Rebol3 Code Examplex
Fraction reduction
Simplify fractions to lowest terms.
Rebol [
title: "Rosetta code: Fraction reduction"
file: %Fraction_reduction.r3
url: https://rosettacode.org/wiki/Fraction_reduction
needs: 3.21.5 ;= compose map
]
unless native? :idivide [
;; backward compatibility (available since 3.21.14)
idivide: func[a b][to integer! (a / b)]
]
fraction-reduction: function/with [
lo [integer!] "lower bound of range"
hi [integer!] "upper bound of range"
/verbose
][
len: length? form hi ;; number of digits
omitted: array/initial 9 0 ;; ommitted digits counters
n-digits: clear [] ;; digit buffer for numerator
d-digits: clear [] ;; digit buffer for denominator
count: 0
for n lo hi 1 [
unless get-digits n len n-digits [continue] ;; skip numbers that don't qualify
for d n + 1 hi + 1 1 [
;; extract and validate denominator digits
unless get-digits d len d-digits [continue] ;; skip invalid denominators
repeat ni len [
all [
nv: n-digits/:ni ;; get numerator digit
di: index? find d-digits nv ;; find matching digit in denominator
rn: remove-digit n-digits len ni ;; numerator with shared digit removed
rd: remove-digit d-digits len di ;; denominator with shared digit removed
n * rd == (rn * d) ;; cross-multiply to check n/d = rn/rd
++ count ;; increment match counter
omitted/:nv: omitted/:nv + 1 ;; track which digit was cancelled
verbose ;; check if output is needed
prin [CR n "/" d "=" rn "/" rd "by omitting" nv "'s"]
count <= 12 ;; only print first 12 matches
prin LF ;; newline after match
]
]
]
]
if verbose [print "^M^[[K"] ;; clear last line
;; return output as a map
compose/only #[
digit: (len)
count: (count)
omitted: (omitted)
]
][
get-digits: function/with [
;; extract digits of n, reject if invalid (zero digit, repeated digit)
num len digits
][
if invalid/:num [return false]
n: num
append/dup clear digits 0 len ;; reset digit buffer
while [n > 0][
r: n % 10
if find digits r [
invalid/:num: true
return false
]
digits/:len: r
-- len
n: idivide n 10
]
true
][ ;; cache invalid numbers
invalid: make bitset! []
]
remove-digit: function [digits len idx][
sum: 0
pow: pick [1 10 100 1000 10000] len - 1
repeat i len [
if i = idx [continue]
sum: sum + (digits/:i * pow)
pow: idivide pow 10
]
sum
]
]
ranges: [
12 97
123 986
1234 9875
;12345 98764
]
foreach [lo hi] ranges [
print [as-yellow "Using range:" lo "to" hi]
res: fraction-reduction/verbose lo hi
print rejoin ["There are " res/count " " res/digit "-digit fractions of which:"]
repeat i 9 [
unless zero? v: res/omitted/:i [
print rejoin [pad v -6 " have " i "'s omitted"]
]
]
print ""
]
Output:
Using range: 12 to 97
16 / 64 = 1 / 4 by omitting 6 's
19 / 95 = 1 / 5 by omitting 9 's
26 / 65 = 2 / 5 by omitting 6 's
49 / 98 = 4 / 8 by omitting 9 's
[K
There are 4 2-digit fractions of which:
2 have 6's omitted
2 have 9's omitted
Using range: 123 to 986
132 / 231 = 12 / 21 by omitting 3 's
134 / 536 = 14 / 56 by omitting 3 's
134 / 938 = 14 / 98 by omitting 3 's
136 / 238 = 16 / 28 by omitting 3 's
138 / 345 = 18 / 45 by omitting 3 's
139 / 695 = 13 / 65 by omitting 9 's
143 / 341 = 13 / 31 by omitting 4 's
146 / 365 = 14 / 35 by omitting 6 's
149 / 298 = 14 / 28 by omitting 9 's
149 / 596 = 14 / 56 by omitting 9 's
149 / 894 = 14 / 84 by omitting 9 's
154 / 253 = 14 / 23 by omitting 5 's
154 / 352 = 14 / 32 by omitting 5 's
154 / 451 = 14 / 41 by omitting 5 's
159 / 795 = 15 / 75 by omitting 9 's
162 / 648 = 12 / 48 by omitting 6 's
163 / 652 = 13 / 52 by omitting 6 's
165 / 264 = 15 / 24 by omitting 6 's
165 / 462 = 15 / 42 by omitting 6 's
165 / 561 = 15 / 51 by omitting 6 's
168 / 672 = 18 / 72 by omitting 6 's
176 / 275 = 16 / 25 by omitting 7 's
176 / 374 = 16 / 34 by omitting 7 's
176 / 473 = 16 / 43 by omitting 7 's
176 / 572 = 16 / 52 by omitting 7 's
176 / 671 = 16 / 61 by omitting 7 's
179 / 895 = 17 / 85 by omitting 9 's
183 / 732 = 18 / 72 by omitting 3 's
186 / 465 = 18 / 45 by omitting 6 's
187 / 286 = 17 / 26 by omitting 8 's
187 / 385 = 17 / 35 by omitting 8 's
187 / 583 = 17 / 53 by omitting 8 's
187 / 682 = 17 / 62 by omitting 8 's
187 / 781 = 17 / 71 by omitting 8 's
193 / 965 = 13 / 65 by omitting 9 's
194 / 291 = 14 / 21 by omitting 9 's
195 / 975 = 15 / 75 by omitting 9 's
196 / 294 = 16 / 24 by omitting 9 's
196 / 392 = 16 / 32 by omitting 9 's
197 / 394 = 17 / 34 by omitting 9 's
197 / 591 = 17 / 51 by omitting 9 's
197 / 985 = 17 / 85 by omitting 9 's
198 / 297 = 18 / 27 by omitting 9 's
198 / 396 = 18 / 36 by omitting 9 's
198 / 495 = 18 / 45 by omitting 9 's
198 / 594 = 18 / 54 by omitting 9 's
198 / 693 = 18 / 63 by omitting 9 's
198 / 792 = 18 / 72 by omitting 9 's
198 / 891 = 18 / 81 by omitting 9 's
216 / 864 = 21 / 84 by omitting 6 's
234 / 936 = 24 / 96 by omitting 3 's
249 / 498 = 24 / 48 by omitting 9 's
253 / 352 = 23 / 32 by omitting 5 's
253 / 451 = 23 / 41 by omitting 5 's
264 / 462 = 24 / 42 by omitting 6 's
264 / 561 = 24 / 51 by omitting 6 's
268 / 469 = 28 / 49 by omitting 6 's
275 / 374 = 25 / 34 by omitting 7 's
275 / 473 = 25 / 43 by omitting 7 's
275 / 572 = 25 / 52 by omitting 7 's
275 / 671 = 25 / 61 by omitting 7 's
286 / 385 = 26 / 35 by omitting 8 's
286 / 583 = 26 / 53 by omitting 8 's
286 / 682 = 26 / 62 by omitting 8 's
286 / 781 = 26 / 71 by omitting 8 's
294 / 392 = 24 / 32 by omitting 9 's
296 / 592 = 26 / 52 by omitting 9 's
297 / 396 = 27 / 36 by omitting 9 's
297 / 495 = 27 / 45 by omitting 9 's
297 / 594 = 27 / 54 by omitting 9 's
297 / 693 = 27 / 63 by omitting 9 's
297 / 792 = 27 / 72 by omitting 9 's
297 / 891 = 27 / 81 by omitting 9 's
298 / 596 = 28 / 56 by omitting 9 's
298 / 894 = 28 / 84 by omitting 9 's
346 / 865 = 34 / 85 by omitting 6 's
349 / 698 = 34 / 68 by omitting 9 's
352 / 451 = 32 / 41 by omitting 5 's
374 / 473 = 34 / 43 by omitting 7 's
374 / 572 = 34 / 52 by omitting 7 's
374 / 671 = 34 / 61 by omitting 7 's
385 / 583 = 35 / 53 by omitting 8 's
385 / 682 = 35 / 62 by omitting 8 's
385 / 781 = 35 / 71 by omitting 8 's
386 / 965 = 38 / 95 by omitting 6 's
394 / 591 = 34 / 51 by omitting 9 's
394 / 985 = 34 / 85 by omitting 9 's
396 / 495 = 36 / 45 by omitting 9 's
396 / 594 = 36 / 54 by omitting 9 's
396 / 693 = 36 / 63 by omitting 9 's
396 / 792 = 36 / 72 by omitting 9 's
396 / 891 = 36 / 81 by omitting 9 's
397 / 794 = 37 / 74 by omitting 9 's
398 / 597 = 38 / 57 by omitting 9 's
398 / 796 = 38 / 76 by omitting 9 's
427 / 976 = 42 / 96 by omitting 7 's
462 / 561 = 42 / 51 by omitting 6 's
473 / 572 = 43 / 52 by omitting 7 's
473 / 671 = 43 / 61 by omitting 7 's
491 / 982 = 41 / 82 by omitting 9 's
492 / 984 = 42 / 84 by omitting 9 's
493 / 986 = 43 / 86 by omitting 9 's
495 / 594 = 45 / 54 by omitting 9 's
495 / 693 = 45 / 63 by omitting 9 's
495 / 792 = 45 / 72 by omitting 9 's
495 / 891 = 45 / 81 by omitting 9 's
532 / 931 = 52 / 91 by omitting 3 's
536 / 938 = 56 / 98 by omitting 3 's
572 / 671 = 52 / 61 by omitting 7 's
583 / 682 = 53 / 62 by omitting 8 's
583 / 781 = 53 / 71 by omitting 8 's
591 / 985 = 51 / 85 by omitting 9 's
594 / 693 = 54 / 63 by omitting 9 's
594 / 792 = 54 / 72 by omitting 9 's
594 / 891 = 54 / 81 by omitting 9 's
596 / 894 = 56 / 84 by omitting 9 's
597 / 796 = 57 / 76 by omitting 9 's
598 / 897 = 58 / 87 by omitting 9 's
682 / 781 = 62 / 71 by omitting 8 's
693 / 792 = 63 / 72 by omitting 9 's
693 / 891 = 63 / 81 by omitting 9 's
792 / 891 = 72 / 81 by omitting 9 's
[K
There are 122 3-digit fractions of which:
9 have 3's omitted
1 have 4's omitted
6 have 5's omitted
15 have 6's omitted
16 have 7's omitted
15 have 8's omitted
60 have 9's omitted
Using range: 1234 to 9875
1234 / 4936 = 124 / 496 by omitting 3 's
1239 / 6195 = 123 / 615 by omitting 9 's
1246 / 3649 = 126 / 369 by omitting 4 's
1249 / 2498 = 124 / 248 by omitting 9 's
1259 / 6295 = 125 / 625 by omitting 9 's
1279 / 6395 = 127 / 635 by omitting 9 's
1283 / 5132 = 128 / 512 by omitting 3 's
1297 / 2594 = 127 / 254 by omitting 9 's
1297 / 3891 = 127 / 381 by omitting 9 's
1298 / 2596 = 128 / 256 by omitting 9 's
1298 / 3894 = 128 / 384 by omitting 9 's
1298 / 5192 = 128 / 512 by omitting 9 's
1324 / 2317 = 124 / 217 by omitting 3 's
1328 / 4316 = 128 / 416 by omitting 3 's
1328 / 5312 = 128 / 512 by omitting 3 's
1329 / 5316 = 129 / 516 by omitting 3 's
1342 / 5368 = 142 / 568 by omitting 3 's
1342 / 7381 = 142 / 781 by omitting 3 's
1346 / 5384 = 146 / 584 by omitting 3 's
1348 / 2359 = 148 / 259 by omitting 3 's
1348 / 4381 = 148 / 481 by omitting 3 's
1348 / 5392 = 148 / 592 by omitting 3 's
1349 / 2698 = 134 / 268 by omitting 9 's
1349 / 5396 = 149 / 596 by omitting 3 's
1349 / 5396 = 134 / 536 by omitting 9 's
1356 / 7458 = 136 / 748 by omitting 5 's
1359 / 6795 = 135 / 675 by omitting 9 's
1364 / 2387 = 164 / 287 by omitting 3 's
1367 / 5468 = 137 / 548 by omitting 6 's
1368 / 2394 = 168 / 294 by omitting 3 's
1379 / 6895 = 137 / 685 by omitting 9 's
1386 / 3465 = 186 / 465 by omitting 3 's
1386 / 3465 = 138 / 345 by omitting 6 's
1394 / 3485 = 194 / 485 by omitting 3 's
1395 / 6975 = 135 / 675 by omitting 9 's
1397 / 2794 = 137 / 274 by omitting 9 's
1397 / 6985 = 137 / 685 by omitting 9 's
1398 / 2796 = 138 / 276 by omitting 9 's
1398 / 3495 = 198 / 495 by omitting 3 's
1398 / 3495 = 138 / 345 by omitting 9 's
1398 / 4893 = 138 / 483 by omitting 9 's
1398 / 6291 = 138 / 621 by omitting 9 's
1439 / 7195 = 143 / 715 by omitting 9 's
1456 / 3472 = 156 / 372 by omitting 4 's
1459 / 7295 = 145 / 725 by omitting 9 's
1463 / 1862 = 143 / 182 by omitting 6 's
1463 / 8645 = 143 / 845 by omitting 6 's
1468 / 2569 = 148 / 259 by omitting 6 's
1469 / 2486 = 169 / 286 by omitting 4 's
1479 / 7395 = 147 / 735 by omitting 9 's
1483 / 5932 = 148 / 592 by omitting 3 's
1492 / 2984 = 142 / 284 by omitting 9 's
1492 / 5968 = 142 / 568 by omitting 9 's
1492 / 8952 = 142 / 852 by omitting 9 's
1493 / 2986 = 143 / 286 by omitting 9 's
1493 / 5972 = 143 / 572 by omitting 9 's
1495 / 1794 = 145 / 174 by omitting 9 's
1495 / 2691 = 145 / 261 by omitting 9 's
1496 / 5984 = 146 / 584 by omitting 9 's
1496 / 8976 = 146 / 876 by omitting 9 's
1497 / 2495 = 147 / 245 by omitting 9 's
1497 / 7984 = 147 / 784 by omitting 9 's
1534 / 8437 = 154 / 847 by omitting 3 's
1539 / 7695 = 153 / 765 by omitting 9 's
1546 / 3865 = 154 / 385 by omitting 6 's
1547 / 7514 = 147 / 714 by omitting 5 's
1548 / 8514 = 148 / 814 by omitting 5 's
1562 / 8591 = 162 / 891 by omitting 5 's
1568 / 2576 = 168 / 276 by omitting 5 's
1568 / 3584 = 168 / 384 by omitting 5 's
1568 / 4592 = 168 / 492 by omitting 5 's
1578 / 8679 = 158 / 869 by omitting 7 's
1579 / 7895 = 157 / 785 by omitting 9 's
1586 / 2684 = 156 / 264 by omitting 8 's
1586 / 3782 = 156 / 372 by omitting 8 's
1586 / 3965 = 158 / 395 by omitting 6 's
1592 / 2985 = 152 / 285 by omitting 9 's
1592 / 4975 = 152 / 475 by omitting 9 's
1593 / 7965 = 153 / 765 by omitting 9 's
1594 / 2391 = 154 / 231 by omitting 9 's
1594 / 3985 = 154 / 385 by omitting 9 's
1596 / 2394 = 156 / 234 by omitting 9 's
1596 / 2793 = 156 / 273 by omitting 9 's
1596 / 3192 = 156 / 312 by omitting 9 's
1596 / 3591 = 156 / 351 by omitting 9 's
1597 / 3194 = 157 / 314 by omitting 9 's
1597 / 4791 = 157 / 471 by omitting 9 's
1597 / 7985 = 157 / 785 by omitting 9 's
1598 / 2397 = 158 / 237 by omitting 9 's
1598 / 3196 = 158 / 316 by omitting 9 's
1598 / 6392 = 158 / 632 by omitting 9 's
1623 / 6492 = 123 / 492 by omitting 6 's
1628 / 6512 = 128 / 512 by omitting 6 's
1632 / 6528 = 132 / 528 by omitting 6 's
1637 / 6548 = 137 / 548 by omitting 6 's
1639 / 8195 = 163 / 815 by omitting 9 's
1643 / 6572 = 143 / 572 by omitting 6 's
1645 / 3619 = 145 / 319 by omitting 6 's
1648 / 6592 = 148 / 592 by omitting 6 's
1649 / 3298 = 164 / 328 by omitting 9 's
1659 / 8295 = 165 / 825 by omitting 9 's
1675 / 3685 = 175 / 385 by omitting 6 's
1678 / 6712 = 178 / 712 by omitting 6 's
1679 / 8395 = 167 / 835 by omitting 9 's
1682 / 6728 = 182 / 728 by omitting 6 's
1683 / 6732 = 183 / 732 by omitting 6 's
1683 / 6732 = 168 / 672 by omitting 3 's
1687 / 6748 = 187 / 748 by omitting 6 's
1698 / 6792 = 198 / 792 by omitting 6 's
1698 / 6792 = 168 / 672 by omitting 9 's
1734 / 9537 = 174 / 957 by omitting 3 's
1739 / 8695 = 173 / 865 by omitting 9 's
1746 / 4365 = 174 / 435 by omitting 6 's
1749 / 3498 = 174 / 348 by omitting 9 's
1756 / 9658 = 176 / 968 by omitting 5 's
1759 / 8795 = 175 / 875 by omitting 9 's
1768 / 5746 = 168 / 546 by omitting 7 's
1768 / 9724 = 168 / 924 by omitting 7 's
1783 / 7132 = 178 / 712 by omitting 3 's
1784 / 3791 = 184 / 391 by omitting 7 's
1784 / 5798 = 184 / 598 by omitting 7 's
1793 / 8965 = 173 / 865 by omitting 9 's
1794 / 2691 = 174 / 261 by omitting 9 's
1795 / 8975 = 175 / 875 by omitting 9 's
1796 / 2694 = 176 / 264 by omitting 9 's
1796 / 3592 = 176 / 352 by omitting 9 's
1798 / 2697 = 178 / 267 by omitting 9 's
1798 / 3596 = 178 / 356 by omitting 9 's
1798 / 5394 = 178 / 534 by omitting 9 's
1798 / 6293 = 178 / 623 by omitting 9 's
1798 / 7192 = 178 / 712 by omitting 9 's
1824 / 5928 = 184 / 598 by omitting 2 's
1827 / 4176 = 182 / 416 by omitting 7 's
1832 / 7328 = 182 / 728 by omitting 3 's
1835 / 2936 = 185 / 296 by omitting 3 's
1835 / 5138 = 185 / 518 by omitting 3 's
1835 / 6239 = 185 / 629 by omitting 3 's
1837 / 2839 = 187 / 289 by omitting 3 's
1837 / 7348 = 187 / 748 by omitting 3 's
1837 / 9352 = 187 / 952 by omitting 3 's
1839 / 7356 = 189 / 756 by omitting 3 's
1849 / 3698 = 184 / 368 by omitting 9 's
1849 / 7396 = 184 / 736 by omitting 9 's
1853 / 2834 = 153 / 234 by omitting 8 's
1853 / 3815 = 153 / 315 by omitting 8 's
1862 / 8645 = 182 / 845 by omitting 6 's
1864 / 2563 = 184 / 253 by omitting 6 's
1864 / 3961 = 184 / 391 by omitting 6 's
1867 / 7468 = 187 / 748 by omitting 6 's
1896 / 3792 = 186 / 372 by omitting 9 's
1897 / 3794 = 187 / 374 by omitting 9 's
1897 / 5691 = 187 / 561 by omitting 9 's
1923 / 9615 = 123 / 615 by omitting 9 's
1925 / 9625 = 125 / 625 by omitting 9 's
1927 / 9635 = 127 / 635 by omitting 9 's
1934 / 4835 = 194 / 485 by omitting 3 's
1935 / 9675 = 135 / 675 by omitting 9 's
1937 / 9685 = 137 / 685 by omitting 9 's
1942 / 2913 = 142 / 213 by omitting 9 's
1943 / 9715 = 143 / 715 by omitting 9 's
1945 / 8947 = 195 / 897 by omitting 4 's
1945 / 9725 = 145 / 725 by omitting 9 's
1946 / 4865 = 194 / 485 by omitting 6 's
1946 / 9452 = 196 / 952 by omitting 4 's
1947 / 9735 = 147 / 735 by omitting 9 's
1953 / 9765 = 153 / 765 by omitting 9 's
1954 / 2931 = 154 / 231 by omitting 9 's
1956 / 2934 = 156 / 234 by omitting 9 's
1956 / 3912 = 156 / 312 by omitting 9 's
1956 / 6357 = 196 / 637 by omitting 5 's
1957 / 3914 = 157 / 314 by omitting 9 's
1957 / 9785 = 157 / 785 by omitting 9 's
1958 / 2759 = 198 / 279 by omitting 5 's
1958 / 2937 = 158 / 237 by omitting 9 's
1958 / 3916 = 158 / 316 by omitting 9 's
1962 / 2943 = 162 / 243 by omitting 9 's
1962 / 3924 = 162 / 324 by omitting 9 's
1963 / 3926 = 163 / 326 by omitting 9 's
1963 / 9815 = 163 / 815 by omitting 9 's
1964 / 2946 = 164 / 246 by omitting 9 's
1964 / 3928 = 164 / 328 by omitting 9 's
1965 / 9825 = 165 / 825 by omitting 9 's
1967 / 9835 = 167 / 835 by omitting 9 's
1972 / 2958 = 172 / 258 by omitting 9 's
1972 / 5916 = 172 / 516 by omitting 9 's
1973 / 3946 = 173 / 346 by omitting 9 's
1973 / 9865 = 173 / 865 by omitting 9 's
1974 / 2961 = 174 / 261 by omitting 9 's
1974 / 3948 = 174 / 348 by omitting 9 's
1974 / 4935 = 174 / 435 by omitting 9 's
1975 / 9875 = 175 / 875 by omitting 9 's
1976 / 2964 = 176 / 264 by omitting 9 's
1976 / 3952 = 176 / 352 by omitting 9 's
1976 / 5928 = 176 / 528 by omitting 9 's
1978 / 2967 = 178 / 267 by omitting 9 's
1978 / 3956 = 178 / 356 by omitting 9 's
1978 / 5934 = 178 / 534 by omitting 9 's
1978 / 6923 = 178 / 623 by omitting 9 's
1978 / 7912 = 178 / 712 by omitting 9 's
1982 / 2973 = 182 / 273 by omitting 9 's
1982 / 3964 = 182 / 364 by omitting 9 's
1982 / 5946 = 182 / 546 by omitting 9 's
1982 / 6937 = 182 / 637 by omitting 9 's
1982 / 7928 = 182 / 728 by omitting 9 's
1983 / 7932 = 183 / 732 by omitting 9 's
1983 / 7932 = 198 / 792 by omitting 3 's
1984 / 2976 = 184 / 276 by omitting 9 's
1984 / 3968 = 184 / 368 by omitting 9 's
1984 / 7936 = 184 / 736 by omitting 9 's
1986 / 3972 = 186 / 372 by omitting 9 's
1986 / 4965 = 186 / 465 by omitting 9 's
1986 / 4965 = 198 / 495 by omitting 6 's
1986 / 6951 = 186 / 651 by omitting 9 's
1986 / 8937 = 186 / 837 by omitting 9 's
1987 / 3974 = 187 / 374 by omitting 9 's
1987 / 5961 = 187 / 561 by omitting 9 's
1987 / 7948 = 187 / 748 by omitting 9 's
2134 / 8536 = 214 / 856 by omitting 3 's
2136 / 2937 = 216 / 297 by omitting 3 's
2136 / 4539 = 216 / 459 by omitting 3 's
2136 / 9345 = 216 / 945 by omitting 3 's
2147 / 3164 = 247 / 364 by omitting 1 's
2147 / 5198 = 247 / 598 by omitting 1 's
2149 / 4298 = 214 / 428 by omitting 9 's
2149 / 8596 = 214 / 856 by omitting 9 's
2163 / 8652 = 213 / 852 by omitting 6 's
2165 / 4763 = 215 / 473 by omitting 6 's
2165 / 7361 = 215 / 731 by omitting 6 's
2168 / 8672 = 218 / 872 by omitting 6 's
2168 / 9485 = 216 / 945 by omitting 8 's
2183 / 8732 = 218 / 872 by omitting 3 's
2194 / 3291 = 214 / 321 by omitting 9 's
2196 / 3294 = 216 / 324 by omitting 9 's
2196 / 4392 = 216 / 432 by omitting 9 's
2197 / 6591 = 217 / 651 by omitting 9 's
2198 / 3297 = 218 / 327 by omitting 9 's
2198 / 4396 = 218 / 436 by omitting 9 's
2198 / 6594 = 218 / 654 by omitting 9 's
2198 / 7693 = 218 / 763 by omitting 9 's
2198 / 8792 = 218 / 872 by omitting 9 's
2314 / 3916 = 234 / 396 by omitting 1 's
2314 / 6319 = 234 / 639 by omitting 1 's
2316 / 9264 = 231 / 924 by omitting 6 's
2317 / 8275 = 231 / 825 by omitting 7 's
2341 / 9364 = 241 / 964 by omitting 3 's
2345 / 8375 = 245 / 875 by omitting 3 's
2346 / 9384 = 246 / 984 by omitting 3 's
2349 / 4698 = 234 / 468 by omitting 9 's
2359 / 4381 = 259 / 481 by omitting 3 's
2359 / 5392 = 259 / 592 by omitting 3 's
2367 / 9468 = 237 / 948 by omitting 6 's
2391 / 3985 = 231 / 385 by omitting 9 's
2394 / 2793 = 234 / 273 by omitting 9 's
2394 / 3192 = 234 / 312 by omitting 9 's
2394 / 3591 = 234 / 351 by omitting 9 's
2396 / 3594 = 236 / 354 by omitting 9 's
2396 / 4193 = 236 / 413 by omitting 9 's
2396 / 4792 = 236 / 472 by omitting 9 's
2396 / 5391 = 236 / 531 by omitting 9 's
2397 / 3196 = 237 / 316 by omitting 9 's
2397 / 6392 = 237 / 632 by omitting 9 's
2398 / 3597 = 238 / 357 by omitting 9 's
2398 / 4796 = 238 / 476 by omitting 9 's
2398 / 7194 = 238 / 714 by omitting 9 's
2457 / 4158 = 247 / 418 by omitting 5 's
2491 / 4982 = 241 / 482 by omitting 9 's
2493 / 4986 = 243 / 486 by omitting 9 's
2495 / 7984 = 245 / 784 by omitting 9 's
2497 / 7491 = 247 / 741 by omitting 9 's
2538 / 6345 = 258 / 645 by omitting 3 's
2563 / 3961 = 253 / 391 by omitting 6 's
2576 / 3584 = 276 / 384 by omitting 5 's
2576 / 4592 = 276 / 492 by omitting 5 's
2576 / 8372 = 256 / 832 by omitting 7 's
2594 / 3891 = 254 / 381 by omitting 9 's
2596 / 3894 = 256 / 384 by omitting 9 's
2596 / 5192 = 256 / 512 by omitting 9 's
2597 / 5194 = 257 / 514 by omitting 9 's
2597 / 9275 = 259 / 925 by omitting 7 's
2598 / 3897 = 258 / 387 by omitting 9 's
2598 / 5196 = 258 / 516 by omitting 9 's
2598 / 6495 = 258 / 645 by omitting 9 's
2648 / 3641 = 248 / 341 by omitting 6 's
2648 / 5627 = 248 / 527 by omitting 6 's
2648 / 7613 = 248 / 713 by omitting 6 's
2649 / 5298 = 264 / 528 by omitting 9 's
2684 / 3782 = 264 / 372 by omitting 8 's
2684 / 4697 = 284 / 497 by omitting 6 's
2694 / 3592 = 264 / 352 by omitting 9 's
2694 / 6735 = 294 / 735 by omitting 6 's
2697 / 3596 = 267 / 356 by omitting 9 's
2697 / 5394 = 267 / 534 by omitting 9 's
2697 / 6293 = 267 / 623 by omitting 9 's
2697 / 7192 = 267 / 712 by omitting 9 's
2698 / 5396 = 268 / 536 by omitting 9 's
2698 / 6745 = 298 / 745 by omitting 6 's
2734 / 6835 = 274 / 685 by omitting 3 's
2735 / 7658 = 235 / 658 by omitting 7 's
2743 / 6541 = 273 / 651 by omitting 4 's
2749 / 5498 = 274 / 548 by omitting 9 's
2756 / 8957 = 276 / 897 by omitting 5 's
2793 / 3192 = 273 / 312 by omitting 9 's
2793 / 3591 = 273 / 351 by omitting 9 's
2794 / 6985 = 274 / 685 by omitting 9 's
2795 / 7826 = 295 / 826 by omitting 7 's
2796 / 3495 = 276 / 345 by omitting 9 's
2796 / 4893 = 276 / 483 by omitting 9 's
2796 / 6291 = 276 / 621 by omitting 9 's
2798 / 4197 = 278 / 417 by omitting 9 's
2798 / 8394 = 278 / 834 by omitting 9 's
2834 / 3815 = 234 / 315 by omitting 8 's
2835 / 4536 = 285 / 456 by omitting 3 's
2835 / 6237 = 285 / 627 by omitting 3 's
2835 / 7938 = 285 / 798 by omitting 3 's
2839 / 7348 = 289 / 748 by omitting 3 's
2839 / 9352 = 289 / 952 by omitting 3 's
2849 / 5698 = 284 / 568 by omitting 9 's
2873 / 4862 = 273 / 462 by omitting 8 's
2873 / 6851 = 273 / 651 by omitting 8 's
2896 / 5792 = 286 / 572 by omitting 9 's
2897 / 5794 = 287 / 574 by omitting 9 's
2897 / 8691 = 287 / 861 by omitting 9 's
2934 / 3912 = 234 / 312 by omitting 9 's
2936 / 5138 = 296 / 518 by omitting 3 's
2936 / 6239 = 296 / 629 by omitting 3 's
2937 / 3916 = 237 / 316 by omitting 9 's
2937 / 4539 = 297 / 459 by omitting 3 's
2937 / 9345 = 297 / 945 by omitting 3 's
2938 / 7345 = 298 / 745 by omitting 3 's
2943 / 3924 = 243 / 324 by omitting 9 's
2945 / 8246 = 295 / 826 by omitting 4 's
2946 / 3928 = 246 / 328 by omitting 9 's
2946 / 7365 = 294 / 735 by omitting 6 's
2954 / 4853 = 294 / 483 by omitting 5 's
2954 / 6752 = 294 / 672 by omitting 5 's
2954 / 8651 = 294 / 861 by omitting 5 's
2956 / 5912 = 256 / 512 by omitting 9 's
2957 / 5914 = 257 / 514 by omitting 9 's
2958 / 5916 = 258 / 516 by omitting 9 's
2961 / 3948 = 261 / 348 by omitting 9 's
2961 / 4935 = 261 / 435 by omitting 9 's
2963 / 5926 = 263 / 526 by omitting 9 's
2964 / 3952 = 264 / 352 by omitting 9 's
2964 / 5928 = 264 / 528 by omitting 9 's
2967 / 3956 = 267 / 356 by omitting 9 's
2967 / 5934 = 267 / 534 by omitting 9 's
2967 / 6923 = 267 / 623 by omitting 9 's
2967 / 7912 = 267 / 712 by omitting 9 's
2968 / 5936 = 268 / 536 by omitting 9 's
2971 / 5942 = 271 / 542 by omitting 9 's
2971 / 8913 = 271 / 813 by omitting 9 's
2973 / 3964 = 273 / 364 by omitting 9 's
2973 / 5946 = 273 / 546 by omitting 9 's
2973 / 6937 = 273 / 637 by omitting 9 's
2973 / 7928 = 273 / 728 by omitting 9 's
2974 / 5948 = 274 / 548 by omitting 9 's
2975 / 8925 = 275 / 825 by omitting 9 's
2976 / 3968 = 276 / 368 by omitting 9 's
2976 / 7936 = 276 / 736 by omitting 9 's
2976 / 9672 = 296 / 962 by omitting 7 's
2978 / 8934 = 278 / 834 by omitting 9 's
2981 / 5962 = 281 / 562 by omitting 9 's
2981 / 8943 = 281 / 843 by omitting 9 's
2984 / 5968 = 284 / 568 by omitting 9 's
2984 / 8952 = 284 / 852 by omitting 9 's
2985 / 4975 = 285 / 475 by omitting 9 's
2986 / 5972 = 286 / 572 by omitting 9 's
2986 / 7465 = 298 / 745 by omitting 6 's
2987 / 5974 = 287 / 574 by omitting 9 's
2987 / 8961 = 287 / 861 by omitting 9 's
3129 / 7152 = 329 / 752 by omitting 1 's
3146 / 7865 = 314 / 785 by omitting 6 's
3149 / 6298 = 314 / 628 by omitting 9 's
3164 / 5198 = 364 / 598 by omitting 1 's
3186 / 7965 = 318 / 795 by omitting 6 's
3192 / 3591 = 312 / 351 by omitting 9 's
3194 / 4791 = 314 / 471 by omitting 9 's
3194 / 7985 = 314 / 785 by omitting 9 's
3196 / 6392 = 316 / 632 by omitting 9 's
3197 / 6394 = 317 / 634 by omitting 9 's
3219 / 4218 = 319 / 418 by omitting 2 's
3219 / 5217 = 319 / 517 by omitting 2 's
3219 / 7215 = 319 / 715 by omitting 2 's
3219 / 8214 = 319 / 814 by omitting 2 's
3219 / 9213 = 319 / 913 by omitting 2 's
3248 / 4256 = 348 / 456 by omitting 2 's
3248 / 5264 = 348 / 564 by omitting 2 's
3249 / 6498 = 324 / 648 by omitting 9 's
3294 / 4392 = 324 / 432 by omitting 9 's
3296 / 6592 = 326 / 652 by omitting 9 's
3297 / 4396 = 327 / 436 by omitting 9 's
3297 / 6594 = 327 / 654 by omitting 9 's
3297 / 7693 = 327 / 763 by omitting 9 's
3297 / 8792 = 327 / 872 by omitting 9 's
3491 / 6982 = 341 / 682 by omitting 9 's
3492 / 6984 = 342 / 684 by omitting 9 's
3495 / 4893 = 345 / 483 by omitting 9 's
3495 / 6291 = 345 / 621 by omitting 9 's
3568 / 7582 = 368 / 782 by omitting 5 's
3584 / 4592 = 384 / 492 by omitting 5 's
3586 / 8965 = 358 / 895 by omitting 6 's
3587 / 5486 = 357 / 546 by omitting 8 's
3587 / 7385 = 357 / 735 by omitting 8 's
3587 / 9284 = 357 / 924 by omitting 8 's
3594 / 4193 = 354 / 413 by omitting 9 's
3594 / 4792 = 354 / 472 by omitting 9 's
3594 / 5391 = 354 / 531 by omitting 9 's
3596 / 5394 = 356 / 534 by omitting 9 's
3596 / 6293 = 356 / 623 by omitting 9 's
3596 / 7192 = 356 / 712 by omitting 9 's
3597 / 4796 = 357 / 476 by omitting 9 's
3597 / 7194 = 357 / 714 by omitting 9 's
3598 / 5397 = 358 / 537 by omitting 9 's
3598 / 7196 = 358 / 716 by omitting 9 's
3641 / 5627 = 341 / 527 by omitting 6 's
3641 / 7613 = 341 / 713 by omitting 6 's
3649 / 7298 = 364 / 728 by omitting 9 's
3652 / 8632 = 352 / 832 by omitting 6 's
3652 / 9628 = 352 / 928 by omitting 6 's
3654 / 8352 = 364 / 832 by omitting 5 's
3674 / 5678 = 374 / 578 by omitting 6 's
3674 / 7682 = 374 / 782 by omitting 6 's
3697 / 7394 = 367 / 734 by omitting 9 's
3698 / 7396 = 368 / 736 by omitting 9 's
3746 / 9365 = 374 / 935 by omitting 6 's
3749 / 7498 = 374 / 748 by omitting 9 's
3786 / 9465 = 378 / 945 by omitting 6 's
3791 / 5798 = 391 / 598 by omitting 7 's
3794 / 5691 = 374 / 561 by omitting 9 's
3796 / 5694 = 376 / 564 by omitting 9 's
3796 / 7592 = 376 / 752 by omitting 9 's
3798 / 5697 = 378 / 567 by omitting 9 's
3798 / 7596 = 378 / 756 by omitting 9 's
3824 / 8126 = 384 / 816 by omitting 2 's
3827 / 4628 = 387 / 468 by omitting 2 's
3827 / 5429 = 387 / 549 by omitting 2 's
3829 / 8752 = 329 / 752 by omitting 8 's
3849 / 7698 = 384 / 768 by omitting 9 's
3894 / 5192 = 384 / 512 by omitting 9 's
3897 / 5196 = 387 / 516 by omitting 9 's
3897 / 6495 = 387 / 645 by omitting 9 's
3914 / 9785 = 314 / 785 by omitting 9 's
3916 / 6319 = 396 / 639 by omitting 1 's
3926 / 9815 = 326 / 815 by omitting 9 's
3927 / 8976 = 392 / 896 by omitting 7 's
3942 / 5913 = 342 / 513 by omitting 9 's
3946 / 9865 = 346 / 865 by omitting 9 's
3946 / 9865 = 394 / 985 by omitting 6 's
3948 / 4935 = 348 / 435 by omitting 9 's
3952 / 5928 = 352 / 528 by omitting 9 's
3954 / 5931 = 354 / 531 by omitting 9 's
3956 / 5934 = 356 / 534 by omitting 9 's
3956 / 6923 = 356 / 623 by omitting 9 's
3956 / 7912 = 356 / 712 by omitting 9 's
3957 / 7914 = 357 / 714 by omitting 9 's
3958 / 5937 = 358 / 537 by omitting 9 's
3958 / 7916 = 358 / 716 by omitting 9 's
3962 / 5943 = 362 / 543 by omitting 9 's
3962 / 7924 = 362 / 724 by omitting 9 's
3964 / 5946 = 364 / 546 by omitting 9 's
3964 / 6937 = 364 / 637 by omitting 9 's
3964 / 7928 = 364 / 728 by omitting 9 's
3967 / 7934 = 367 / 734 by omitting 9 's
3968 / 7936 = 368 / 736 by omitting 9 's
3971 / 7942 = 371 / 742 by omitting 9 's
3972 / 4965 = 372 / 465 by omitting 9 's
3972 / 6951 = 372 / 651 by omitting 9 's
3972 / 8937 = 372 / 837 by omitting 9 's
3974 / 5961 = 374 / 561 by omitting 9 's
3974 / 7948 = 374 / 748 by omitting 9 's
3976 / 5964 = 376 / 564 by omitting 9 's
3976 / 6958 = 376 / 658 by omitting 9 's
3976 / 7952 = 376 / 752 by omitting 9 's
3976 / 8946 = 376 / 846 by omitting 9 's
3978 / 5967 = 378 / 567 by omitting 9 's
3978 / 7956 = 378 / 756 by omitting 9 's
3981 / 7962 = 381 / 762 by omitting 9 's
3982 / 5973 = 382 / 573 by omitting 9 's
3982 / 7964 = 382 / 764 by omitting 9 's
3984 / 5976 = 384 / 576 by omitting 9 's
3984 / 6972 = 384 / 672 by omitting 9 's
3984 / 7968 = 384 / 768 by omitting 9 's
3984 / 8964 = 384 / 864 by omitting 9 's
4132 / 7231 = 412 / 721 by omitting 3 's
4136 / 7238 = 416 / 728 by omitting 3 's
4165 / 9163 = 415 / 913 by omitting 6 's
4193 / 4792 = 413 / 472 by omitting 9 's
4193 / 5391 = 413 / 531 by omitting 9 's
4196 / 6294 = 416 / 624 by omitting 9 's
4196 / 8392 = 416 / 832 by omitting 9 's
4197 / 8394 = 417 / 834 by omitting 9 's
4198 / 6297 = 418 / 627 by omitting 9 's
4198 / 8396 = 418 / 836 by omitting 9 's
4218 / 5217 = 418 / 517 by omitting 2 's
4218 / 7215 = 418 / 715 by omitting 2 's
4218 / 8214 = 418 / 814 by omitting 2 's
4218 / 9213 = 418 / 913 by omitting 2 's
4237 / 8251 = 437 / 851 by omitting 2 's
4256 / 5264 = 456 / 564 by omitting 2 's
4268 / 7469 = 428 / 749 by omitting 6 's
4296 / 8592 = 426 / 852 by omitting 9 's
4297 / 8594 = 427 / 854 by omitting 9 's
4298 / 8596 = 428 / 856 by omitting 9 's
4316 / 5312 = 416 / 512 by omitting 3 's
4329 / 5328 = 429 / 528 by omitting 3 's
4329 / 6327 = 429 / 627 by omitting 3 's
4329 / 7326 = 429 / 726 by omitting 3 's
4329 / 8325 = 429 / 825 by omitting 3 's
4329 / 9324 = 429 / 924 by omitting 3 's
4368 / 5376 = 468 / 576 by omitting 3 's
4368 / 6384 = 468 / 684 by omitting 3 's
4368 / 7392 = 468 / 792 by omitting 3 's
4381 / 5392 = 481 / 592 by omitting 3 's
4396 / 6594 = 436 / 654 by omitting 9 's
4396 / 7693 = 436 / 763 by omitting 9 's
4396 / 8792 = 436 / 872 by omitting 9 's
4397 / 8794 = 437 / 874 by omitting 9 's
4398 / 6597 = 438 / 657 by omitting 9 's
4398 / 8796 = 438 / 876 by omitting 9 's
4532 / 7931 = 452 / 791 by omitting 3 's
4536 / 6237 = 456 / 627 by omitting 3 's
4536 / 7938 = 456 / 798 by omitting 3 's
4539 / 9345 = 459 / 945 by omitting 3 's
4596 / 6894 = 456 / 684 by omitting 9 's
4598 / 6897 = 458 / 687 by omitting 9 's
4628 / 5429 = 468 / 549 by omitting 2 's
4683 / 8697 = 483 / 897 by omitting 6 's
4725 / 8127 = 475 / 817 by omitting 2 's
4763 / 7361 = 473 / 731 by omitting 6 's
4791 / 7985 = 471 / 785 by omitting 9 's
4792 / 5391 = 472 / 531 by omitting 9 's
4796 / 7194 = 476 / 714 by omitting 9 's
4853 / 6752 = 483 / 672 by omitting 5 's
4853 / 8651 = 483 / 861 by omitting 5 's
4862 / 6851 = 462 / 651 by omitting 8 's
4893 / 6291 = 483 / 621 by omitting 9 's
4912 / 9824 = 412 / 824 by omitting 9 's
4913 / 7514 = 493 / 754 by omitting 1 's
4913 / 9826 = 413 / 826 by omitting 9 's
4916 / 9832 = 416 / 832 by omitting 9 's
4917 / 9834 = 417 / 834 by omitting 9 's
4918 / 9836 = 418 / 836 by omitting 9 's
4921 / 9842 = 421 / 842 by omitting 9 's
4923 / 9846 = 423 / 846 by omitting 9 's
4926 / 9852 = 426 / 852 by omitting 9 's
4927 / 9854 = 427 / 854 by omitting 9 's
4928 / 9856 = 428 / 856 by omitting 9 's
4931 / 9862 = 431 / 862 by omitting 9 's
4932 / 8631 = 492 / 861 by omitting 3 's
4932 / 9864 = 432 / 864 by omitting 9 's
4936 / 9872 = 436 / 872 by omitting 9 's
4937 / 9874 = 437 / 874 by omitting 9 's
4938 / 9876 = 438 / 876 by omitting 9 's
4965 / 6951 = 465 / 651 by omitting 9 's
4965 / 8937 = 465 / 837 by omitting 9 's
4985 / 5982 = 485 / 582 by omitting 9 's
4985 / 8973 = 485 / 873 by omitting 9 's
5129 / 7136 = 529 / 736 by omitting 1 's
5129 / 9143 = 529 / 943 by omitting 1 's
5137 / 6538 = 517 / 658 by omitting 3 's
5138 / 6239 = 518 / 629 by omitting 3 's
5196 / 6495 = 516 / 645 by omitting 9 's
5217 / 7215 = 517 / 715 by omitting 2 's
5217 / 8214 = 517 / 814 by omitting 2 's
5217 / 9213 = 517 / 913 by omitting 2 's
5324 / 9317 = 524 / 917 by omitting 3 's
5328 / 6327 = 528 / 627 by omitting 3 's
5328 / 7326 = 528 / 726 by omitting 3 's
5328 / 8325 = 528 / 825 by omitting 3 's
5328 / 9324 = 528 / 924 by omitting 3 's
5364 / 9387 = 564 / 987 by omitting 3 's
5368 / 7381 = 568 / 781 by omitting 3 's
5376 / 6384 = 576 / 684 by omitting 3 's
5376 / 7392 = 576 / 792 by omitting 3 's
5394 / 6293 = 534 / 623 by omitting 9 's
5394 / 7192 = 534 / 712 by omitting 9 's
5397 / 7196 = 537 / 716 by omitting 9 's
5439 / 6438 = 539 / 638 by omitting 4 's
5439 / 8436 = 539 / 836 by omitting 4 's
5439 / 9435 = 539 / 935 by omitting 4 's
5486 / 7385 = 546 / 735 by omitting 8 's
5486 / 9284 = 546 / 924 by omitting 8 's
5627 / 7613 = 527 / 713 by omitting 6 's
5678 / 7682 = 578 / 782 by omitting 6 's
5694 / 7592 = 564 / 752 by omitting 9 's
5697 / 7596 = 567 / 756 by omitting 9 's
5746 / 9724 = 546 / 924 by omitting 7 's
5794 / 8691 = 574 / 861 by omitting 9 's
5796 / 8694 = 576 / 864 by omitting 9 's
5798 / 8697 = 578 / 867 by omitting 9 's
5863 / 7462 = 583 / 742 by omitting 6 's
5934 / 6923 = 534 / 623 by omitting 9 's
5934 / 7912 = 534 / 712 by omitting 9 's
5937 / 7916 = 537 / 716 by omitting 9 's
5942 / 8913 = 542 / 813 by omitting 9 's
5943 / 7924 = 543 / 724 by omitting 9 's
5946 / 6937 = 546 / 637 by omitting 9 's
5946 / 7928 = 546 / 728 by omitting 9 's
5961 / 7948 = 561 / 748 by omitting 9 's
5962 / 8943 = 562 / 843 by omitting 9 's
5964 / 6958 = 564 / 658 by omitting 9 's
5964 / 7952 = 564 / 752 by omitting 9 's
5964 / 8946 = 564 / 846 by omitting 9 's
5967 / 7956 = 567 / 756 by omitting 9 's
5968 / 8952 = 568 / 852 by omitting 9 's
5973 / 7964 = 573 / 764 by omitting 9 's
5974 / 8961 = 574 / 861 by omitting 9 's
5976 / 6972 = 576 / 672 by omitting 9 's
5976 / 7968 = 576 / 768 by omitting 9 's
5976 / 8964 = 576 / 864 by omitting 9 's
5978 / 8967 = 578 / 867 by omitting 9 's
5982 / 8973 = 582 / 873 by omitting 9 's
5984 / 8976 = 584 / 876 by omitting 9 's
6237 / 7938 = 627 / 798 by omitting 3 's
6293 / 7192 = 623 / 712 by omitting 9 's
6294 / 8392 = 624 / 832 by omitting 9 's
6297 / 8396 = 627 / 836 by omitting 9 's
6327 / 7326 = 627 / 726 by omitting 3 's
6327 / 8325 = 627 / 825 by omitting 3 's
6327 / 9324 = 627 / 924 by omitting 3 's
6384 / 7392 = 684 / 792 by omitting 3 's
6438 / 8436 = 638 / 836 by omitting 4 's
6438 / 9435 = 638 / 935 by omitting 4 's
6549 / 7548 = 649 / 748 by omitting 5 's
6549 / 8547 = 649 / 847 by omitting 5 's
6549 / 9546 = 649 / 946 by omitting 5 's
6594 / 7693 = 654 / 763 by omitting 9 's
6594 / 8792 = 654 / 872 by omitting 9 's
6597 / 8796 = 657 / 876 by omitting 9 's
6752 / 8651 = 672 / 861 by omitting 5 's
6842 / 9641 = 682 / 961 by omitting 4 's
6923 / 7912 = 623 / 712 by omitting 9 's
6937 / 7928 = 637 / 728 by omitting 9 's
6951 / 8937 = 651 / 837 by omitting 9 's
6958 / 7952 = 658 / 752 by omitting 9 's
6958 / 8946 = 658 / 846 by omitting 9 's
6972 / 7968 = 672 / 768 by omitting 9 's
6972 / 8964 = 672 / 864 by omitting 9 's
7136 / 9143 = 736 / 943 by omitting 1 's
7168 / 8176 = 768 / 876 by omitting 1 's
7168 / 9184 = 768 / 984 by omitting 1 's
7215 / 8214 = 715 / 814 by omitting 2 's
7215 / 9213 = 715 / 913 by omitting 2 's
7326 / 8325 = 726 / 825 by omitting 3 's
7326 / 9324 = 726 / 924 by omitting 3 's
7348 / 9352 = 748 / 952 by omitting 3 's
7385 / 9284 = 735 / 924 by omitting 8 's
7548 / 8547 = 748 / 847 by omitting 5 's
7548 / 9546 = 748 / 946 by omitting 5 's
7659 / 9657 = 759 / 957 by omitting 6 's
7693 / 8792 = 763 / 872 by omitting 9 's
7952 / 8946 = 752 / 846 by omitting 9 's
7968 / 8964 = 768 / 864 by omitting 9 's
8176 / 9184 = 876 / 984 by omitting 1 's
8214 / 9213 = 814 / 913 by omitting 2 's
8325 / 9324 = 825 / 924 by omitting 3 's
8436 / 9435 = 836 / 935 by omitting 4 's
8547 / 9546 = 847 / 946 by omitting 5 's
8632 / 9628 = 832 / 928 by omitting 6 's
8769 / 9768 = 869 / 968 by omitting 7 's
[K
There are 660 4-digit fractions of which:
14 have 1's omitted
25 have 2's omitted
92 have 3's omitted
14 have 4's omitted
29 have 5's omitted
63 have 6's omitted
16 have 7's omitted
17 have 8's omitted
390 have 9's omitted