Sometimes an arithmetic procedural error produces a correct answer.

An **accidental cancellation **is reducing a fraction by canceling individual digits in the numerator and denominator.

In some cases the result is equal to that obtained by a correct process.

Examples:

**
16/64 = 1**~~6~~/~~6~~4 = 1/4;

26/65 = 2~~6~~/~~6~~5 = 2/5;

266/665 = 2~~66~~/~~66~~5 = 2/5;

4~~9~~/~~9~~8 = 4/8 = 1/2 etc.

Try to find two-digit cases in bases other than base 10,(e.g. 13/32 = 1/2 ( the only solution in base 4).

(In reply to

computer solutions by Charlie)

CH,

Please debug your program,- many irrelevant results.

e.g. in base 10

13/65=1/5 10 ** ok **

15/75=1/5 10 not 1/7

16/32=1/2 10 nothing to cancel

16/64=1/4 10 ** ok**

16/96=1/6 10 not 1/9

17/85=1/5 10 nothing to cancel

19/95=1/5 10 **ok**

26/65=2/5 10 **ok **

27/54=2/4 10 nothing to cancel

38/76=3/6 10 nothing to cancel

39/65=3/5 10 nothing to cancel

49/98=4/8 10 **ok**

**Another example :....** different triviality, that can't come up in base 4 is exemplified by the **decimal 21/42,** where ....

**Should be 1/2 not 1/4**

Your output apparently lists cancellations that not necessarily produce the right answers...

Please check other bases as well.