Question #8f0bd

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Answer 1 · 2018-02-11T16:00:51

It doesn't?

#13/30 = 0.4333#

#2/7 = 0.285714#

Answer 2 · 2018-02-11T16:02:38

Only with integer division
in which case #13/30=0# and #2/7=0#

Assuming the numbers are base 10
#2/7=0.bar(285714)# and #13/30=0.4bar3#

So they are obviously not equal for base 10 with rational (#RR#) values.

With a bit of manipulation it can be demonstrated that the two ratios are not equal for any positive base.