Question

How to work out what is the larger 7/8 - 8/9

Answer 1

8/9 is the larger. 8/9 - 7/8 =  64 /72 - 63/72 = 1/72.

Answer 2

[
`(7)/(8)=(7\cdot9)/(8\cdot9)=(63)/(72)\\\\(8)/(9)=(8\cdot8)/(9\cdot8)=(64)/(72)\\\\(63)/(72) < (64)/(72)\to(7)/(8) < (8)/(9)`