Question

What is greater, 2/3 or 7/8?

Answer 1

7/8 is greater because the first step is to make all the fractions equivalent.

`(21)/(24) = (7)/(8)`
Now...

`(16)/(24) = (2)/(3)`

So 7/8 is greater than 2/3.

Answer 2

`(2)/(3) = (2 * 8)/(3 * 8)=(16)/(24) \\ \\ (7)/(8)=(7 * 3)/(8 * 3)=(21)/(24) \\ \\ 16<21 \Rightarrow (16)/(24) < (21)/(24) \Rightarrow (2)/(3)<(7)/(8)`

7/8 is greater.