Question

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

Answer 1

$\frac{2}{3} = \frac{2 \times 8}{3 \times 8}=\frac{16}{24} \\ \\ \frac{7}{8}=\frac{7 \times 3}{8 \times 3}=\frac{21}{24} \\ \\ 16$

7/8 is greater.

Answer 2

7/8 is greater because the first step is to make all the fractions equivalent.
 $\frac{21}{24} = \frac{7}{8}$
Now...
 $\frac{16}{24} = \frac{2}{3}$

So 7/8 is greater than 2/3.