How to Compare Fractions

To compare fractions, you need to compare pieces of the same size.

Worked examples

$\frac{3}{4} = \frac{6}{8}$

Since $6 > 5$ , $\frac{3}{4} > \frac{5}{8}$ .

$\frac{2}{3} = \frac{10}{15}$ and $\frac{3}{5} = \frac{9}{15}$

Since $10 > 9$ , $\frac{2}{3} > \frac{3}{5}$ .

$\frac{1}{8} > \frac{1}{4}$ because 8 is bigger than 4.

A bigger denominator cuts the whole into more pieces, so each piece is smaller. $\frac{1}{4}$ is actually larger.

Compare $\frac{3}{8}$ and $\frac{1}{2}$ .
Show answer
$\frac{3}{8} < \frac{1}{2}$
Compare $\frac{5}{6}$ and $\frac{7}{9}$ .
Show answer
$\frac{5}{6} > \frac{7}{9}$
Compare $\frac{4}{5}$ and $\frac{7}{10}$ .
Show answer
$\frac{4}{5} > \frac{7}{10}$

Book a free consultation, and we'll help you make a plan.