# Comparing Fractions

To compare two fractions, rewrite them with a common denominator . Then compare the numerators .

Example:

Which is greater, $\frac{4}{7}$ or $\frac{7}{11}$ ?

Find a common denominator. $7\left(11\right)=77$ works.

$\begin{array}{l}\frac{4}{7}=\frac{4\cdot 11}{7\cdot 11}=\frac{44}{77}\\ \frac{7}{11}=\frac{7\cdot 7}{11\cdot 7}=\frac{49}{77}\end{array}$

Now, since $49>44$ , we can clearly see that

$\frac{7}{11}>\frac{4}{7}$