Question

Compare the given fraction and replace $\text{'}\square \text{'}$by an appropriate sign $\text{'}<\mathrm{or}>\text{'}$

$\frac{4}{7}\square \frac{4}{9}$

Answer 1

Write the given fraction as equivalent like fractions

$\frac{4}{7}=\frac{4\times 9}{7\times 9}=\frac{36}{63}$

$\frac{4}{9}=\frac{4\times 7}{9\times 7}=\frac{28}{63}$

The denominator in both fractions is the same.

The fraction having a large numerator will be greater.

$\frac{36}{63}$ is greater than $\frac{28}{63}$.

$\frac{4}{7}>\frac{4}{9}$

Hence,$\frac{4}{7}$ is greater than$\frac{4}{9}$.