Compare the given fraction and replace $' □'$ by an appropriate sign $' < or >'$
$\frac{4}{7} □ \frac{4}{9}$

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Solution

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 $\frac{4}{9}$ .

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