Compare the given fraction and replace $' □'$ by an appropriate sign $' < or >'$
$\frac{2}{7} □ \frac{2}{5}$

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Solution

Write the given fraction as equivalent like fractions
$\frac{2}{7} = \frac{2 \times 5}{7 \times 5} = \frac{10}{35}$
$\frac{2}{5} = \frac{2 \times 7}{5 \times 7} = \frac{14}{35}$
The denominator in both fractions is the same.
The fraction having a large numerator will be greater.
$\frac{14}{35}$ is greater than $\frac{10}{35}$ .
$\frac{2}{7} < \frac{2}{5}$
Hence, $\frac{2}{5}$ is greater than $\frac{2}{7}$ .

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Compare the given fraction and replace '□'by an appropriate sign '<or>'27□25

Write the given fraction as equivalent like fractions27=2×57×5=103525=2×75×7=1435The denominator in both fractions is the same.The fraction having a large numerator will be greater. 1435 is greater than 1035.27<25Hence,25 is greater than27.

Compare the given fraction and replace $' □'$ by an appropriate sign $' < or >'$
$\frac{2}{7} □ \frac{2}{5}$