Question

Replace $\text{'}\square \text{'}$by an appropriate sign $\text{'}<,=\mathrm{or}>\text{'}$ between the given fractions:

$\frac{3}{4}\square \frac{2}{8}$

Answer 1

Write the given fraction as equivalent like fractions

$\frac{3}{4}=\frac{3\times 8}{4\times 8}=\frac{24}{32}$

$\frac{2}{8}=\frac{2\times 4}{8\times 4}=\frac{8}{32}$

The denominator in both fractions is the same.

The fraction having a large numerator will be greater.

$\frac{24}{32}>\frac{8}{32}$

$\frac{3}{4}>\frac{2}{8}$

Hence,$\frac{3}{4}$ is greater than $\frac{2}{8}$.