Question

Compare. Write $\text{'}>\text{'},\text{'}<\text{'}or\text{'}=\text{'}$

$\frac{2}{5}\left[\right]\frac{6}{7}$

Answer 1

Compare the given fractions:

To compare the given fractions we cross multiply the fractions, such that numerator of one fraction is multiplied by denominator of other fraction and denominator of other fraction is multiplied by numerator of first fraction.

Therefore,

$2\times 7,6\times 5$

$$\begin{gathered} 2\times 7=14 \\ 6\times 5=30 \end{gathered}$$

Here,$14<30$

Therefore, $\frac{2}{5}<\frac{6}{7}$