Question

Which is greater $\frac{4}{5}$ or $\frac{5}{7}?$

Answer 1

First of all we have to find the LCM of $5$ and $7$ which is $35.$

now, find the equivalent fraction of both numbers with denominator $35.$

For first fraction, $5\times 7=35$

$$\begin{gathered} \frac{4}{5}\Rightarrow \frac{4\times 7}{5\times 7} \\ \Rightarrow \frac{28}{35} \end{gathered}$$

Likewise, for the second fraction, $7\times 5=35$

$$\begin{gathered} \frac{5}{7}\Rightarrow \frac{5\times 5}{7\times 5} \\ \Rightarrow \frac{25}{35} \end{gathered}$$

Here denominator of both the fraction is same. So, the fraction which has larger numerator will be the larger fraction.

$\frac{28}{35}>\frac{25}{35}$ or

$\frac{4}{5}>\frac{5}{7}$

Hence, $\frac{4}{5}$is the larger fraction than $\frac{5}{7}.$