Question

Compare the fractions.
$\frac{4}{5}$$\frac{6}{7}$

• A. $<$
• B. $>$
• C. $=$

Answer 1

The correct option is A $<$

The LCM of the denominators 5 and 7, of the given fractions is 35.
Now, we find equivalent fractions of $\frac{4}{5}$ and $\frac{6}{7}$ with denominator equal to 35.
Thus, $\frac{4\times 7}{5\times 7}=\frac{28}{35}$ and $\frac{6\times 5}{7\times 5}=\frac{30}{35}$.
Now since $28<30$, we have $\frac{28}{35}<\frac{30}{35}$
i.e., $\frac{4}{5}<\frac{6}{7}$