Question

Reciprocal of $\frac{7}{5}$ is

• A. $1\frac{2}{5}$
• B. $\frac{5}{7}$
• C. $5\frac{2}{3}$
• D. $\frac{12}{5}$

Answer 1

The correct option is B $\frac{5}{7}$

We know that the reciprocal of any number $n$ is $\frac{1}{n}$. When we multiply a number by its reciprocal, we get $1$ as the answer. For example: $n\times \frac{1}{n}=1$

Therefore, the reciprocal of the given fraction $\frac{7}{5}$ is as follows:

$\frac{1}{\frac{7}{5}}=\frac{5}{7}\{\because \frac{1}{\frac{1}{x}}=\frac{x}{1}\}$

Hence, the reciprocal of $\frac{7}{5}$ is $\frac{5}{7}$.