Question

Reciprocal of $2\frac{1}{3}$ is

• A. $\frac{7}{3}$
• B. $-\frac{7}{3}$
• C. $-\frac{3}{7}$
• D. $\frac{3}{7}$

Answer 1

Answer: (D)

$\frac{3}{7}$

We first rewrite the given mixed fraction $2\frac{1}{3}$ as $\frac{7}{3}$.

We know that the reciprocal of a number is $1$ divided by that number. For example, the reciprocal of $a$ is $\frac{1}{a}$

Now, we find the reciprocal of $\frac{7}{3}$ as follows:

$\frac{1}{\frac{7}{3}}=\frac{3}{7}\{\because \frac{1}{\frac{1}{x}}=\frac{x}{1}\}$

Hence, the reciprocal of $2\frac{1}{3}$ is $\frac{3}{7}$