Question

The reciprocal of $\frac{2}{7}\times \frac{1}{5}$ is _____.

• A. $\frac{35}{2}$
• B. $\frac{10}{3}$
• C. $-\frac{35}{2}$
• D. $\frac{2}{35}$

Answer 1

The correct option is A $\frac{35}{2}$

Simplifying the expression,

$\frac{2}{7}\times \frac{1}{5}=\frac{2}{35}$

Reciprocal of a number is defined as one divided by the number itself.

$\therefore \text{The reciprocal of}\frac{2}{35}=\frac{1}{\left(\frac{2}{35}\right)}=\frac{35}{2}$