Question

If the reciprocal of a number is 3 times $\frac{2}{3}$, what is the number?

• A. $\frac{2}{3}$
• B. $\frac{2}{9}$
• C. $\frac{1}{2}$
• D. 2

Answer 1

The correct option is C

$\frac{1}{2}$

Let X be the number,

reciprocal of X = $\frac{1}{X}$

reciprocal is 3 times $\frac{2}{3}$ ie. $\frac{1}{X}=3\times \frac{2}{3}$

$\frac{1}{X}=2$

$X=\frac{1}{2}$

The number is $\frac{1}{2}$