Question

The product of two numbers is 1. If one number is $\frac{2}{3}$, then the other number is _________.

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

Answer 1

The correct option is D

$\frac{3}{2}$

Given that

The product of two numbers = 1

One of the numbers = $\frac{2}{3}$
The product of any fraction with its multiplicative inverse is always equal to 1.

Multiplicative inverse of $\frac{2}{3}$ is $\frac{3}{2}$

$\Rightarrow$ $\frac{2}{3}\times \frac{3}{2}$ = 1
$\therefore$ The other number is = $\frac{3}{2}$