Question

Classify the following as true or false :

When $1$is divided by a fraction, then the quotient is its reciprocal.

• A. True
• B. False

Answer 1

The correct option is A True

Lets take a fraction$\frac{2}{3}$

When $1$ is divided by the fraction we get

$$\begin{gathered} \frac{1}{{\displaystyle \frac{2}{3}}}=1÷\frac{2}{3} \\ =1\times \frac{3}{2}=\frac{3}{2} \end{gathered}$$

Hence, $\frac{3}{2}$ is the reciprocal of the fraction when $1$is divided by the fraction.

So, the above statement is true.