Q73. - Algebra 1

Question

Name the reciprocal of each number.

$\frac{\mathbf{2}}{\mathbf{23}}$

Step-by-Step Solution

Answer

The reciprocal of $\frac{2}{23}$ is $\frac{23}{2}$

Step 1. Write the given information.

The number given is $\frac{2}{23}$

Step 2. Formula used.

The reciprocal of a number $a$ is $\frac{1}{a}$ and that of $\frac{a}{b}$ is $\frac{b}{a}$.

Step 3. Description of the step.

To find the reciprocal of $\frac{2}{23}$

$\begin{array}{l}\frac{2}{23}=\frac{1}{\frac{2}{23}}\\ =\frac{1}{2}\times 23\\ =\frac{1\times 23}{2}\\ =\frac{23}{2}\end{array}$