Q73. - Algebra 2

Question

Find the reciprocal of each number.

73. $\frac{1}{2}$

Step-by-Step Solution

Answer

The reciprocal of the $\frac{1}{2}$ is $2$.

Step 1- Given information

We have, a number $\frac{1}{2}$.

To find the reciprocal of the given number

Step 2- concept used

The reciprocal or multiplicative inverse of a number $x$ is the number which, when multiplied by $x$ then gives $1$.

Such that    $x\times \frac{1}{x}=1$

Thus, $x$ is the reciprocal of $\frac{1}{x}$and $\frac{1}{x}$is the reciprocal of $x$.

Step 3- To find the reciprocal

Let the reciprocal of the given number $\frac{1}{2}$ is$=x.$

So,

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

Hence, the reciprocal of the $\frac{1}{2}$ is $2$.