Q72. - Algebra 1

Question

Name the reciprocal of each number.

$\frac{\mathbf{6}}{\mathbf{17}}$

Step-by-Step Solution

Answer

The reciprocal of $\frac{6}{17}$ is $\frac{17}{6}$.

Step 1. Write the given information.

The number given is $\frac{6}{17}$

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 $\frac{6}{17}$

$\begin{array}{l}\frac{6}{17}=\frac{1}{\frac{6}{17}}\\ =\frac{1}{6}\times 17\\ =\frac{1\times 17}{6}\\ =\frac{17}{6}\end{array}$