Chapter 7, Problem 2MCQ

To determine

To write: the fraction $\frac{1}{5}$ as a percent.

Answer to Problem 2MCQ

The fraction $\frac{1}{5}$ as a percent is $20\%$ .

Explanation of Solution

Given information:

The provided fraction is $\frac{1}{5}$ .

Calculation :

Fraction, percent and a decimal, can represent the same number. To write a fraction as a percent, you have to write the fraction as a decimal first.

To evaluate the given question, follow the steps below:

Write the fraction $\frac{1}{5}$ as a decimal:

  $\begin{array}{l}5\begin{array}{c}\hfill 0.2\\ \hfill \overline{)\begin{array}{l}10\\ \underset{\_}{-10}\end{array}}\end{array}\\ \text{ 0}\end{array}$

To evaluate the given fraction as a percent,

  $\begin{array}{l}\frac{1}{5}=0.2\text{ [Write the fraction as a decimal]}\\ =20\%\left[\begin{array}{l}\text{Write the decimal as a percent by}\\ \text{moving the decimal point two places}\\ \text{to the right }\end{array}\right]\end{array}$

Hence, the fraction $\frac{1}{5}$ as a percent is written as $20\%$ .