Chapter 8.8, Problem 71CCR

To determine

The decimal form of the fraction $\frac{1}{5}$ Use a bar to show a repeating decimal.

Answer to Problem 71CCR

  $0.2$

Explanation of Solution

Given:

The fraction: $\frac{1}{5}$

Concept Used:

To convert a fraction into an equivalent decimal, use long division method and divide the numerator by the denominator.

Calculation:

Consider the fraction: $\frac{1}{5}$

In order to write the fraction as a decimal, use long division method and divide the numerator by the denominator as shown below,

  $5\begin{array}{c}\hfill 0.2\\ \hfill \overline{)\begin{array}{l}1.0\\ \underset{\_}{0}\\ 10\\ \underset{\_}{10}\\ 00\end{array}}\end{array}$

Thus, the equivalent decimal for the given fraction is $0.2$ .