Chapter 3.1, Problem 2AGP

To determine

ToWriteThe fraction $-\frac{5}{6}$ as decimals.

Answer to Problem 2AGP

The decimal form of $-\frac{5}{6}$ is $-0.8\overline{3}$

Explanation of Solution

Given:

The fraction $-\frac{5}{6}$

Concept Used:

A fraction can be converted into decimal form by dividing numerator of the fraction with its denominator.

Calculation:

Given the fraction $-\frac{5}{6}$

Dividing numerator with denominator, we have

i.e., $6\begin{array}{c}\hfill 0.833\\ \hfill \overline{)\begin{array}{l}5\\ \underset{\_}{0}\\ 50\\ \underset{\_}{48}\\ 20\\ \underset{\_}{\text{18}}\\ 20\\ \underset{\_}{\text{18}}\\ \text{ 2 }\end{array}}\end{array}$

Thus, $-\frac{5}{6}=-0.833\text{. }\text{. }\text{.}$

The repeating decimal can be written as $-\frac{5}{6}=-0.8\overline{3}$

Therefore, the decimal form of $-\frac{5}{6}$ is $-0.8\overline{3}$

Conclusion:

Thedecimal form of $-\frac{5}{6}$ is $-0.8\overline{3}$