Chapter 3.2, Problem 66SR

To determine

To find: The decimal form of the fraction $\frac{1}{6}$ .

Answer to Problem 66SR

The decimal form of the fraction $\frac{1}{6}$ is $0.1\overline{6}$ .

Explanation of Solution

Given:

The fraction is $\frac{1}{6}$ .

Calculation:

The decimal form of $\frac{1}{6}$ is calculated as follows:

  $6\begin{array}{c}\hfill 0.1666\dots \\ \hfill \overline{)\begin{array}{l}1.000\\ -\underset{\_}{06}\\ 40\\ -\underset{\_}{36}\\ 40\\ -\underset{\_}{36}\\ 40\\ -\underset{\_}{36}\\ 4\end{array}}\end{array}$

Thus, the decimal form of the fraction $\frac{1}{6}$ is $0.1\overline{6}$ .