Chapter 11.2, Problem 13WE

To determine

To find: The rational number as the terminating or repeating decimal.

Answer to Problem 13WE

The decimal form of the rational number is $0.\overline{27}$ .

Explanation of Solution

Given information:

The given fraction is,

  $\frac{3}{11}$

Concept used:

If the remainder of the division is zero, the decimal form of the fraction is called a terminating.

The given fraction can be written as,

  $\frac{3}{11}=11\begin{array}{c}\hfill 0.2727\\ \hfill \overline{)\begin{array}{l}30\\ \underset{\_}{-22}\\ 080\\ \underset{\_}{-77}\\ 030\\ \underset{\_}{-22}\\ 080\\ \underset{\_}{-77}\\ 030\end{array}}\end{array}$

Thus, the decimal form of the rational number is $0.\overline{27}$ .