Chapter 5.5, Problem 73SR

To determine

To Write: The given mixed fraction $-\frac{5}{11}$ as a decimal.

Answer to Problem 73SR

The required number is $-0.45\overline{45}$ .

Explanation of Solution

Given information:

Fraction $-\frac{5}{11}$

Calculation:

  $11\begin{array}{c}\hfill -0.4545\\ \hfill \overline{)\begin{array}{l}-5.0000\\ \underset{\_}{\text{ 44}}\\ \text{ 60}\\ \underset{\_}{\text{ 55 }}\\ \text{ 50}\\ \underset{\_}{\text{ 44}}\\ \text{ 60}\\ \underset{\_}{55}\\ \text{ 4}\\ \end{array}}\end{array}$

We can the quotient 45 repeats, so it is repeating decimal.

Thus the required decimal form is $-0.45\overline{45}$