Chapter 6.9, Problem 26S

To determine

To write: The fraction $\frac{5}{8}$ as a decimal.

Answer to Problem 26S

Fraction $\frac{5}{8}=0.625$

Explanation of Solution

Given information: 

A fraction is $\frac{5}{8}$ .

Concept used:

It is used long division method here to get the required decimal form of given fraction.

Calculation:

5 is divided by 8 as:

  $8\begin{array}{c}\hfill 0.625\\ \hfill \overline{)\begin{array}{l}5.000\\ \frac{0}{\begin{array}{l}50\\ \frac{-48}{\begin{array}{l}20\\ \frac{-16}{\begin{array}{l}40\\ \frac{-40}{0}\end{array}}\end{array}}\end{array}}\end{array}}\end{array}$

Therefore, equivalent decimal form of $\frac{5}{8}$ is 0.625 that is a terminating decimal.