Chapter 6.9, Problem 28S

To determine

To write: The fraction $\frac{8}{12}$ as a decimal.

Answer to Problem 28S

Fraction $\frac{8}{12}=0.666\dots \mathrm{..}$

Explanation of Solution

Given information: A fraction $\frac{8}{12}$ .

Concept used:

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

Calculation:

8 is divided by 12 as:

  $12\begin{array}{c}\hfill 0.6666\\ \hfill \overline{)\begin{array}{l}8.000\\ \frac{0}{\begin{array}{l}80\\ \frac{-72}{\begin{array}{l}80\\ \frac{-72}{8}\end{array}}\end{array}}\end{array}}\end{array}$

Therefore, equivalent decimal form of $\frac{8}{12}$ is $0.666\dots \mathrm{..}$ , that is a non-terminating but repeating decimal number.