Chapter 6.9, Problem 27S

To determine

To write: The fraction $\frac{7}{12}$ as a decimal.

Answer to Problem 27S

Fraction $\frac{7}{12}=\mathrm{0.58333....}$

Explanation of Solution

Given information: A fraction $\frac{7}{12}$ .

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

Calculation: 7 is divided by 12 as:

  $12\begin{array}{c}\hfill 0.5833\\ \hfill \overline{)\begin{array}{l}7.0000\\ \frac{0}{\begin{array}{l}70\\ \frac{-60}{\frac{\begin{array}{l}100\\ -96\end{array}}{\begin{array}{l}40\\ \frac{-36}{\begin{array}{l}40\\ \frac{-36}{4}\end{array}}\end{array}}}\end{array}}\end{array}}\end{array}$

Therefore, equivalent decimal form of $\frac{7}{12}$ is $\mathrm{0.58333....}$