Chapter 7.1, Problem 32PPS

To determine

To find: the fraction $\frac{6}{13}$ as percentage.

Answer to Problem 32PPS

The percentage is $46.15\%$ .

Explanation of Solution

Given:

The fraction is $\frac{6}{13}$ .

Calculation:

Convert the fraction in decimal by division and then multiply by 100 for percentage.

Convert the fraction into decimal as follows:

  $13\begin{array}{c}\hfill 0.46153\\ \hfill \overline{)\begin{array}{l}\underset{\_}{\begin{array}{l}60\\ 52\end{array}}\\ \underset{\_}{\begin{array}{l}80\\ 78\end{array}}\\ \underset{\_}{\begin{array}{l}020\\ 013\end{array}}\\ \underset{\_}{\begin{array}{l}0070\\ 0065\end{array}}\\ \underset{\_}{\begin{array}{l}00050\\ 00039\end{array}}\\ 00011\end{array}}\end{array}$

Multiply by 100 for percentage as follows:

  $\begin{array}{c}P=0.46153\times 100\\ =46.153\%\end{array}$

Approximate the percentage to the hundredth places as follows:

  $\approx 46.15\%$

Thus, the percentage is $46.15\%$ .