Chapter 7.1, Problem 30PPS

To determine

To find: the fraction $\frac{1}{60}$ as percentage.

Answer to Problem 30PPS

The percentage is $1.67\%$ .

Explanation of Solution

Given:

The fraction is $\frac{1}{60}$ .

Calculation:

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

Convert the fraction into decimal as follows:

  $60\begin{array}{c}\hfill 0.0166\\ \hfill \overline{)\begin{array}{l}\underset{\_}{\begin{array}{l}100\\ 60\end{array}}\\ \underset{\_}{\begin{array}{l}400\\ 360\end{array}}\\ \underset{\_}{\begin{array}{l}0400\\ 0360\end{array}}\\ 0040\end{array}}\end{array}$

Multiply by 100 for percentage as follows:

  $\begin{array}{c}P=0.01666\times 100\\ =1.666\%\end{array}$

Approximate the percentage to the hundredth places as follows:

  $\approx 1.67\%$

Thus, the percentage is $1.67\%$ .