Question

Express the following percent as a fraction or mixed number in the simplest form.

60%

Short answer

The simplest form of 60% is $\frac{3}{5}$.

Step-by-step solution

Step 1. Concept of percentage.

Percent of a number is defined as the ratio of the number and 100.

Step 2. Find the percent of given numbers.

$60\%=\frac{60}{100} \left[\mathrm{Bydefinitionofpercent}\right]$

Step 3. Evaluate the expression.

Write Numerator and denominator in factored form and then cancel out the common factor.

$$\begin{gathered} 60\%=\frac{60}{100} \\ =\frac{2·3·10}{2·5·10} \left[\mathrm{divideN}\&\mathrm{Dbycommonfactor}10\right] \\ =\frac{2·3·\frac{10}{10}}{2·5·\frac{10}{10}} \\ =\frac{2·3}{2·5} \left[\mathrm{divideN}\&\mathrm{Dbycommonfactor}2\right] \\ =\frac{\frac{2}{2}·3}{\frac{2}{2}·5} \\ =\frac{1·3}{1·5} \\ =\frac{3}{5} \end{gathered}$$