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Chapter 9 · Questions · page 49 of 68

How do you turn a fraction into a percent?

Short answerDivide the top by the bottom to get a decimal, then multiply by 100. 3/8 is 0.375, which is 37.5%.

levelPre-algebra
standard6.RP.A.3c
practiceDecimals and percents

A percent is a fraction out of 100. When the denominator divides 100, scale the fraction up so the bottom is 100 and read the top. When it does not, divide and move the decimal point two places right.

How to use it

  1. If the bottom divides 100, multiply top and bottom so the bottom is 100. The top is the percent.
  2. Otherwise divide the top by the bottom.
  3. Multiply the decimal by 100.

Example

34=75100=75%\frac{3}{4} = \frac{75}{100} = 75\%
38=3÷8=0.375\frac{3}{8} = 3 \div 8 = 0.375
0.375×100=37.50.375 \times 100 = 37.5

Where it goes wrong

  • Stopping at the decimal: 0.375 is not 0.375%.
  • Dividing the bottom by the top.

Related

Percent means per hundredWhat a fraction is
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