How to Convert an Improper Fraction to Percent

Use a calculator to divide the numerator by the denominator., Multiply the decimal by 100., Add a percent sign.

3 Steps 1 min read Easy

Step-by-Step Guide

  1. Step 1: Use a calculator to divide the numerator by the denominator.

    The numerator is the top number, and the denominator is the bottom number.

    It is best to use a calculator, because depending on the fraction, you might end up with a number that has many decimal places.

    Completing this calculation converts the fraction to a decimal.

    Note that, because you have an improper fraction, the denominator will divide into the numerator at least 1 whole time.

    That means that your decimal will be greater than
    1.

    It also means that your percent will be greater than 100%.

    For example, if you are converting 138{\displaystyle {\frac {13}{8}}}, you would calculate 13÷8=1.625{\displaystyle 13\div 8=1.625}.
  2. Step 2: Multiply the decimal by 100.

    You can do this with a calculator, but an easy way to do this in your head is to simply move the decimal point two places to the right.For example,
    1.625×100=162.5{\displaystyle
    1.625\times 100=162.5}. , Until you add a percent sign, your number still reads like a decimal, even though it no longer is.

    So, add your percent sign to avoid confusion.

    The percent sign comes after the number.

    For example,
    162.5%{\displaystyle
    162.5\%}.
  3. Step 3: Add a percent sign.

Detailed Guide

The numerator is the top number, and the denominator is the bottom number.

It is best to use a calculator, because depending on the fraction, you might end up with a number that has many decimal places.

Completing this calculation converts the fraction to a decimal.

Note that, because you have an improper fraction, the denominator will divide into the numerator at least 1 whole time.

That means that your decimal will be greater than
1.

It also means that your percent will be greater than 100%.

For example, if you are converting 138{\displaystyle {\frac {13}{8}}}, you would calculate 13÷8=1.625{\displaystyle 13\div 8=1.625}.

You can do this with a calculator, but an easy way to do this in your head is to simply move the decimal point two places to the right.For example,
1.625×100=162.5{\displaystyle
1.625\times 100=162.5}. , Until you add a percent sign, your number still reads like a decimal, even though it no longer is.

So, add your percent sign to avoid confusion.

The percent sign comes after the number.

For example,
162.5%{\displaystyle
162.5\%}.

About the Author

D

Danielle Garcia

Enthusiastic about teaching lifestyle techniques through clear, step-by-step guides.

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