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.
Step-by-Step Guide
-
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}. -
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\%}. -
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
Danielle Garcia
Enthusiastic about teaching lifestyle techniques through clear, step-by-step guides.
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