Change a Decimal to a Fraction and a Percent

There will be times that you will need to change a decimal to a fraction or percent. If you compare decimals to fractions or percents, you may need to change them.

If you are adding, subtracting, multiplying, and dividing decimals to fractions or percents, you may need to change them. This tutorial demonstrates how to change decimals to fractions and percents.

Change a Decimal to a Fraction


Here are the steps to change a decimal to a fraction.

  1. Write the decimal over 1. The decimal needs to be the numerator and the number one needs to be a denominator.
  2. Multiply the numerator and denominator by a power of 10. Example: if the decimal has one digit to the right of the decimal multiply the numerator and denominator by 10, if the decimal has two digits to the right of the decimal then multiply by 100, if the decimal has three digits to the right of decimal then multiply by 1000, and so on.
  3. Simplify the resulting fraction.

Change a Decimal to a Fraction (example)


Here is an example of changing a decimal to a fraction.

convert decimal to fraction

 

Change a Decimal to a Percent


There are 2 methods for changing decimals to percents.

  1. Multiply the decimal by 100, and put a percent sign (%) to the right of the number.
  2. OR, move the decimal point 2 places to the right (this is still multiplying by 100) and put a percent sign (%) to the right of the number.

Change a Decimal to a Percent (example)


Here is an example of changing a decimal to a percent by multiplying by 100.

convert decimal to percent

Here is an example of changing a decimal to a percent by moving the decimal to places to the right.

Convert decimal to percent

Watch a Video Tutorial


Here is a video tutorial on changing a decimal to a fraction.

Here is a video on changing a decimal to a percent

Interactive Class on this Topic


Take an interactive middle school math class on this material, click here

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