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.

Table of Contents

## Change a Decimal to a Fraction

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

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

## Change a Decimal to a Fraction (example)

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

## Change a Decimal to a Percent

There are 2 methods for changing decimals to percents.

- Multiply the decimal by 100, and put a percent sign (%) to the right of the number.
- 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.

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

## 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