Convert Decimal to Fraction

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Welcome to the Math Salamanders Convert Decimal to Fraction support page. Here you will find information and support about how to convert a decimal number into a fraction.

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How to Convert a Decimal into a Fraction

Here you will find some simple information and advice about how to convert a decimal to a fraction.

Before you learn how to do this, you should also know how to simplify fractions.

At the bottom of this page you will also find a printable resource sheet and some practice sheets which will help you understand and practice this math skill.

Decimal to Fraction Calculator

If you want to convert a decimal into a fraction, please use this link to our decimal to fraction calculator.

The calculator will convert any decimal to a decimal fraction, and also display the fraction in simplest form.

Using the calculator is a great way of self-checking your work to help you with your decimal and fraction learning.

Converting Decimals to Fractions

To convert a decimal to a fraction, you need to follow the 3 or 4 steps below:
  • Step 1) Count the number of decimal places the decimal has.
  • Step 2) Put a 1 and the number of zeros that there are decimal places for the denominator of the fraction. If you have 2 decimal places, the denominator would be 100. If you have 4 decimal places, the denominator would be 10000.
  • Step 3) The decimal digits now become the numerator.
  • Step 4) Optional - you can reduce this fraction to its simplest form.

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Converting Decimals to Fractions Video

This short video clip shows how to convert a decimal into a fraction.

Examples

Example 1) 0.815

The number of decimal places is 3. The denominator will be 1000. The numerator will be 815.

The fraction will be    815  1000

To find the simplest form divide the numerator and denominator by 5.

  815 ÷ 5 1000 ÷ 5 =   163 200

Example 2) 2.36

The number of decimal places is 2. The denominator will be 100. The numerator will be 36.

The fraction will be   2   36  100   or   236 100

To find the simplest form, divide the numerator and denominator by 4

  2  36 ÷ 4 100 ÷ 4 =   2  25 or    236 ÷ 4 100 ÷ 4=   59 25

Convert Decimal to Fraction printable sheet

Here is a printable version of the support sheet.

Changing Decimal to Fraction Practice

Here you will find two printable sheets where you can practice your math skills at converting decimals to fractions.

Converting Fractions to Decimals

Here you will find some simple information and advice about how to convert a fraction to a decimal.

You will also find a printable resource sheet which explains about how to convert fractions to decimals in a little more detail.

All the free Math sheets in this section follow the Elementary Math Benchmarks for Grades 4 and 5.
 

 

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