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Decimals to Fractions

Related Topics:
More Lessons for Arithmetic, Math Worksheets

We can convert a decimal to a fraction using these steps:

Step 1 : For the numerator, write all the digits in the decimal number without the decimal point.

Step 2 : The denominator is a multiple of 10. The number of zeros is the number of decimal places on the right of the decimal point.

Step 3 : Simplify the fraction to the lowest terms whenever possible.

Example :

Convert 0.6 and 0.09 to fractions.


Digits on the right of the decimal point form the numerator of the fraction.


Convert 3.12 to a fraction


Digits on the left of the decimal point form the whole number of the mixed number.

The following video shows how to change any decimal value into its fraction equivalent in lowest terms. It also reviews decimal place values in the process and how to reduce to lowest terms.
Decimal to simplified fraction
Here's an example of how we convert a decimal to a simplified fraction.


Rotate to landscape screen format on a mobile phone or small tablet to use the Mathway widget, a free math problem solver that answers your questions with step-by-step explanations.

You can use the free Mathway calculator and problem solver below to practice Algebra or other math topics. Try the given examples, or type in your own problem and check your answer with the step-by-step explanations.

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