Decimals to Fractions

In these lessons, we will learn how to convert decimals to fractions.

The following diagram gives some examples of converting decimals to fractions. Scroll down the page for more examples and solutions. 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.

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

Example:
Convert 3.12 to a fraction

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

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.

Example:
Convert the following decimals to fractions
0.8
0.15
0.725

Decimal to simplified fraction
Here’s an example of how we convert a decimal to a simplified fraction.

Example:
Write 2.75 as a simplified fraction.

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