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Fractions to Decimals

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More Lessons for Arithmetic
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In this lesson, we will look at converting fractions to decimals.

In another lesson, we will look at converting fractions with denominators, that are multiples of 10, into decimals.

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

Fractions Decimals

How to convert a fraction to a decimal?

When we convert a fraction to a decimal, we divide the numerator of the fraction by the denominator.

Example :

Convert to a decimal

Solution:

fraction to decimal

Therefore, = 0.25

 




Example:

Convert to a decimal

Solution:

Therefore, = 1.875

The denominator may not always divide the numerator exactly. In this case, write your answer to the number of decimal places as specified in the question.

Example:

Convert the fraction to a decimal. (Round off your answer to 2 decimal places)

Solution:

Therefore, = 0.71 (round to 2 decimal places)

In this example, the division results in a non-zero remainder. Since we are required to round off to 2 decimal places, we perform the calculation until 3 decimal places and then round off to 2 decimal places.

More examples of converting fractions to decimals. Converting Decimals Into Fractions
Learn how to change any decimal value into its fraction equivalent in lowest terms. Review decimal place values in the process and how to reduce to lowest terms.

When allowed, you can use the calculator to get the decimal. However, for SAT, the College Board recommends that you know the decimal equivalent of the following fractions:

Fraction
Decimal

The bar notation indicates that the 3 and the 6 repeat infinitely, ie: = 0.33333 ...

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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