# Decimals and Fractions

## Convert Fractions to Decimals

In Decimals, we learned to convert decimals to fractions. Now we will do the reverse-convert fractions to decimals. Remember that the fraction bar indicates division. So can be written or . This means that we can convert a fraction to a decimal by treating it as a division problem.

#### CONVERT A FRACTION TO A DECIMAL

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

#### EXAMPLE 5.28

Write the fraction as a decimal.

Solution

A fraction bar means division, so we can write the fraction using division. | |

Divide. | |

So the fraction is equal to . |

#### EXAMPLE 5.29

Write the fraction as a decimal.

##### Solution

Source: Rice University, https://openstax.org/books/prealgebra/pages/5-3-decimals-and-fractions

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