# Fractions and Decimals

Fractions and decimals are related to each other. Let's see how.

*Example 1:*

| *Convert * | __3__ 4 | * to a decimal number.* |

Change the fraction to a **decimal fraction**.

A decimal fraction is a fraction in which the denominator is a number related to 10.

*Example:* 10, 100, 1000, 10000; it's basically 1 followed by any number of zeroes.

The fraction | __3__ 4 | is equal to the decimal number 0.75. |

*Example 2:*

| *Change 0.75 to a fraction.* |

Since there are 2 places after the decimal point in the numerator, we put 2 zeroes after the decimal point in the denominator.

Drop the decimal points by multiplying both numerator and denominator by 100.

Simplify either using GCF of 75 and 100 which is 25; or using division by common factors.

The decimal number 0.75 is equal to the fraction | __3__ 4 | . |

*Example 3:*

| *Change 2.625 to a fraction.* |

Split the number into its whole number part and the decimal part.

Drop the decimal point.

= | 2 + | __ __~~625~~^{125}^{5}
~~1000~~^{200}^{8} |

Simplify either using division by common factors; or using GCF of 625 and 1000 which is 125.

The decimal number 2.625 is equal to the fraction 2 | __5__ 8 | . |