# Converting between Fractions and Decimals

Fractions and decimals are widely used in business and everyday life. They represent parts of a whole just as percent does. A fraction is one or more of the equal parts into which a whole is divided while a decimal is a tenth part, which refers to a decimal numeral system which has ten as its base.

To change a fraction to a decimal, we simply divide the numerator by the denominator. The result would be a terminating decimal, repeating decimal, or non-terminating decimal.

**Examples:**

1. since 2 divided by 5 is 0.4

2. since 1 divided by 3 is 0.333...

To change a terminating decimal, rewrite the decimals as decimal fractions and reduce to lowest terms. (A **decimal fraction** is a fraction whose denominator can be expressed as a power of 10.)

**Examples:**

1.

2.

To change a repeating decimal to a fraction, represent each repeating digit by 9 and each non-repeating digit by 0 in the denominator. The numerator is the difference between the number formed by the decimal digits and the number formed by the digits that do not repeat.

**Examples:**

1.

2.

## Converting between Fractions and Decimals Worksheets

- Converting between Fractions and Decimals Worksheets (20 FREE RESPONSE items with answers)
- Converting between Fractions and Decimals Worksheets (20 MULTIPLE CHOICE items with answers)
- Converting between Fractions and Decimals Worksheets (30 FREE RESPONSE items with answers)
- Converting between Fractions and Decimals Worksheets (30 MULTIPLE CHOICE items with answers)
- Converting between Fractions and Decimals Worksheets (40 FREE RESPONSE items with answers)
- Converting between Fractions and Decimals Worksheets (40 MULTIPLE CHOICE items with answers)

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