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Converting Repeating Decimals

Some decimals, such as 0.5 and 0.3125, terminate. They have a limited number of digits. Other decimals, such as 0.3333…and 0.181818…, have a repeating pattern of digits that never ends.

Terminating or repeating decimals are called rational numbers because they can be expressed as ratios of integers; better known as they can be written as fractions.

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Writing Repeating Decimals as an Equivalent Fraction

1. Write [pic] as an equivalent fraction. 2. Write [pic] as an equivalent fraction.

3. Write [pic] as an equivalent fraction. 4. Write [pic] as an equivalent fraction.

5. Write [pic] as an equivalent fraction. 6. Write [pic] as an equivalent fraction.

Examples 7 – 15: Write the fractions as their decimal equivalent.

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[pic] [pic] [pic]

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Spiral – Writing an Equivalent Fraction

Write [pic] as an equivalent fraction.

Write [pic] as an equivalent fraction.

Here are some decimals. Write them as their fractional equivalent:

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[pic] [pic] [pic]

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