Fractions to Repeating Decimals Worksheets

There are five sets of converting fractions to decimals worksheets.
Convert Fractions to Decimals (denominator 10, 100, or 1000)
Convert Mixed Numbers to Decimals (denominator 10, 100, or 1000)

Convert Fractions to Decimals (use equivalent fractions)
Convert Fractions to Decimals (use long division)
Convert Fractions to Repeating Decimals (recurring decimals)

Free math worksheets to help Grade 6 students learn how to convert fractions to repeating decimals. Repeating decimals are also called recurring decimals.

How to convert fractions to repeating decimals?

When converting fractions to decimals, we need to divide the numerator by the denominator.

You can follow these steps, to convert fractions to repeating decimals using long division:

1. Perform long division by dividing the numerator (dividend) by the denominator (divisor).
2. Continue the division process until either the division terminates (remainder becomes zero) or you obtain the desired level of decimal accuracy.
3. If the division does not terminate and there is a remainder, continue the long division process until you observe a repeating pattern. Place a bar (or dots) over the repeating digits to indicate the repeating decimal.

Have a look at this video if you need to review how to convert fractions to repeating decimals using long division.

• Converting fractions to repeating decimals using long division

However, there is a shortcut when converting a fraction with denominator of 9, 99, 999. If the denominator is 9, 99, or 999 then the converted decimal will be a repeating decimal. If the denominator is factor of 9, 99, or 999, you could change it to an equivalent fraction with a denominator of 9, 99, or 999 and then use this shortcut method.

Have a look at this video if you need to review how to convert fractions to repeating decimals using a shortcut.

• How to Convert Fractions to Recurring Decimals

Click on the following worksheet to get a printable pdf document.
Scroll down the page for more Convert fractions to repeating decimals Worksheets.

 

More Convert Fractions to Decimals Worksheets

Printable
(Answers on the second page.)
Fractions to Repeating Decimals Worksheet

Online
Fractions to Decimals (denominators 10, 100, 1000)
Mixed Numbers to Decimals (denominators 10, 100, 1000)
Fractions to Decimals using division

Related Lessons & Worksheets

Convert Fractions to Decimals Lesson

More Printable Worksheets

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