Fractions to Decimals using Long Division 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 decimals using long division.

How to convert fractions to decimals using long division?

When converting fractions to decimals, we need to divide the numerator by the denominator. However, depending on the denominator, it may be possible to find the decimal using some shortcuts (see above links). If the shortcuts are not suitable or not preferred then we can use long division to convert a fraction to a decimal.

You can follow these steps, to convert fractions to 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 by rounding.
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 decimals using long division.

• Converting fractions to decimals using long division

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

 

More Convert Fractions to Decimals Worksheets

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

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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