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Fractions and Repeating Decimals

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Fractions and Repeating/Recurring Decimals, a selection from the Dr. Math archives.

Fractions, Decimals, Percentages - Dr. Math FAQ
How do you convert fractions to decimals and percentages?

Changing a Repeating Decimal to a Fraction
How do you change 0.75 repeating (0.757575...) to a fraction?

Converting Repeating Decimals to Fractions
I know .333333333333 is 1/3, but what is the trick to it?

Fractions for Repeating Decimals
Convert 3.04050505.... into a fraction.

From Infinite Decimals to Mixed Fractions
Write as a mixed number: (.151515...+.555...)/ (.161616...-.2222...).

Turning a Repeating Decimal into a Fraction
How do I make a decimal like .063490634906... into a fraction?

Converting a Repeating Decimal to a Fraction
Why does this way of converting a recurring decimal to a fraction work?

How can you tell whether a fraction will be a repeating or a terminating decimal?

Which Fractions Repeat?
How do you know whether a fraction will be a repeating or terminating decimal? If repeating, how many decimal places?

Decimals: Terminating or Repeating?
How can you tell just by looking at a fraction whether, in decimal form, it will terminate or repeat?

Fractions with Repeating Decimals
How do you know if a fraction will have a repeating decimal or if it will terminate?

Return to
Elementary Fractions and Decimals
Middle School Fractions and Percentages
Index of Selected Answers to Common Questions

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