Ask Dr. Math 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?