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Grade 7 math · M.19 · Operations with fractions and decimals

Do fractions terminate or repeat as decimals?

In lowest terms, a fraction terminates only if its denominator has no prime factors other than 2 and 5.

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  1. Does 4/5 written as a decimal terminate (stop) or repeat? Write terminate or repeat.

    Answer: terminate

  2. Does 5/12 written as a decimal terminate (stop) or repeat? Write terminate or repeat.

    Answer: repeat

  3. Does 1/3 written as a decimal terminate (stop) or repeat? Write terminate or repeat.

    Answer: repeat

Tip: In lowest terms, a fraction terminates only if its denominator has no prime factors other than 2 and 5.

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