Grade 8 Math · Problem type

Does the decimal end or repeat?

Use this for “Which fractions have decimals that end: 3/8, 1/3, 7/20?”

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Does the fraction’s decimal end or repeat?
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Assumptions

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Write the fraction in lowest terms, then look at the denominator’s prime factors.
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Only 2s and 5s: the decimal ends, since 10 = 2 × 5.
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Any other prime factor: the decimal repeats forever.
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