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प्रश्न
Write the decimal expansion of those numbers from the following that have terminating decimals.
`7/375`
संख्यात्मक
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उत्तर
To determine whether the fraction `7/375` has a terminating decimal expansion, we analyse the denominator’s prime factors:
375 = 3 × 53
Since there is a prime factor 3 in the denominator other than 2 or 5, the decimal expansion of `7/375` is non-terminating repeating, not terminating.
Therefore, `7/375` does not have a terminating decimal expansion.
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