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Subjects
Class 10MathematicsReal NumbersDecimal expansion of rational numbersExpertLevel 21
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Which fraction has a terminating decimal even though the given denominator contains (31)?

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Answer and explanation

Correct answer: (\frac{62}{2^4\cdot 5^3\cdot 31})

Since (62=2\cdot 31), the factor (31) cancels and the reduced denominator is (2^3\cdot 5^3). If an extra prime appears, check cancellation first.

Related tags

Tricky-TerminatingCancellationPrime-FactorisationMcq

Frequently asked questions

What is the correct answer to this question?

(\frac{62}{2^4\cdot 5^3\cdot 31})

Why is this the correct answer?

Since (62=2\cdot 31), the factor (31) cancels and the reduced denominator is (2^3\cdot 5^3). If an extra prime appears, check cancellation first.

Which subject and chapter does this question cover?

This is a Class 10 Mathematics question. Chapter: Real Numbers. Topic: Decimal expansion of rational numbers.

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  3. 3Under what condition does (\frac{p}{q}) have a terminating decimal expansion when the fraction is in lowest form?
  4. 4After reducing (\frac{15}{40}), what type of decimal expansion will it have?
  5. 5After at most how many decimal places will the decimal expansion of (\frac{7}{16}) terminate?
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  7. 7Which of the following fractions will give a terminating decimal?
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