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Class 10MathematicsReal NumbersDecimal expansion of rational numbersExpertLevel 21
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If (\frac{a}{2^6\cdot 3\cdot 5^4\cdot 7\cdot 13}) is to have a terminating decimal, what factor must (a) contain at minimum?

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Answer and explanation

Correct answer: (273)

The factors (3), (7), and (13) must be removed from the reduced denominator, so the minimum factor is (3\cdot 7\cdot 13=273). Factors (2) and (5) may remain.

Related tags

Minimum-FactorTerminating-ConditionPrime-FactorisationExpert

Frequently asked questions

What is the correct answer to this question?

(273)

Why is this the correct answer?

The factors (3), (7), and (13) must be removed from the reduced denominator, so the minimum factor is (3\cdot 7\cdot 13=273). Factors (2) and (5) may remain.

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?
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  7. 7Which of the following fractions will give a terminating decimal?
  8. 8Which of the following fractions will give a non-terminating recurring decimal?
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