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Class 10MathematicsReal NumbersDecimal expansion of rational numbersMediumLevel 21
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If the reduced denominator has the factor (13), what is the correct conclusion about the decimal expansion?

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Answer and explanation

Correct answer: It will be non-terminating recurring

Step 1: (13) is neither (2) nor (5). Step 2: If (13) remains in the reduced denominator, the decimal cannot terminate. Step 3: Since it is rational, the non-terminating decimal will be recurring.

Related tags

Prime FactorsRecurring DecimalConcept Clarity

Frequently asked questions

What is the correct answer to this question?

It will be non-terminating recurring

Why is this the correct answer?

Step 1: (13) is neither (2) nor (5). Step 2: If (13) remains in the reduced denominator, the decimal cannot terminate. Step 3: Since it is rational, the non-terminating decimal will be recurring.

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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  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?
  9. 9When (0.75) is written as a rational number, which form is obtained?
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