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Class 10MathematicsReal NumbersDecimal expansion of rational numbersMediumLevel 21
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If (\frac{b}{180}) reduces to a fraction with denominator (20), what type of decimal expansion will it have?

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Answer and explanation

Correct answer: Terminating

Step 1: After reduction, the denominator is (20). Step 2: (20=2^2\times5), so it has only (2) and (5). Step 3: Therefore the decimal expansion is terminating.

Related tags

Reduced DenominatorTerminating DecimalConcept Check

Frequently asked questions

What is the correct answer to this question?

Terminating

Why is this the correct answer?

Step 1: After reduction, the denominator is (20). Step 2: (20=2^2\times5), so it has only (2) and (5). Step 3: Therefore the decimal expansion is terminating.

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?
  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?
  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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