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Subjects
Class 10MathematicsReal NumbersDecimal expansion of rational numbersHardLevel 21
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What is the denominator when (0.00064) is written as a fraction in lowest form?

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Answer and explanation

Correct answer: (15625)

Step 1: (0.00064=\frac{64}{100000}). Step 2: Reducing by the greatest common factor (32) gives (\frac{2}{3125}). So the denominator is (3125). Step 3: Reduce carefully; repeated division by (2) is safe here.

Related tags

Decimal-To-FractionLowest-FormTerminating-DecimalHard

Frequently asked questions

What is the correct answer to this question?

(15625)

Why is this the correct answer?

Step 1: (0.00064=\frac{64}{100000}). Step 2: Reducing by the greatest common factor (32) gives (\frac{2}{3125}). So the denominator is (3125). Step 3: Reduce carefully; repeated division by (2) is safe here.

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?
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