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What is obtained when (0.06) is converted into a simplified fraction?

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Answer and explanation

Correct answer: \(\frac{3}{50}\)

Since 0.06 has two digits after the decimal point, it is first written as \(\frac{6}{100}\). The greatest common divisor of 6 and 100 is 2, so \(\frac{6}{100}=\frac{3}{50}\). Therefore, option C is correct. Remember that \(\frac{6}{10}\) equals 0.6, not 0.06.

Related tags

Number-SystemsDecimal-RepresentationDecimal-To-FractionSimplification

Frequently asked questions

What is the correct answer to this question?

\(\frac{3}{50}\)

Why is this the correct answer?

Since 0.06 has two digits after the decimal point, it is first written as \(\frac{6}{100}\). The greatest common divisor of 6 and 100 is 2, so \(\frac{6}{100}=\frac{3}{50}\). Therefore, option C is correct. Remember that \(\frac{6}{10}\) equals 0.6, not 0.06.

Which subject and chapter does this question cover?

This is a Class 9 Mathematics question. Chapter: Number Systems. Topic: Decimal representation.

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