What is obtained when (0.0125) is converted into a simplified fraction?
Answer and explanation
Correct answer: \(\frac{1}{80}\)
The decimal \(0.0125\) has four digits after the decimal point, so it can be written as \(\frac{125}{10000}\). Dividing the numerator and denominator by 125 gives \(\frac{125}{10000}=\frac{1}{80}\). Therefore, option B is correct. Exam tip: For a terminating decimal, use 1 followed by as many zeros as there are decimal places, then reduce the fraction.
Frequently asked questions
What is the correct answer to this question?
\(\frac{1}{80}\)
Why is this the correct answer?
The decimal \(0.0125\) has four digits after the decimal point, so it can be written as \(\frac{125}{10000}\). Dividing the numerator and denominator by 125 gives \(\frac{125}{10000}=\frac{1}{80}\). Therefore, option B is correct. Exam tip: For a terminating decimal, use 1 followed by as many zeros as there are decimal places, then reduce the fraction.
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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