What is obtained by converting (0.375) into a simplified fraction?
Answer and explanation
Correct answer: \(\frac{3}{8}\)
Since 0.375 has three digits after the decimal point, it can be written as \(\frac{375}{1000}\). Dividing the numerator and denominator by 125 gives \(\frac{375}{1000}=\frac{3}{8}\), which is the simplest form. In option B, the decimal digits have been handled incorrectly, while options C and D are not equal to 0.375. Exam tip: use a denominator of 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?
\(\frac{3}{8}\)
Why is this the correct answer?
Since 0.375 has three digits after the decimal point, it can be written as \(\frac{375}{1000}\). Dividing the numerator and denominator by 125 gives \(\frac{375}{1000}=\frac{3}{8}\), which is the simplest form. In option B, the decimal digits have been handled incorrectly, while options C and D are not equal to 0.375. Exam tip: use a denominator of 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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