What is the decimal form of (\(\frac{2}{3}\))?
Answer and explanation
Correct answer: \(0.666\ldots\)
Dividing 2 by 3 gives 0.666…, where the digit 6 repeats indefinitely. Therefore, \(\frac{2}{3}=0.666\ldots\). Option B is incorrect because 0.6 is only a one-decimal-place approximation, not the exact value. Exam tip: Remember that \(\frac{1}{3}=0.333\ldots\); doubling it gives \(\frac{2}{3}=0.666\ldots\).
Frequently asked questions
What is the correct answer to this question?
\(0.666\ldots\)
Why is this the correct answer?
Dividing 2 by 3 gives 0.666…, where the digit 6 repeats indefinitely. Therefore, \(\frac{2}{3}=0.666\ldots\). Option B is incorrect because 0.6 is only a one-decimal-place approximation, not the exact value. Exam tip: Remember that \(\frac{1}{3}=0.333\ldots\); doubling it gives \(\frac{2}{3}=0.666\ldots\).
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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