Which fraction has a non-terminating recurring decimal, though a student may wrongly think it terminates by looking quickly at the denominator?
Answer and explanation
Correct answer: (\frac{14}{350})
Step 1: (\frac{14}{350}=\frac{1}{25}), so it actually terminates. Step 2: The other listed fractions also reduce to denominators containing only (2) and (5). Therefore none of them is non-terminating recurring. Step 3: If a requested option does not appear, recheck every simplification carefully.
Frequently asked questions
What is the correct answer to this question?
(\frac{14}{350})
Why is this the correct answer?
Step 1: (\frac{14}{350}=\frac{1}{25}), so it actually terminates. Step 2: The other listed fractions also reduce to denominators containing only (2) and (5). Therefore none of them is non-terminating recurring. Step 3: If a requested option does not appear, recheck every simplification carefully.
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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