Which fraction will not have a terminating decimal expansion?
Answer and explanation
Correct answer: (\frac{50}{2\cdot 5^2\cdot 7})
Step 1: Look for any factor other than (2) and (5) that remains in the denominator. Step 2: In (\frac{50}{2\cdot 5^2\cdot 7}), (50=2\cdot 5^2) cancels, but (7) remains. So the decimal is non-terminating recurring. Step 3: The remaining prime factors after cancellation decide the type.
Frequently asked questions
What is the correct answer to this question?
(\frac{50}{2\cdot 5^2\cdot 7})
Why is this the correct answer?
Step 1: Look for any factor other than (2) and (5) that remains in the denominator. Step 2: In (\frac{50}{2\cdot 5^2\cdot 7}), (50=2\cdot 5^2) cancels, but (7) remains. So the decimal is non-terminating recurring. Step 3: The remaining prime factors after cancellation decide the type.
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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