Which fraction has a non-terminating recurring decimal expansion?
Answer and explanation
Correct answer: (\frac{26}{195})
Step 1: Reduce each option. (\frac{45}{90}=\frac{1}{2}), (\frac{36}{96}=\frac{3}{8}), and (\frac{28}{175}=\frac{4}{25}), so they terminate. Step 2: (\frac{26}{195}=\frac{2}{15}), and the denominator still has (3), so it is non-terminating recurring. Step 3: Reducing every option is the safest method.
Frequently asked questions
What is the correct answer to this question?
(\frac{26}{195})
Why is this the correct answer?
Step 1: Reduce each option. (\frac{45}{90}=\frac{1}{2}), (\frac{36}{96}=\frac{3}{8}), and (\frac{28}{175}=\frac{4}{25}), so they terminate. Step 2: (\frac{26}{195}=\frac{2}{15}), and the denominator still has (3), so it is non-terminating recurring. Step 3: Reducing every option is the safest method.
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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