In simplest form, what type of decimal expansion will 242/605 have?
Answer and explanation
Correct answer: Terminating
Reduce the fraction by its common factor 121: 242/605 = 2/5. The denominator 5 has no prime factor other than 5, so the rational number has a terminating decimal expansion. In fact, 2/5 = 0.4. Hence option A is correct. A recurring or non-recurring infinite decimal would require a different denominator structure, while 0.4 is not an integer.
Frequently asked questions
What is the correct answer to this question?
Terminating
Why is this the correct answer?
Reduce the fraction by its common factor 121: 242/605 = 2/5. The denominator 5 has no prime factor other than 5, so the rational number has a terminating decimal expansion. In fact, 2/5 = 0.4. Hence option A is correct. A recurring or non-recurring infinite decimal would require a different denominator structure, while 0.4 is not an integer.
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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