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Question

Which of the following fractions is a recurring and non-terminating decimal?


A

2232

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B

289

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C

2464

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D

8325

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Solution

The correct option is B

289


2464 = 38 = 3×1258×125= 0.375 is a terminating decimal

8325 = 83×425×4 = 332100 = 3.32 is a terminating decimal

2232 = 11×62516×625 = 687510000= 0.6875 is a terminating decimal

289 = 3.1111 has a recurring and non-terminating decimal number


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