Question

Without actual division find which of the following rational numbers are terminating decimal 7/24

Answer 1

Answer:

we know that if the denominator of a rational number has no prime factors other than 2 and 5.

In 7/24, the denominator is 24 .

we have 24 =2×2×2×3

Thus, 24 has only 2 and 3 prime factors

Hence, 7/24 must have a non terminating

Since non terminating decimal representation of 7/24 is 0.291666.......

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Answer 2

if the denominator of a rational number has no prime factors other than 2 and 5.

In 7/24, the denominator is 24 .

we have 24 =2×2×2×3

Thus, 24 has only 2 and 3 prime factors

Hence, 7/24 must have a non terminating

Since non terminating decimal representation of 7/24 is 0.291666.......