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Question

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Express 0.2317 in the form $straight p over straight q$ where p and q are co-prime and also express q in the form 2² × 5^m.

Solution

space space space space space space 0.2317 equals 2317 over 10000

p=2317 and q = 10000

Now q = (10)⁴= (2 x 5)⁴
= 2⁴x 5⁴

we find that 2 and 5 cannot be factors of p = 2317.

Thus, p = 23 17 and q = 10000 are co-prime.

Here, q = 2⁴ × 5⁴

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