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Question
State if the following fraction has a terminating decimal
`(57)/(64)`
Solution
`(57)/(64)`
64 = 2 x 2 x 2 x 2 x 2 x 2 = 26 x 50
i.e. 64 can be expressed as 2m x 5n.
Hence, `(57)/(64)` has terminating decimal representation.
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