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With out actually performing the long division, state whether the following rational numbers will have a terminating decimal expansion or a non-terminating repeating decimal expansion :
(i) `(17)/(8)` (ii) `(64)/(455)` (iii) `(29)/(343)` (iv) `(129)/(2^(2)5^(7)7^(2))` (v) `(6)/(15)` (vi) `(27)/(210)`

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The correct Answer is:
`{:((i) " terminating"," " (ii) " non-terminating repeating decimal "),((iii) " non-terminating repeating decimal ", " " (iv) " non-terminating repeating decimal "),((v) " terminating ", " " (vi) " non-terminating repeating decimal "):}`
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