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Question
Without actual division show that each of the following rational numbers is a non-terminating repeating decimal.
(i) `29/343`
Solution
`29/343 = 29/(7^3)`
We know 7 is not a factor of 29, so it is in its simplest form.
Moreover, 73 ≠ (2m × 5n)
Hence, the given rational is non- terminating repeating decimal.
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