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Question
Without actual division show that each of the following rational numbers is a non-terminating repeating decimal.
(i) `9/35`
Solution
`9/35 = 9/(5 ×7)`
We know either 5 or 7 is not a factor of 9, so it is in its simplest form.
Moreover, (5 × 7) ≠ (2m × 5n)
Hence, the given rational is non-terminating repeating decimal.
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