State whether 129/2^2 x 5^7 x7^17
will have terminating decimal expansion or a non-terminating repeating decimal expansion.
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129/22 x 57 x 75 We know 2, 5 or 7 is not a factor of 129, so it is in its simplest form. Moreover, (2^2× 5^3× 7^2) ≠ (2^m × 5^n) Hence, the given rational is non-terminating repeating decimal.
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