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Has the rational number a terminating or a non terminating decimal \(\frac{441}{2^2\times 5^7\times 7^2}\) representation?

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Best answer

Let x = \(\frac{p}{q}\) be a rational number, then x is terminating if and only if, the denominator q has the form 2n 5m

The denominator is not of the form 2n 5m as it has 72 as its factor.

Therefore,

Given rational number has a non-terminating decimal representation.

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