Without actual division , show that each of the following rational numbers is non -terminating repeating decimal :

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Without actual division , show that each of the following rational numbers is non -terminating repeating decimal : $\frac{73}{(2^{2} \times 3^{3} \times 5)}$

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$\frac{73}{(2^{2} \times 3^{3} \times 5)}$
2 or 3 and 5 is not factor of 73 so fraction is in its simplest form.
and, (2² × 3² × 5) ≠ (2^m × 5ⁿ) in denominator
hence given fraction is non -terminating repeating decimal.