State whether the following rational number h | vedclass

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(A) To determine if a rational number $\frac{p}{q}$ has a terminating decimal expansion,we check the prime factorization of the denominator $q$ in its

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Terminating,$0.3$

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(A) To determine if a rational number $\frac{p}{q}$ has a terminating decimal expansion,we check the prime factorization of the denominator $q$ in its simplest form.First,simplify the fraction: $\frac{9}{30} = \frac{3 	imes 3}{3 	imes 10} = \frac{3}{10}$.The denominator is $10 = 2^1 	imes 5^1$.Since the prime factorization of the denominator is of the form $2^n 	imes 5^m$ (where $n, m$ are non-negative integers),the rational number has a terminating decimal expansion.To find the decimal expansion: $\frac{3}{10} = 0.3$.

State whether the following rational number has a terminating decimal expansion or not. If it has,then find it: $\frac{9}{30}$

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