Which of the following will have a terminating decimal expansion-displaystyle frac-77-210-displaystyle frac-23-30-displaystyle frac-125-441-displaystyle frac-23-8-

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Terminating and Non-Terminating Decimals

Question

Which of the following will have a terminating decimal expansion?
$\frac{77}{210}$
$\frac{23}{30}$
$\frac{125}{441}$
$\frac{23}{8}$

\frac{125}{441}

\frac{77}{210}

\frac{23}{30}

\frac{23}{8}

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Solution

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We know that the divisor of the forms $2^{n} 5^{m}$ always form a terminating decimal number. Let us simplify the expressions and find if the expansion have a terminating decimal expansion.

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Which of the following will have a terminating decimal expansion?772102330125441238

We know that the divisor of the forms 2n5m always form a terminating decimal number. Let us simplify the expressions and find if the expansion have a terminating decimal expansion.

Which of the following will have a terminating decimal expansion?
$\frac{77}{210}$
$\frac{23}{30}$
$\frac{125}{441}$
$\frac{23}{8}$

We know that the divisor of the forms $2^{n} 5^{m}$ always form a terminating decimal number. Let us simplify the expressions and find if the expansion have a terminating decimal expansion.