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Question

# Divide. Write in simplest form. Check by multiplying.$\frac{1}{8} \div \frac{1}{2}=$

Solution

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Determine the quotient of the fraction in simplest form.

\begin{align*} \dfrac {1}{8} \div \dfrac {1}{2} & = \dfrac {1}{8} \times \dfrac {2}{1} && {\text {multiply the dividend by the reciprocal of the divisor}} \\ & = \dfrac {1 \times 2}{8 \times 1} && {\text {multiply both numerators and both denominators}} \\ & = \dfrac {2}{8} && {\text {simplify by dividing the fraction by its GCF of 2}} \\ & = \dfrac {1}{4} && {\text {quotient}} \end{align*}

Check by multiplying the quotient by the divisor.

$\dfrac {1}{4} \times \dfrac {1}{2} = \dfrac {1}{8}$

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