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Question
to divide two fractions, we \keep it, change it, flip it\. this means, we keep the first fraction the same, change the division to a multiplication, and then take the reciprocal of the second fraction. then multiply and reduce. for example,
\\(\frac{3}{4} \div \frac{1}{2} = \frac{3}{4} \times \frac{2}{1} = \frac{6}{4} = \frac{3}{2}\\)
complete each step to find the quotient:
\\(\frac{5}{6} \div \frac{4}{5} = \square \times \square = \square\\)
Step1: Keep first fraction, flip second
$\frac{5}{6} \div \frac{4}{5} = \frac{5}{6} \times \frac{5}{4}$
Step2: Multiply numerators and denominators
$\frac{5 \times 5}{6 \times 4} = \frac{25}{24}$
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$\frac{5}{6}$, $\frac{5}{4}$, $\frac{25}{24}$