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Divide fractions

Divide whole numbers by fractions

Dividing by a fraction is the same as multiplying by its reciprocal.

Divide $6\div\frac{3}{4}\;$. Simplify your answer.

Write 6 as an improper fraction: $6=\frac{6}{1}\;$

Turn this from a division problem into a multiplication problem by multiplying by the reciprocal.

$\frac{6}{1}\div\frac{3}{4}=\frac{6}{1}\cdot\frac{4}{3}\;$

Cancel common factors, then multiply.

$\frac{6}{1}\cdot\frac{4}{3}=\frac{2}{1}\cdot\frac{4}{1}\;$

$=\frac{2\cdot4}{1\cdot1}$

$=\frac{8}{1}$

$\frac{8}{1}=8$
Divide 10$\div\frac{6}{5}$