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 Divide fractions Divide fractions and mixed numbers To divide mixed numbers by fractions: 1. Write mixed numbers and whole numbers as improper fractions. 2. Multiply by the reciprocal of the divisor. Divide $1\frac{1}{2}\div\frac{4}{5}\;$. Simplify your answer and write it as a proper fraction or as a whole or mixed number. Write $1\frac{1}{2}$ as an improper fraction: $1\frac{1}{2}=\frac{(1\cdot2)+1}{2}=\frac{3}{2}$ Turn this from a division problem into a multiplication problem by multiplying by the reciprocal. $1\frac{1}{2}\div\frac{4}{5}=\frac{3}{2}\div\frac{4}{5}$ $=\frac{3}{2}\cdot\frac{5}{4}$ Now multiply. $\frac{3}{2}\cdot\frac{5}{4}=\frac{3\cdot5}{2\cdot4}=\frac{15}{8}$ Simplify the answer. $\frac{15}{8}=1\frac{7}{8}$ Divide 4$\frac{2}{3}\div\frac{7}{3}$ Simplify your answer and write it as a proper fraction or as a whole or mixed number.