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Fractions

Division of fractions

  • Dividing by a fraction is the same as multiplying by its reciprocal (fraction turned upside down).
  • If dividing with mixed numbers, remember to convert to improper fractions first.

For example:

\begin{eqnarray*}
\frac{3}{4} \div \frac{2}{3}&=& \frac{3}{4} \times \frac{3}{2}\\ &=& \frac{3\times3}{4\times2}\\ &=& \frac{9}{8}\\ &=& \displaystyle 1 \frac{1}{8}
\end{eqnarray*}