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Division of Mixed Numbers

To divide mixed numbers, first write them as fractions. Then divide the fractions. For example,

$2 \ \frac{1}{3}$ ÷ $3 \ \frac{4}{5}$

$= \ \frac{7}{3}$ ÷ $\frac{19}{5}$

$= \ \frac{7}{3}$ x $\frac{5}{19}$

$= \ \frac{7 \ x \ 5}{3 \ x \ 19}$

$= \ \frac{35}{57}$


We may also use the cancellation method. In the example below, the whole number is written as fraction and the mixed number to fraction. It is shown below:

$3$ ÷ $1 \ \frac{2}{7}$

$= \ \frac{3}{1}$ ÷ $\frac{9}{7}$

$= \ \frac{3}{1}$ x $\frac{7}{9}$

$= \ \frac{1 \ x \ 7}{1 \ x \ 3}$

$= \ \frac{7}{3}$