$$( \frac { 1 } { 5 } - \frac { 1 } { 6 } ) \div ( \frac { 1 } { 6 } - \frac { 1 } { 15 } )$$
$\frac{1}{3}\approx 0.333333333$
$$\frac{\frac{6}{30}-\frac{5}{30}}{\frac{1}{6}-\frac{1}{15}}$$
$$\frac{\frac{6-5}{30}}{\frac{1}{6}-\frac{1}{15}}$$
$$\frac{\frac{1}{30}}{\frac{1}{6}-\frac{1}{15}}$$
$$\frac{\frac{1}{30}}{\frac{5}{30}-\frac{2}{30}}$$
$$\frac{\frac{1}{30}}{\frac{5-2}{30}}$$
$$\frac{\frac{1}{30}}{\frac{3}{30}}$$
$$\frac{\frac{1}{30}}{\frac{1}{10}}$$
$$\frac{1}{30}\times 10$$
$$\frac{10}{30}$$
$$\frac{1}{3}$$
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$\frac{1}{3} = 0.3333333333333333$
