$$\frac { 7 } { 12 } \div 2 \frac { 1 } { 3 } \times \frac { 2 } { 5 }$$
$\frac{1}{10}=0.1$
$$\frac{7\times 3}{12\left(2\times 3+1\right)}\times \frac{2}{5}$$
$$\frac{7}{4\left(1+2\times 3\right)}\times \frac{2}{5}$$
$$\frac{7}{4\left(1+6\right)}\times \frac{2}{5}$$
$$\frac{7}{4\times 7}\times \frac{2}{5}$$
$$\frac{7}{28}\times \frac{2}{5}$$
$$\frac{1}{4}\times \frac{2}{5}$$
$$\frac{1\times 2}{4\times 5}$$
$$\frac{2}{20}$$
$$\frac{1}{10}$$
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$\frac{1}{2 \cdot 5} = 0.1$
