$$( \frac { 3 } { 2 } + \frac { 2 } { 3 } ) \times \frac { 1 } { 5 } - \frac { 1 } { 5 } \times ( 2 - \frac { 1 } { 3 } )$$
$\frac{1}{10}=0.1$
$$\left(\frac{9}{6}+\frac{4}{6}\right)\times \frac{1}{5}-\frac{1}{5}\left(2-\frac{1}{3}\right)$$
$$\frac{9+4}{6}\times \frac{1}{5}-\frac{1}{5}\left(2-\frac{1}{3}\right)$$
$$\frac{13}{6}\times \frac{1}{5}-\frac{1}{5}\left(2-\frac{1}{3}\right)$$
$$\frac{13\times 1}{6\times 5}-\frac{1}{5}\left(2-\frac{1}{3}\right)$$
$$\frac{13}{30}-\frac{1}{5}\left(2-\frac{1}{3}\right)$$
$$\frac{13}{30}-\frac{1}{5}\left(\frac{6}{3}-\frac{1}{3}\right)$$
$$\frac{13}{30}-\frac{1}{5}\times \frac{6-1}{3}$$
$$\frac{13}{30}-\frac{1}{5}\times \frac{5}{3}$$
$$\frac{13}{30}-\frac{1\times 5}{5\times 3}$$
$$\frac{13}{30}-\frac{1}{3}$$
$$\frac{13}{30}-\frac{10}{30}$$
$$\frac{13-10}{30}$$
$$\frac{3}{30}$$
$$\frac{1}{10}$$
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$\frac{1}{2 \cdot 5} = 0.1$
