$$\frac { 1 - \frac { 1 } { 3 } } { 1 + \frac { 2 } { 3 } }$$
$\frac{2}{5}=0.4$
$$\frac{\frac{3}{3}-\frac{1}{3}}{1+\frac{2}{3}}$$
$$\frac{\frac{3-1}{3}}{1+\frac{2}{3}}$$
$$\frac{\frac{2}{3}}{1+\frac{2}{3}}$$
$$\frac{\frac{2}{3}}{\frac{3}{3}+\frac{2}{3}}$$
$$\frac{\frac{2}{3}}{\frac{3+2}{3}}$$
$$\frac{\frac{2}{3}}{\frac{5}{3}}$$
$$\frac{2}{3}\times \frac{3}{5}$$
$$\frac{2\times 3}{3\times 5}$$
$$\frac{2}{5}$$
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$\frac{2}{5} = 0.4$