$$\quad ( \frac { - 4 } { 9 } + \frac { 2 } { 3 } ) \div ( \frac { 11 } { 15 } - \frac { 2 } { 5 } )$$
$\frac{2}{3}\approx 0.666666667$
$$\frac{-\frac{4}{9}+\frac{2}{3}}{\frac{11}{15}-\frac{2}{5}}$$
$$\frac{-\frac{4}{9}+\frac{6}{9}}{\frac{11}{15}-\frac{2}{5}}$$
$$\frac{\frac{-4+6}{9}}{\frac{11}{15}-\frac{2}{5}}$$
$$\frac{\frac{2}{9}}{\frac{11}{15}-\frac{2}{5}}$$
$$\frac{\frac{2}{9}}{\frac{11}{15}-\frac{6}{15}}$$
$$\frac{\frac{2}{9}}{\frac{11-6}{15}}$$
$$\frac{\frac{2}{9}}{\frac{5}{15}}$$
$$\frac{\frac{2}{9}}{\frac{1}{3}}$$
$$\frac{2}{9}\times 3$$
$$\frac{2\times 3}{9}$$
$$\frac{6}{9}$$
$$\frac{2}{3}$$
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$\frac{2}{3} = 0.6666666666666666$