$$( \frac { 11 } { 23 } \times \frac { 46 } { 55 } ) + ( \frac { 11 } { 23 } \times \frac { 92 } { 165 } )$$
$\frac{2}{3}\approx 0.666666667$
$$\frac{11\times 46}{23\times 55}+\frac{11}{23}\times \frac{92}{165}$$
$$\frac{506}{1265}+\frac{11}{23}\times \frac{92}{165}$$
$$\frac{2}{5}+\frac{11}{23}\times \frac{92}{165}$$
$$\frac{2}{5}+\frac{11\times 92}{23\times 165}$$
$$\frac{2}{5}+\frac{1012}{3795}$$
$$\frac{2}{5}+\frac{4}{15}$$
$$\frac{6}{15}+\frac{4}{15}$$
$$\frac{6+4}{15}$$
$$\frac{10}{15}$$
$$\frac{2}{3}$$
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$\frac{2}{3} = 0.6666666666666666$
