$$\frac { 3 \frac { 4 } { 5 } \times \frac { 7 } { 3 } } { \frac { 2 } { 3 } \div 7 \frac { 1 } { 7 } }$$
$95$
$$\frac{\frac{15+4}{5}\times \frac{7}{3}}{\frac{\frac{2}{3}}{\frac{7\times 7+1}{7}}}$$
$$\frac{\frac{19}{5}\times \frac{7}{3}}{\frac{\frac{2}{3}}{\frac{7\times 7+1}{7}}}$$
$$\frac{\frac{19\times 7}{5\times 3}}{\frac{\frac{2}{3}}{\frac{7\times 7+1}{7}}}$$
$$\frac{\frac{133}{15}}{\frac{\frac{2}{3}}{\frac{7\times 7+1}{7}}}$$
$$\frac{\frac{133}{15}}{\frac{2\times 7}{3\left(7\times 7+1\right)}}$$
$$\frac{\frac{133}{15}}{\frac{14}{3\left(7\times 7+1\right)}}$$
$$\frac{\frac{133}{15}}{\frac{14}{3\left(49+1\right)}}$$
$$\frac{\frac{133}{15}}{\frac{14}{3\times 50}}$$
$$\frac{\frac{133}{15}}{\frac{14}{150}}$$
$$\frac{\frac{133}{15}}{\frac{7}{75}}$$
$$\frac{133}{15}\times \frac{75}{7}$$
$$\frac{133\times 75}{15\times 7}$$
$$\frac{9975}{105}$$
$$95$$
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$5\times 19$
