$$\frac { 3 } { 4 } \times 7 \frac { 3 } { 7 } - 5 \frac { 3 } { 5 } \div 3 \frac { 4 } { 15 }$$
$\frac{27}{7}\approx 3.857142857$
$$\frac{3}{4}\times \frac{49+3}{7}-\frac{\frac{5\times 5+3}{5}}{\frac{3\times 15+4}{15}}$$
$$\frac{3}{4}\times \frac{52}{7}-\frac{\frac{5\times 5+3}{5}}{\frac{3\times 15+4}{15}}$$
$$\frac{3\times 52}{4\times 7}-\frac{\frac{5\times 5+3}{5}}{\frac{3\times 15+4}{15}}$$
$$\frac{156}{28}-\frac{\frac{5\times 5+3}{5}}{\frac{3\times 15+4}{15}}$$
$$\frac{39}{7}-\frac{\frac{5\times 5+3}{5}}{\frac{3\times 15+4}{15}}$$
$$\frac{39}{7}-\frac{\left(5\times 5+3\right)\times 15}{5\left(3\times 15+4\right)}$$
$$\frac{39}{7}-\frac{3\left(3+5\times 5\right)}{4+3\times 15}$$
$$\frac{39}{7}-\frac{3\left(3+25\right)}{4+3\times 15}$$
$$\frac{39}{7}-\frac{3\times 28}{4+3\times 15}$$
$$\frac{39}{7}-\frac{84}{4+3\times 15}$$
$$\frac{39}{7}-\frac{84}{4+45}$$
$$\frac{39}{7}-\frac{84}{49}$$
$$\frac{39}{7}-\frac{12}{7}$$
$$\frac{39-12}{7}$$
$$\frac{27}{7}$$
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$\frac{3 ^ {3}}{7} = 3\frac{6}{7} = 3.857142857142857$