$$2\frac{1}{7}\times1\frac{3}{5}-1\frac{1}{5}\div2\frac{1}{4}$$
$\frac{304}{105}\approx 2.895238095$
$$\frac{14+1}{7}\times \frac{1\times 5+3}{5}-\frac{\frac{1\times 5+1}{5}}{\frac{2\times 4+1}{4}}$$
$$\frac{15}{7}\times \frac{1\times 5+3}{5}-\frac{\frac{1\times 5+1}{5}}{\frac{2\times 4+1}{4}}$$
$$\frac{15}{7}\times \frac{5+3}{5}-\frac{\frac{1\times 5+1}{5}}{\frac{2\times 4+1}{4}}$$
$$\frac{15}{7}\times \frac{8}{5}-\frac{\frac{1\times 5+1}{5}}{\frac{2\times 4+1}{4}}$$
$$\frac{15\times 8}{7\times 5}-\frac{\frac{1\times 5+1}{5}}{\frac{2\times 4+1}{4}}$$
$$\frac{120}{35}-\frac{\frac{1\times 5+1}{5}}{\frac{2\times 4+1}{4}}$$
$$\frac{24}{7}-\frac{\frac{1\times 5+1}{5}}{\frac{2\times 4+1}{4}}$$
$$\frac{24}{7}-\frac{\left(1\times 5+1\right)\times 4}{5\left(2\times 4+1\right)}$$
$$\frac{24}{7}-\frac{\left(5+1\right)\times 4}{5\left(2\times 4+1\right)}$$
$$\frac{24}{7}-\frac{6\times 4}{5\left(2\times 4+1\right)}$$
$$\frac{24}{7}-\frac{24}{5\left(2\times 4+1\right)}$$
$$\frac{24}{7}-\frac{24}{5\left(8+1\right)}$$
$$\frac{24}{7}-\frac{24}{5\times 9}$$
$$\frac{24}{7}-\frac{24}{45}$$
$$\frac{24}{7}-\frac{8}{15}$$
$$\frac{360}{105}-\frac{56}{105}$$
$$\frac{360-56}{105}$$
$$\frac{304}{105}$$
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$\frac{2 ^ {4} \cdot 19}{3 \cdot 5 \cdot 7} = 2\frac{94}{105} = 2.895238095238095$
