$$(2\frac{3}{4}+2)\div3\frac{1}{2}$$
$\frac{19}{14}\approx 1.357142857$
$$\frac{\frac{8+3}{4}+2}{\frac{3\times 2+1}{2}}$$
$$\frac{\frac{11}{4}+2}{\frac{3\times 2+1}{2}}$$
$$\frac{\frac{11}{4}+\frac{8}{4}}{\frac{3\times 2+1}{2}}$$
$$\frac{\frac{11+8}{4}}{\frac{3\times 2+1}{2}}$$
$$\frac{\frac{19}{4}}{\frac{3\times 2+1}{2}}$$
$$\frac{\frac{19}{4}}{\frac{6+1}{2}}$$
$$\frac{\frac{19}{4}}{\frac{7}{2}}$$
$$\frac{19}{4}\times \frac{2}{7}$$
$$\frac{19\times 2}{4\times 7}$$
$$\frac{38}{28}$$
$$\frac{19}{14}$$
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$\frac{19}{2 \cdot 7} = 1\frac{5}{14} = 1.3571428571428572$
