$$(\frac{1}{2}-\frac{1}{3}+2)\div(1+\frac{1}{2}\times\frac{1}{3})$$
$\frac{13}{7}\approx 1.857142857$
$$\frac{\frac{3}{6}-\frac{2}{6}+2}{1+\frac{1}{2}\times \frac{1}{3}}$$
$$\frac{\frac{3-2}{6}+2}{1+\frac{1}{2}\times \frac{1}{3}}$$
$$\frac{\frac{1}{6}+2}{1+\frac{1}{2}\times \frac{1}{3}}$$
$$\frac{\frac{1}{6}+\frac{12}{6}}{1+\frac{1}{2}\times \frac{1}{3}}$$
$$\frac{\frac{1+12}{6}}{1+\frac{1}{2}\times \frac{1}{3}}$$
$$\frac{\frac{13}{6}}{1+\frac{1}{2}\times \frac{1}{3}}$$
$$\frac{\frac{13}{6}}{1+\frac{1\times 1}{2\times 3}}$$
$$\frac{\frac{13}{6}}{1+\frac{1}{6}}$$
$$\frac{\frac{13}{6}}{\frac{6}{6}+\frac{1}{6}}$$
$$\frac{\frac{13}{6}}{\frac{6+1}{6}}$$
$$\frac{\frac{13}{6}}{\frac{7}{6}}$$
$$\frac{13}{6}\times \frac{6}{7}$$
$$\frac{13\times 6}{6\times 7}$$
$$\frac{13}{7}$$
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$\frac{13}{7} = 1\frac{6}{7} = 1.8571428571428572$
