$$\frac { 10 x + 1 } { 3 + \frac { 1 } { 2 } }$$
$\frac{20x+2}{7}$
$$\frac{10x+1}{\frac{6}{2}+\frac{1}{2}}$$
$$\frac{10x+1}{\frac{6+1}{2}}$$
$$\frac{10x+1}{\frac{7}{2}}$$
$$\frac{\left(10x+1\right)\times 2}{7}$$
$$\frac{20x+2}{7}$$
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