$$\frac { 10 } { 10 } + 6 \frac { 14 } { 20 } + 2 \frac { 15 } { 40 }$$
$\frac{403}{40}=10.075$
$$1+\frac{6\times 20+14}{20}+\frac{2\times 40+15}{40}$$
$$1+\frac{120+14}{20}+\frac{2\times 40+15}{40}$$
$$1+\frac{134}{20}+\frac{2\times 40+15}{40}$$
$$1+\frac{67}{10}+\frac{2\times 40+15}{40}$$
$$\frac{10}{10}+\frac{67}{10}+\frac{2\times 40+15}{40}$$
$$\frac{10+67}{10}+\frac{2\times 40+15}{40}$$
$$\frac{77}{10}+\frac{2\times 40+15}{40}$$
$$\frac{77}{10}+\frac{80+15}{40}$$
$$\frac{77}{10}+\frac{95}{40}$$
$$\frac{77}{10}+\frac{19}{8}$$
$$\frac{308}{40}+\frac{95}{40}$$
$$\frac{308+95}{40}$$
$$\frac{403}{40}$$
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$\frac{13 \cdot 31}{2 ^ {3} \cdot 5} = 10\frac{3}{40} = 10.075$
