$$7 \frac{ 1 }{ 2 } +2 \frac{ 7 }{ 10 } -2 \frac{ 3 }{ 5 }$$
$\frac{38}{5}=7.6$
$$\frac{14+1}{2}+\frac{2\times 10+7}{10}-\frac{2\times 5+3}{5}$$
$$\frac{15}{2}+\frac{2\times 10+7}{10}-\frac{2\times 5+3}{5}$$
$$\frac{15}{2}+\frac{20+7}{10}-\frac{2\times 5+3}{5}$$
$$\frac{15}{2}+\frac{27}{10}-\frac{2\times 5+3}{5}$$
$$\frac{75}{10}+\frac{27}{10}-\frac{2\times 5+3}{5}$$
$$\frac{75+27}{10}-\frac{2\times 5+3}{5}$$
$$\frac{102}{10}-\frac{2\times 5+3}{5}$$
$$\frac{51}{5}-\frac{2\times 5+3}{5}$$
$$\frac{51}{5}-\frac{10+3}{5}$$
$$\frac{51}{5}-\frac{13}{5}$$
$$\frac{51-13}{5}$$
$$\frac{38}{5}$$
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$\frac{2 \cdot 19}{5} = 7\frac{3}{5} = 7.6$
