$$19 \frac { 1 } { 10 } - 9 \frac { 1 } { 5 }$$
$\frac{99}{10}=9.9$
$$\frac{190+1}{10}-\frac{9\times 5+1}{5}$$
$$\frac{191}{10}-\frac{9\times 5+1}{5}$$
$$\frac{191}{10}-\frac{45+1}{5}$$
$$\frac{191}{10}-\frac{46}{5}$$
$$\frac{191}{10}-\frac{92}{10}$$
$$\frac{191-92}{10}$$
$$\frac{99}{10}$$
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$\frac{3 ^ {2} \cdot 11}{2 \cdot 5} = 9\frac{9}{10} = 9.9$
