$$2\frac{9}{20}+6\frac{3}{20}-4\frac{17}{20}=$$
$\frac{15}{4}=3.75$
$$\frac{40+9}{20}+\frac{6\times 20+3}{20}-\frac{4\times 20+17}{20}$$
$$\frac{49}{20}+\frac{6\times 20+3}{20}-\frac{4\times 20+17}{20}$$
$$\frac{49}{20}+\frac{120+3}{20}-\frac{4\times 20+17}{20}$$
$$\frac{49}{20}+\frac{123}{20}-\frac{4\times 20+17}{20}$$
$$\frac{49+123}{20}-\frac{4\times 20+17}{20}$$
$$\frac{172}{20}-\frac{4\times 20+17}{20}$$
$$\frac{43}{5}-\frac{4\times 20+17}{20}$$
$$\frac{43}{5}-\frac{80+17}{20}$$
$$\frac{43}{5}-\frac{97}{20}$$
$$\frac{172}{20}-\frac{97}{20}$$
$$\frac{172-97}{20}$$
$$\frac{75}{20}$$
$$\frac{15}{4}$$
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$\frac{3 \cdot 5}{2 ^ {2}} = 3\frac{3}{4} = 3.75$
