$$40 \times 20-15/6+45(4 \times 45/5)$$
$\frac{4835}{2}=2417.5$
$$800-\frac{15}{6}+45\times \frac{4\times 45}{5}$$
$$800-\frac{5}{2}+45\times \frac{4\times 45}{5}$$
$$\frac{1600}{2}-\frac{5}{2}+45\times \frac{4\times 45}{5}$$
$$\frac{1600-5}{2}+45\times \frac{4\times 45}{5}$$
$$\frac{1595}{2}+45\times \frac{4\times 45}{5}$$
$$\frac{1595}{2}+45\times \frac{180}{5}$$
$$\frac{1595}{2}+45\times 36$$
$$\frac{1595}{2}+1620$$
$$\frac{1595}{2}+\frac{3240}{2}$$
$$\frac{1595+3240}{2}$$
$$\frac{4835}{2}$$
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$\frac{5 \cdot 967}{2} = 2417\frac{1}{2} = 2417.5$