$$( 3 \frac { 3 } { 10 } + 5 \frac { 19 } { 20 } ) \cdot ( \frac { 3 } { 4 } + \frac { 7 } { 20 } )$$
$\frac{407}{40}=10.175$
$$\left(\frac{30+3}{10}+\frac{5\times 20+19}{20}\right)\left(\frac{3}{4}+\frac{7}{20}\right)$$
$$\left(\frac{33}{10}+\frac{5\times 20+19}{20}\right)\left(\frac{3}{4}+\frac{7}{20}\right)$$
$$\left(\frac{33}{10}+\frac{100+19}{20}\right)\left(\frac{3}{4}+\frac{7}{20}\right)$$
$$\left(\frac{33}{10}+\frac{119}{20}\right)\left(\frac{3}{4}+\frac{7}{20}\right)$$
$$\left(\frac{66}{20}+\frac{119}{20}\right)\left(\frac{3}{4}+\frac{7}{20}\right)$$
$$\frac{66+119}{20}\left(\frac{3}{4}+\frac{7}{20}\right)$$
$$\frac{185}{20}\left(\frac{3}{4}+\frac{7}{20}\right)$$
$$\frac{37}{4}\left(\frac{3}{4}+\frac{7}{20}\right)$$
$$\frac{37}{4}\left(\frac{15}{20}+\frac{7}{20}\right)$$
$$\frac{37}{4}\times \frac{15+7}{20}$$
$$\frac{37}{4}\times \frac{22}{20}$$
$$\frac{37}{4}\times \frac{11}{10}$$
$$\frac{37\times 11}{4\times 10}$$
$$\frac{407}{40}$$
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$\frac{11 \cdot 37}{2 ^ {3} \cdot 5} = 10\frac{7}{40} = 10.175$
