$$( 2 \frac { 4 } { 5 } + 1 \frac { 3 } { 10 } ) \times 1 \frac { 1 } { 2 }$$
$\frac{123}{20}=6.15$
$$\left(\frac{10+4}{5}+\frac{1\times 10+3}{10}\right)\times \frac{1\times 2+1}{2}$$
$$\left(\frac{14}{5}+\frac{1\times 10+3}{10}\right)\times \frac{1\times 2+1}{2}$$
$$\left(\frac{14}{5}+\frac{10+3}{10}\right)\times \frac{1\times 2+1}{2}$$
$$\left(\frac{14}{5}+\frac{13}{10}\right)\times \frac{1\times 2+1}{2}$$
$$\left(\frac{28}{10}+\frac{13}{10}\right)\times \frac{1\times 2+1}{2}$$
$$\frac{28+13}{10}\times \frac{1\times 2+1}{2}$$
$$\frac{41}{10}\times \frac{1\times 2+1}{2}$$
$$\frac{41}{10}\times \frac{2+1}{2}$$
$$\frac{41}{10}\times \frac{3}{2}$$
$$\frac{41\times 3}{10\times 2}$$
$$\frac{123}{20}$$
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$\frac{3 \cdot 41}{2 ^ {2} \cdot 5} = 6\frac{3}{20} = 6.15$