$$1 \frac { 1 } { 4 } \cdot ( \frac { 3 } { 5 } + 2 \frac { 7 } { 15 } - \frac { 1 } { 2 } )$$
$\frac{77}{24}\approx 3.208333333$
$$\frac{4+1}{4}\left(\frac{3}{5}+\frac{2\times 15+7}{15}-\frac{1}{2}\right)$$
$$\frac{5}{4}\left(\frac{3}{5}+\frac{2\times 15+7}{15}-\frac{1}{2}\right)$$
$$\frac{5}{4}\left(\frac{3}{5}+\frac{30+7}{15}-\frac{1}{2}\right)$$
$$\frac{5}{4}\left(\frac{3}{5}+\frac{37}{15}-\frac{1}{2}\right)$$
$$\frac{5}{4}\left(\frac{9}{15}+\frac{37}{15}-\frac{1}{2}\right)$$
$$\frac{5}{4}\left(\frac{9+37}{15}-\frac{1}{2}\right)$$
$$\frac{5}{4}\left(\frac{46}{15}-\frac{1}{2}\right)$$
$$\frac{5}{4}\left(\frac{92}{30}-\frac{15}{30}\right)$$
$$\frac{5}{4}\times \frac{92-15}{30}$$
$$\frac{5}{4}\times \frac{77}{30}$$
$$\frac{5\times 77}{4\times 30}$$
$$\frac{385}{120}$$
$$\frac{77}{24}$$
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$\frac{7 \cdot 11}{2 ^ {3} \cdot 3} = 3\frac{5}{24} = 3.2083333333333335$
