$$3\frac{1}{2}\{(10\frac{2}{5}-5\frac{1}{3})+3\frac{2}{3}\}-2\frac{1}{4}]$$
$\frac{1699}{60}\approx 28.316666667$
$$\frac{6+1}{2}\left(\frac{10\times 5+2}{5}-\frac{5\times 3+1}{3}+\frac{3\times 3+2}{3}\right)-\frac{2\times 4+1}{4}$$
$$\frac{7}{2}\left(\frac{10\times 5+2}{5}-\frac{5\times 3+1}{3}+\frac{3\times 3+2}{3}\right)-\frac{2\times 4+1}{4}$$
$$\frac{7}{2}\left(\frac{50+2}{5}-\frac{5\times 3+1}{3}+\frac{3\times 3+2}{3}\right)-\frac{2\times 4+1}{4}$$
$$\frac{7}{2}\left(\frac{52}{5}-\frac{5\times 3+1}{3}+\frac{3\times 3+2}{3}\right)-\frac{2\times 4+1}{4}$$
$$\frac{7}{2}\left(\frac{52}{5}-\frac{15+1}{3}+\frac{3\times 3+2}{3}\right)-\frac{2\times 4+1}{4}$$
$$\frac{7}{2}\left(\frac{52}{5}-\frac{16}{3}+\frac{3\times 3+2}{3}\right)-\frac{2\times 4+1}{4}$$
$$\frac{7}{2}\left(\frac{156}{15}-\frac{80}{15}+\frac{3\times 3+2}{3}\right)-\frac{2\times 4+1}{4}$$
$$\frac{7}{2}\left(\frac{156-80}{15}+\frac{3\times 3+2}{3}\right)-\frac{2\times 4+1}{4}$$
$$\frac{7}{2}\left(\frac{76}{15}+\frac{3\times 3+2}{3}\right)-\frac{2\times 4+1}{4}$$
$$\frac{7}{2}\left(\frac{76}{15}+\frac{9+2}{3}\right)-\frac{2\times 4+1}{4}$$
$$\frac{7}{2}\left(\frac{76}{15}+\frac{11}{3}\right)-\frac{2\times 4+1}{4}$$
$$\frac{7}{2}\left(\frac{76}{15}+\frac{55}{15}\right)-\frac{2\times 4+1}{4}$$
$$\frac{7}{2}\times \frac{76+55}{15}-\frac{2\times 4+1}{4}$$
$$\frac{7}{2}\times \frac{131}{15}-\frac{2\times 4+1}{4}$$
$$\frac{7\times 131}{2\times 15}-\frac{2\times 4+1}{4}$$
$$\frac{917}{30}-\frac{2\times 4+1}{4}$$
$$\frac{917}{30}-\frac{8+1}{4}$$
$$\frac{917}{30}-\frac{9}{4}$$
$$\frac{1834}{60}-\frac{135}{60}$$
$$\frac{1834-135}{60}$$
$$\frac{1699}{60}$$
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$\frac{1699}{2 ^ {2} \cdot 3 \cdot 5} = 28\frac{19}{60} = 28.316666666666666$
