$$(6.72\div\frac{3}{5}+1\frac{1}{8}\times0.8)\div1.21-6\frac{3}{8}$$
$3.625$
$$\frac{6.72\times \frac{5}{3}+\frac{1\times 8+1}{8}\times 0.8}{1.21}-\frac{6\times 8+3}{8}$$
$$\frac{\frac{168}{25}\times \frac{5}{3}+\frac{1\times 8+1}{8}\times 0.8}{1.21}-\frac{6\times 8+3}{8}$$
$$\frac{\frac{168\times 5}{25\times 3}+\frac{1\times 8+1}{8}\times 0.8}{1.21}-\frac{6\times 8+3}{8}$$
$$\frac{\frac{840}{75}+\frac{1\times 8+1}{8}\times 0.8}{1.21}-\frac{6\times 8+3}{8}$$
$$\frac{\frac{56}{5}+\frac{1\times 8+1}{8}\times 0.8}{1.21}-\frac{6\times 8+3}{8}$$
$$\frac{\frac{56}{5}+\frac{8+1}{8}\times 0.8}{1.21}-\frac{6\times 8+3}{8}$$
$$\frac{\frac{56}{5}+\frac{9}{8}\times 0.8}{1.21}-\frac{6\times 8+3}{8}$$
$$\frac{\frac{56}{5}+\frac{9}{8}\times \frac{4}{5}}{1.21}-\frac{6\times 8+3}{8}$$
$$\frac{\frac{56}{5}+\frac{9\times 4}{8\times 5}}{1.21}-\frac{6\times 8+3}{8}$$
$$\frac{\frac{56}{5}+\frac{36}{40}}{1.21}-\frac{6\times 8+3}{8}$$
$$\frac{\frac{56}{5}+\frac{9}{10}}{1.21}-\frac{6\times 8+3}{8}$$
$$\frac{\frac{112}{10}+\frac{9}{10}}{1.21}-\frac{6\times 8+3}{8}$$
$$\frac{\frac{112+9}{10}}{1.21}-\frac{6\times 8+3}{8}$$
$$\frac{\frac{121}{10}}{1.21}-\frac{6\times 8+3}{8}$$
$$\frac{121}{10\times 1.21}-\frac{6\times 8+3}{8}$$
$$\frac{121}{12.1}-\frac{6\times 8+3}{8}$$
$$\frac{1210}{121}-\frac{6\times 8+3}{8}$$
$$10-\frac{6\times 8+3}{8}$$
$$10-\frac{48+3}{8}$$
$$10-\frac{51}{8}$$
$$\frac{80}{8}-\frac{51}{8}$$
$$\frac{80-51}{8}$$
$$\frac{29}{8}$$
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$\frac{29}{2 ^ {3}} = 3\frac{5}{8} = 3.625$