$$(7\frac{4}{15}-4\frac{3}{5})\cdot(2\frac{5}{6}+5\frac{1}{12})$$
$\frac{190}{9}\approx 21.111111111$
$$\left(\frac{105+4}{15}-\frac{4\times 5+3}{5}\right)\left(\frac{2\times 6+5}{6}+\frac{5\times 12+1}{12}\right)$$
$$\left(\frac{109}{15}-\frac{4\times 5+3}{5}\right)\left(\frac{2\times 6+5}{6}+\frac{5\times 12+1}{12}\right)$$
$$\left(\frac{109}{15}-\frac{20+3}{5}\right)\left(\frac{2\times 6+5}{6}+\frac{5\times 12+1}{12}\right)$$
$$\left(\frac{109}{15}-\frac{23}{5}\right)\left(\frac{2\times 6+5}{6}+\frac{5\times 12+1}{12}\right)$$
$$\left(\frac{109}{15}-\frac{69}{15}\right)\left(\frac{2\times 6+5}{6}+\frac{5\times 12+1}{12}\right)$$
$$\frac{109-69}{15}\left(\frac{2\times 6+5}{6}+\frac{5\times 12+1}{12}\right)$$
$$\frac{40}{15}\left(\frac{2\times 6+5}{6}+\frac{5\times 12+1}{12}\right)$$
$$\frac{8}{3}\left(\frac{2\times 6+5}{6}+\frac{5\times 12+1}{12}\right)$$
$$\frac{8}{3}\left(\frac{12+5}{6}+\frac{5\times 12+1}{12}\right)$$
$$\frac{8}{3}\left(\frac{17}{6}+\frac{5\times 12+1}{12}\right)$$
$$\frac{8}{3}\left(\frac{17}{6}+\frac{60+1}{12}\right)$$
$$\frac{8}{3}\left(\frac{17}{6}+\frac{61}{12}\right)$$
$$\frac{8}{3}\left(\frac{34}{12}+\frac{61}{12}\right)$$
$$\frac{8}{3}\times \frac{34+61}{12}$$
$$\frac{8}{3}\times \frac{95}{12}$$
$$\frac{8\times 95}{3\times 12}$$
$$\frac{760}{36}$$
$$\frac{190}{9}$$
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$\frac{2 \cdot 5 \cdot 19}{3 ^ {2}} = 21\frac{1}{9} = 21.11111111111111$
