$$(5\frac{1}{4}-2\frac{1}{3})+\frac{1}{3}(5\frac{1}{2}\div2\frac{1}{5})$$
$\frac{15}{4}=3.75$
$$\frac{20+1}{4}-\frac{2\times 3+1}{3}+\frac{1}{3}\times \frac{\frac{5\times 2+1}{2}}{\frac{2\times 5+1}{5}}$$
$$\frac{21}{4}-\frac{2\times 3+1}{3}+\frac{1}{3}\times \frac{\frac{5\times 2+1}{2}}{\frac{2\times 5+1}{5}}$$
$$\frac{21}{4}-\frac{6+1}{3}+\frac{1}{3}\times \frac{\frac{5\times 2+1}{2}}{\frac{2\times 5+1}{5}}$$
$$\frac{21}{4}-\frac{7}{3}+\frac{1}{3}\times \frac{\frac{5\times 2+1}{2}}{\frac{2\times 5+1}{5}}$$
$$\frac{63}{12}-\frac{28}{12}+\frac{1}{3}\times \frac{\frac{5\times 2+1}{2}}{\frac{2\times 5+1}{5}}$$
$$\frac{63-28}{12}+\frac{1}{3}\times \frac{\frac{5\times 2+1}{2}}{\frac{2\times 5+1}{5}}$$
$$\frac{35}{12}+\frac{1}{3}\times \frac{\frac{5\times 2+1}{2}}{\frac{2\times 5+1}{5}}$$
$$\frac{35}{12}+\frac{1}{3}\times \frac{\left(5\times 2+1\right)\times 5}{2\left(2\times 5+1\right)}$$
$$\frac{35}{12}+\frac{1}{3}\times \frac{5}{2}$$
$$\frac{35}{12}+\frac{1\times 5}{3\times 2}$$
$$\frac{35}{12}+\frac{5}{6}$$
$$\frac{35}{12}+\frac{10}{12}$$
$$\frac{35+10}{12}$$
$$\frac{45}{12}$$
$$\frac{15}{4}$$
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$\frac{3 \cdot 5}{2 ^ {2}} = 3\frac{3}{4} = 3.75$
