3/8 * 5 + 4 1/6 * 2 1/10 - 9/20 * 6решите пожалуйста по действиям :3

Решите задачу:

$\frac38\cdot5+4\frac16\cdot2\frac1{10}-\frac9{20}\cdot6=\\ =\frac{3\cdot5}{8}+\frac{4\cdot6+1}{6}\cdot\frac{2\cdot10+1}{10}-\frac{9\cdot6}{20}=\\ =\frac{15}{8}+\frac{24+1}{6}\cdot\frac{20+1}{10}-\frac{54}{20}=\\ =\frac{15}{8}+\frac{25}{6}\cdot\frac{21}{10}-\frac{54}{20}=\\ =\frac{15}{8}+\frac{5\cdot5}{2\cdot3}\cdot\frac{3\cdot7}{2\cdot5}-\frac{27\cdot2}{10\cdot2}=\\ =\frac{15}{8}+\frac{3\cdot5\cdot5\cdot7}{2\cdot2\cdot3\cdot5}-\frac{27}{10}=\\$
$=\frac{15}{8}+\frac{5\cdot7}{2\cdot2}-\frac{27}{10}=\frac{15}{8}+\frac{35}{4}-\frac{27}{10}=\\ =\frac{15\cdot5+35\cdot10-27\cdot4}{40}=\frac{75+350-108}{40}=\frac{317}{40}=7\frac{37}{40}$