Question

Вычеслите -1/5+1/6-1/10+1/12

Answer 1

$-\frac{1}{5}+\frac{1}{6}-\frac{1}{10}+\frac{1}{12}=-(\frac{1}{5}+\frac{1}{10})+(\frac{1}{6}+\frac{1}{12})=\\\\=-(\frac{2}{10}+\frac{1}{10})+(\frac{2}{12}+\frac{1}{12})=-\frac{3}{10}+\frac{3}{12}=-\frac{18}{60}+\frac{15}{60}=-\frac{3}{60}=\\\\=-\frac{1}{20}=-0,05$