Question

Помогите решить уравнение с дробями

Answer 1

Ответ:

$\Big (\frac{3,75+2\frac{1}{2}}{2\frac{1}{2}-1,875}+\frac{2\frac{3}{4}+1,75}{2,75-1\frac{1}{2}}\Big )\cdot \frac{10}{11}=\Big (\frac{3,75+2,5}{2,5-1,875}+\frac{2,75+1,75}{2,75-1,5}\Big )\cdot \frac{10}{11}=\Big (\frac{6,25}{0,625}+\frac{4,5}{1,25}\Big )\cdot \frac{10}{11}=\\\\=\Big (\frac{6\frac{1}{4}}{\frac{5}{8}}+\frac{4\frac{1}{2}}{1\frac{1}{4}}\Big )\cdot \frac{10}{11}=\Big (\frac{\frac{25}{4}}{\frac{5}{8}}+\frac{\frac{9}{2}}{\frac{5}{4}}\Big )\cdot \frac{10}{11}=\Big (\frac{25\cdot 8}{4\cdot 5}+\frac{9\cdot 4}{2\cdot 5}\Big )\cdot \frac{10}{11}=\Big (10+\frac{18}{5}\Big )\cdot \frac{10}{11}=$

$=\frac{68}{5}\cdot \frac{10}{11}=\frac{68\cdot 2}{11}=\frac{136}{11}=12\frac{4}{11}$