411 Вычислите: a) 31 + 5/6; B) 9/10 - 4/5; д) 11/18 + 1/6; б) 5/6 - 1/2; г) 5/6 - 5/12; e) 5/12 + 3/4

a) $$\frac{1}{3} + \frac{5}{6} = \frac{1*2}{3*2} + \frac{5}{6} = \frac{2}{6} + \frac{5}{6} = \frac{2+5}{6} = \frac{7}{6} = 1\frac{1}{6}$$

Ответ: $$1\frac{1}{6}$$

в) $$\frac{9}{10} - \frac{4}{5} = \frac{9}{10} - \frac{4*2}{5*2} = \frac{9}{10} - \frac{8}{10} = \frac{9-8}{10} = \frac{1}{10}$$

Ответ: $$\frac{1}{10}$$

д) $$\frac{11}{18} + \frac{1}{6} = \frac{11}{18} + \frac{1*3}{6*3} = \frac{11}{18} + \frac{3}{18} = \frac{11+3}{18} = \frac{14}{18} = \frac{7}{9}$$

Ответ: $$\frac{7}{9}$$

б) $$\frac{5}{6} - \frac{1}{2} = \frac{5}{6} - \frac{1*3}{2*3} = \frac{5}{6} - \frac{3}{6} = \frac{5-3}{6} = \frac{2}{6} = \frac{1}{3}$$

Ответ: $$\frac{1}{3}$$

г) $$\frac{5}{6} - \frac{5}{12} = \frac{5*2}{6*2} - \frac{5}{12} = \frac{10}{12} - \frac{5}{12} = \frac{10-5}{12} = \frac{5}{12}$$

Ответ: $$\frac{5}{12}$$

е) $$\frac{5}{12} + \frac{3}{4} = \frac{5}{12} + \frac{3*3}{4*3} = \frac{5}{12} + \frac{9}{12} = \frac{5+9}{12} = \frac{14}{12} = \frac{7}{6} = 1\frac{1}{6}$$

Ответ: $$1\frac{1}{6}$$