Question

195.Выполните действия
а)4 5/7+3 6/7; б) 7 1/13–5 5/13;
в) 18 12/17+5 15/17; г)24 5/9–21 7/9

Answer 1

$a)~~4\tt\displaystyle\frac{5}{7}+3\frac{6}{7}=\bigg(4+3\bigg)+\bigg(\frac{5}{7}+\frac{6}{7}\bigg)=7+\frac{11}{7}=7+1\frac{4}{7}=8\frac{4}{7}$

$b)~~7\tt\displaystyle\frac{1}{13}-5\frac{5}{13}=6\frac{14}{13}-5\frac{5}{13}=\bigg(6-5\bigg)+\bigg(\frac{14-5}{13}\bigg)=1+\frac{9}{13}=1\frac{9}{13}$

$v)~~18\tt\displaystyle\frac{12}{17}+5\frac{15}{17}=\bigg(18+5\bigg)+\bigg(\frac{12}{17}+\frac{15}{17}\bigg)=23+\frac{27}{17}=23+1\frac{10}{17}=24\frac{10}{17}$

$g)~~24\tt\displaystyle\frac{5}{9}-21\frac{7}{9}=23\frac{14}{9}-21\frac{7}{9}=\bigg(23-21\bigg)+\bigg(\frac{14}{9}-\frac{7}{9}\bigg)=2+\frac{7}{9}=2\frac{7}{9}$