Question

Выполните действия:

(5 5/6 + 8 2/9) : 25,3 - 3 1/9 + 1,5 : 27/28 ;

Answer 1

$\displaystyle \tt \bigg(5\frac{5}{6}+8\frac{2}{9}\bigg):25,3-3\frac{1}{9}+1,5:\frac{27}{28}=-1\\\\\\\\1). \ \ 5\frac{5}{6}+8\frac{2}{9}=5\frac{15}{18}+8\frac{4}{18}=13\frac{19}{18}=14\frac{1}{18};\\\\2).\ \ 14\frac{1}{18}:25,3=\frac{253}{18}\cdot\frac{10}{253}=\frac{10}{18}=\frac{5}{9};\\\\3). \ \ 1,5:\frac{27}{28}=\frac{42}{28}\cdot\frac{28}{27}=\frac{42}{27}=1\frac{15}{27};\\\\4). \ \ \frac{5}{9}-3\frac{1}{9}=\frac{5}{9}-\frac{28}{9}=-\frac{23}{9}=-2\frac{5}{9};$

$\displaystyle \tt 5). \ \ -2\frac{5}{9}+1\frac{15}{27}=-2\frac{15}{27}+1\frac{15}{27}=-1;$