Выполните действия: а) 3/8 : 5/12- 3 1/2 * 2/5+ 1 : 3 1/3 б)1 1/4 (-2 2/3)+ 4/5 2 11/12- 1 1/6 : 21/22 в)3/4 : (1/14 - 5/7) + (5/6 -7/12) * 6 2/3 распишите по действиям.

Ответ:

Kurakluk

05.10.2020 21:30

A)
$\frac{3}{8} : \frac{5}{12} - 3 \frac{1}{2} * \frac{2}{5} + 1 : 3 \frac{1}{3}=- \frac{1}{5}$
1) $\frac{3}{8} : \frac{5}{12} = \frac{3}{8} * \frac{12}{5}= \frac{9}{10}$
2) $3 \frac{1}{2} * \frac{2}{5} = \frac{7}{2} * \frac{2}{5}= \frac{14}{10} =1 \frac{4}{10}=1 \frac{2}{5}$
3) $1 : 3 \frac{1}{3}= 1: \frac{10}{3} =1* \frac{3}{10} = \frac{3}{10}$
4) $\frac{9}{10}-1 \frac{2}{5} = \frac{9}{10}-1 \frac{4}{10} = - \frac{5}{10} =- \frac{1}{2}$
5) $- \frac{5}{10} + \frac{3}{10} =- \frac{2}{10} =- \frac{1}{5}$

б)
$1 \frac{1}{4} *(-2 \frac{2}{3} )+ \frac{4}{5} * 2 \frac{11}{12} - 1 \frac{1}{6} : \frac{21}{22}=-2 \frac{2}{9}$
1) $1 \frac{1}{4} *(-2 \frac{2}{3} )= \frac{5}{4}*(- \frac{8}{3})=- \frac{10}{3} =-3 \frac{1}{3}$
2) $\frac{4}{5} * 2 \frac{11}{12}= \frac{4}{5} * \frac{35}{12}= \frac{7}{3}=2 \frac{1}{3}$
3) $1 \frac{1}{6} : \frac{21}{22}= \frac{7}{6} * \frac{22}{21} = \frac{11}{9} =1 \frac{2}{9}$
4) $-3 \frac{1}{3}+2 \frac{1}{3}=-1$
5) $-1-1 \frac{2}{9}=-2 \frac{2}{9}$

в)
$\frac{3}{4} : ( \frac{1}{14} - \frac{5}{7} ) + ( \frac{5}{6} - \frac{7}{12} ) * 6 \frac{2}{3} =\frac{1}{2}$
1) $\frac{1}{14} - \frac{5}{7}= \frac{1}{14}- \frac{10}{14} =- \frac{9}{14}$
2) $\frac{5}{6} - \frac{7}{12}= \frac{10}{12} - \frac{7}{12} = \frac{3}{12} = \frac{1}{4}$
3) $\frac{3}{4} : (- \frac{9}{14} )=- \frac{3}{4} * \frac{14}{9} =- \frac{7}{6}=-1 \frac{1}{6}$
4) $\frac{1}{4} * 6 \frac{2}{3} = \frac{1}{4}* \frac{20}{3} = \frac{5}{3} =1 \frac{2}{3}$
5) $-1 \frac{1}{6} +1 \frac{2}{3} =-1 \frac{1}{6} +1 \frac{4}{6} = \frac{3}{6} = \frac{1}{2}$