Выполните действия: а) 3/4 : 5/6 + 2 1/2 · 2/5 − 1 : 1 1/6; б) 2 3/4 : (1 1/2 − 2/5) + (3/4 + 5/6) : 3 1/6; в) (2/15 + 7/12) · 30/43 − 2 : 2 1/2 · 5/32; г) (3 1/2 : 4 2/3 + 4 2/3 : 3 1/2) · 4 4/5; д) (11 5/11 − 8 21/22) : 1 2/3; е) ((1 1/2)³ − 3/4) : 7/8.

Question

Вопрос:

Accepted Answer

а) \(\frac34:\frac56+2\frac12\cdot\frac25-1:1\frac16=\frac9{10}+1-\frac67=\frac{63+70-60}{70}=\frac{73}{70}=1\frac3{70}\).
б) \(2\frac34:(1\frac12-\frac25)+(\frac34+\frac56):3\frac16=\frac{11}{4}:\frac{11}{10}+\frac{19}{12}:\frac{19}{6}=\frac52+\frac12=3\).
в) \((\frac2{15}+\frac7{12})\cdot\frac{30}{43}-2:2\frac12\cdot\frac5{32} =\frac{43}{60}\cdot\frac{30}{43}-2:\frac52\cdot\frac5{32}=\frac12-\frac18=\frac38\).
г) \((\frac72:\frac{14}{3}+\frac{14}{3}:\frac72)\cdot\frac{24}{5}=(\frac34+\frac43)\cdot\frac{24}{5}=\frac{25}{12}\cdot\frac{24}{5}=10\).
д) \((\frac{126}{11}-\frac{197}{22}):\frac53=\frac{55}{22}:\frac53=\frac52\cdot\frac35=\frac32\).
е) \(((\frac32)^3-\frac34):\frac78=(\frac{27}{8}-\frac68):\frac78=\frac{21}{8}\cdot\frac87=3\).

Ответ: а) 1 3/70; б) 3; в) 3/8; г) 10; д) 1 1/2; е) 3.