Question

вычеслите :/ заранее спасибо)) ​

Answer 1

Ответ:

$\dfrac{11}{14}$

Пошаговое объяснение:

$\dfrac{6}{7} \cdot \bigg (\dfrac{3}{4}+ \bigg (\dfrac{1}{3}-\dfrac{1}{9} \bigg ):1\dfrac{1}{3} \bigg )=\dfrac{6}{7} \cdot \bigg (\dfrac{3}{4}+ \bigg (\dfrac{3}{9}-\dfrac{1}{9} \bigg ):\dfrac{1 \cdot 3+1}{3} \bigg )=\dfrac{6}{7} \cdot \bigg (\dfrac{3}{4}+\dfrac{2}{9}:\dfrac{4}{3} \bigg )=$

$=\dfrac{6}{7} \cdot \bigg (\dfrac{3}{4}+\dfrac{2}{9} \cdot \dfrac{3}{4} \bigg )=\dfrac{6}{7} \cdot \bigg (\dfrac{3}{4}+\dfrac{2 \cdot 3}{3 \cdot 3 \cdot 2 \cdot 2} \bigg )=\dfrac{6}{7} \cdot \bigg (\dfrac{3}{4}+\dfrac{1}{3 \cdot 2} \bigg )=\dfrac{6}{7} \cdot \bigg (\dfrac{3}{4}+\dfrac{1}{6} \bigg )=$

$=\dfrac{6}{7} \cdot \bigg (\dfrac{9}{12}+\dfrac{2}{12} \bigg )=\dfrac{6}{7} \cdot \dfrac{9+2}{12}=\dfrac{6}{7} \cdot \dfrac{11}{12}=\dfrac{6 \cdot 11}{7 \cdot 6 \cdot 2}=\dfrac{11}{7 \cdot 2}=\dfrac{11}{14};$

Answer 2

Ответ:

11/14

Пошаговое объяснение:

6/7*(3/4+2/9:4/3)

6/7*(3/4+2/9*3/4)

6/7(3/4+1/3*1/2)

6/7*11/12

1/7*11/2=11/4