Question

Помогите решить по действиям!
18×(11/12 - 8/9) : (5/4 + 2/7)=?
11/12, 8/9, 5/4, 2/7 - это дроби.

Answer 1

1)11/12-8/9=33/36-32/36=1/36

2)5/4+2/7=35/28+8/28=1 15/28

3)18×1/36=1/2

4)1/2:1 15/28=1/2×28/43=14/43

Ответ:14/43

Answer 2

$18\cdot (\frac{11}{12}-\frac{8}{9})\div(\frac{5}{4} + \frac{2}{7})=\bf \frac{14}{43} \\ \\ 1)\frac{{11}^{(\cdot6}}{12} - \frac{{8}^{( \cdot 8}}{9}=\frac{66}{72} - \frac{64}{72} = \frac{66-64}{72} = \frac{{2}^{(\div 2}}{72} = \bf \frac{1}{36} \\ \\ 2)\frac{5^{ ( \cdot 7}}{4} + \frac{{2}^{(\cdot 4}}{7} = \frac{35}{28} + \frac{8}{28} = \frac{35+8}{28}=\bf \frac{43}{28}= 43 \div 28 = 1\frac{15}{28} \\ \\ 3)18 \cdot \frac{1}{36} = \frac{18 \cdot 1}{36} = \frac {{18}^{(\div 6}}{36}= \frac{{3}^{(\div 3}}{6} =\bf \frac{1}{2} \\ \\ 4)\frac{1}{2}\div \frac{43}{28} = \frac{1}{2} \cdot \frac{28}{43} = \frac{1 \cdot 14}{1\cdot 43} =\bf \frac{14}{43}$