Question

1) 4 целых 5/7: (-5 целых 3/4)- 5 целых 3/4 : 3 целых 1/2 2) 3 целых 2/3 * 5/13+3 целых 1/13: (-1 целых 2/3) 3) 8/9 -(4 целых 2/7- 3 целых 1/7: 1 целая 1/2

Answer 1

1)
$4 \frac{5}{7}:(-5 \frac{3}{4})-5 \frac{3}{4}:3 \frac{1}{2} =- \frac{33*4}{7*23}- \frac{23*2}{4*7}= \\ \\ =- \frac{132}{161}- \frac{23}{14} = \frac{-264-529}{322}=- \frac{793}{322}=-2 \frac{149}{322}$

2)
$3 \frac{2}{3}* \frac{5}{13}+3 \frac{1}{13}:(-1 \frac{2}{3})= \frac{11*5}{3*13}- \frac{40*3}{13*5}= \\ \\ = \frac{55}{39}- \frac{24}{13}= \frac{55-72}{39}=- \frac{17}{39}$

3)
$\frac{8}{9}-(4 \frac{2}{7} -3 \frac{1}{7} : 1\frac{1}{2}) = \frac{8}{9}-(4 \frac{2}{7}- \frac{22*2}{7*3})= \\ \\ = \frac{8}{9}- \frac{30}{7} + \frac{44}{21} = \frac{56-270+132}{63}= -\frac{82}{63}= -1\frac{19}{63}$