4 : (5 1/3+ 2 2/3); (-8 1/12 + 6 1/4) • 3; 3/7 • (-4 2/3):(-1/2); (3 3/2 - 1 2/7 • 5...

Question

4 : (5 1/3+ 2 2/3); (-8 1/12 + 6 1/4) • 3;
3/7 • (-4 2/3):(-1/2); (3 3/2 - 1 2/7 • 5 4/9):(-2,5).

Answer 1

1)4:(51/3+22/3)= 4:73/3=4*73/3=12/73
2)(-81/12+61/4)*3=113/8*3=339/8=42.375
3)3/7*(-42/3):(-1/2)=6*2=12
4)(33/2-12/7*54/9):(-2,5)=(33/2-12/7*6):(-5/2)=(33/2-72/7):(-5/2)=87/14:(-5/2)=-87/14*2/5=-87/7*1/5=-87/35

Answer 2

I)4÷(51/3+22/3)=4÷((51+22)/3)=4/(73/3)=4/1÷73/3=4/1·3/73=12/73
II)(-81/12+61/4)·3=(-81·3/12)+(61·3/4)=(-243/12)+(183/4)=(-243/12)+(183·3/4·3)=(-243/12)+(549/12)=(-243+549)/12=306/12=51/2=25,5
III)3/7·(-42/3)÷(-1/2)=(-6/1)÷(-1/2)=(-6/1)·(-2/1)=6·2=12
IV)(33/2-12/7·54/9)÷(-2,5)=
1)12/7·54/9=4/7·54/3=216/21=72/7
2)(33/2-72/7)=33·7/2·7-72·2/7·2=231/14-144/14=187/14
187/14÷(-2,5)=187/14÷(-20/10)=187/14·(-10/20)=93,5/2,8·2/10=18,7/1,4·1/2=9,35/1,4=6,67857142857=6,67857=6,7