Question

Выполните действия (1/4 + 2/21) * (5 1/2 - 2 1/14)
(2 11/12 * 6 + 7/48 * 8 - 11 1/3) * (7/11 - 1/2)
(15 3/14 - 7 4/35) * 1 1/9 - (2 1/6 + 1/8) * 2 2/11
(5 1/3 + 8 3/4) * 12/13 + (7 - 5 8/3) * 8
12 3/4 * 4/17 * 5 4/9 + ( 2/3 - 5/18) * 2 4/7
Решение

Answer 1

(1/4 + 2/21) * (5 1/2 - 2 1/14)=1 9/49
1) 1/4+2/21=(21+8)/84= 29/84
2) 5 1/2-2 1/14=11/2-29/14= (77-29)/14=48/14=24/7
3) 29/84*24/7=1 9/49

(2 11/12 * 6  + 7/48 * 8 - 11 1/3) * (7/11 - 1/2)= 1 7/44
1) 2 11/12*6= 35/12*6=35/2
2) 7/48*8=7/6
3) 35/2+7/6-11 1/3= 35/2+7/6-34/3=(105+14-68)/6=51/6
4) 7/11-1/2=(14-11)/22=3/22
5) 51/6*3/22=51/44=1 7/44


(15 3/14 - 7 4/35) * 1 1/9 - (2 1/6 + 1/8) * 2 2/11=4
1) 15 3/14-7 4/35=213/14-249/35=(1065-498)/70=567/70= 81/10
2) 81/10*1 1/9= 81/10*10/9=9
3) 2 1/6+1/8= 13/6+1/8=(52+3)/24=55/24
4)55/24*2 2/11= 55/24*24/11=5
5) 9-5=4

(5 1/3 + 8 3/4) * 12/13 + (7 - 5 8/3) * 8=7 2/3
1) 5 1/3+8 3/4=16/3+35/4=(64+105)/12=169/12
2) 169/12*12/13=13
3) 7-5 8/3=7-23/3=(21-23)/3= -2/3
4) -2/3*8= -16/3
5) 13-16/3=23/3=7 2/3

12 3/4 * 4/17 * 5 4/9 + ( 2/3 - 5/18) * 2 4/7= 17 1/3
1)12 3/4*4/17*5 4/9=51/4*4/17*49/9=49/3
2) 2/3-5/18=(12-5)/18=7/18
3) 7/18*2 4/7= 7/18*18/7=1
49/3+1=(49+3)/3=52/3=17 1/3