Question

1)4 1/8-2 1/4x(1 1/3:2 1/4+2)

2)(5/18 - 7/12 x 1/2) : 5/18-2/3

Answer 1

1
1)1 1/3:2 1/4=4/3*4/9=16/27
2)16/27+2=2 16/27
3)2 1/4*2 16/27=9/4*70/27=(1*35)/(2*3)=35/6=5 5/6
4)4 1/8-5 5/6=4 3/24-5 20/24=-1 17/24
2
1)7/12*1/2=7/24
2)5/18-7/24=20/72-21/72=-1/72
3)-1/72:5/18=-1/72*18/5=-1/20
4)-1/20-2/3=-3/60-40/60=-43/60

Answer 2

4 1/8-2 1/4×(1 1/3÷2 1/4+2) = - 1 17/24
1) 1 1/3 ÷2 1/4 = 4/3 ÷ 9/4 =4/3  ×  4/9 =  16/27
2)16/27 + 2 = 2 16/27
3)2 1/4 × 2 16/27 = 9/4  ×  70/27 =  35/6 = 5 5/6
4)4 1/8 - 5 5/6 =33/8  -  35/6 = (33 × 3  -  35 × 4)/24 = 99/24 - 140/24 =  - 41/24 = - 1 17/24

(5/18 - 7/12 ×1/2) ÷ 5/18-2/3 = - 43/60
1)7/12 × 1/2 = 7/24
2) 5/18 - 7/24 = (5 × 4  -  7 × 3)/72 =20/72  -  21/72 =  - 1/72
3) - 1/72 ÷ 5/18 = - 1/72  ×  18/5 =  - 1/20
4) - 1/20 - 2/3 = (-1 × 3  -  2 × 20)/60 = (-3  -  40)/60 =  - 43/60