Simplify the following:
2+2/5-(1+1/3)+3+1/2
Put 1+1/3 over the common denominator 3. 1+1/3 = 3/3+1/3:
2+2/5-3/3+1/3+3+1/2
3/3+1/3 = (3+1)/3:
2+2/5-(3+1)/3+3+1/2
3+1 = 4:
2+2/5-4/3+3+1/2
Put 2+2/5-4/3+3+1/2 over the common denominator 30. 2+2/5-4/3+3+1/2 = (30×2)/30+(6×2)/30+(10 (-4))/30+(30×3)/30+15/30:
(30×2)/30+(6×2)/30+(10 (-4))/30+(30×3)/30+15/30
30×2 = 60:
60/30+(6×2)/30+(10 (-4))/30+(30×3)/30+15/30
6×2 = 12:
60/30+12/30+(10 (-4))/30+(30×3)/30+15/30
10 (-4) = -40:
60/30+12/30+-40/30+(30×3)/30+15/30
30×3 = 90:
60/30+12/30-40/30+90/30+15/30
60/30+12/30-(40)/30+90/30+15/30 = (60+12-40+90+15)/30:
(60+12-40+90+15)/30
| 9 | 0
| 6 | 0
| 1 | 5
+ | 1 | 2
1 | 7 | 7:
177-40/30
| 1 | 7 | 7
- | | 4 | 0
| 1 | 3 | 7:
Answer: | 137/30=4 17/30
