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9/10 - 1 1/2 - (-3 2/5)

 Nov 6, 2015

Best Answer 

 #1
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+10

Simplify the following:
9/10-(1+1/2)-(-(3+2/5))

(-1)^2 = 1:
9/10-(1+1/2)+3+2/5

Put 1+1/2 over the common denominator 2. 1+1/2  =  2/2+1/2:
9/10-2/2+1/2+3+2/5

2/2+1/2  =  (2+1)/2:
9/10-(2+1)/2+3+2/5

2+1 = 3:
9/10-3/2+3+2/5

Put 9/10-3/2+3+2/5 over the common denominator 10. 9/10-3/2+3+2/5  =  9/10+(5 (-3))/10+(10×3)/10+(2×2)/10:
9/10+(5 (-3))/10+(10×3)/10+(2×2)/10

5 (-3)  =  -15:
9/10+-15/10+(10×3)/10+(2×2)/10

10×3  =  30:
9/10-15/10+30/10+(2×2)/10

2×2  =  4:
9/10-15/10+30/10+4/10

9/10-(15)/10+30/10+4/10  =  (9-15+30+4)/10:
(9-15+30+4)/10

| 1 |
| 3 | 0
|  | 9
+ |  | 4
| 4 | 3:
43-15/10

| 3 | 13
| 4 | 3
- | 1 | 5
| 2 | 8:
28/10

The gcd of 28 and 10 is 2, so 28/10 = (2×14)/(2×5) = 2/2×14/5 = 14/5:
Answer: | 
| 14/5

 Nov 6, 2015
 #1
avatar
+10
Best Answer

Simplify the following:
9/10-(1+1/2)-(-(3+2/5))

(-1)^2 = 1:
9/10-(1+1/2)+3+2/5

Put 1+1/2 over the common denominator 2. 1+1/2  =  2/2+1/2:
9/10-2/2+1/2+3+2/5

2/2+1/2  =  (2+1)/2:
9/10-(2+1)/2+3+2/5

2+1 = 3:
9/10-3/2+3+2/5

Put 9/10-3/2+3+2/5 over the common denominator 10. 9/10-3/2+3+2/5  =  9/10+(5 (-3))/10+(10×3)/10+(2×2)/10:
9/10+(5 (-3))/10+(10×3)/10+(2×2)/10

5 (-3)  =  -15:
9/10+-15/10+(10×3)/10+(2×2)/10

10×3  =  30:
9/10-15/10+30/10+(2×2)/10

2×2  =  4:
9/10-15/10+30/10+4/10

9/10-(15)/10+30/10+4/10  =  (9-15+30+4)/10:
(9-15+30+4)/10

| 1 |
| 3 | 0
|  | 9
+ |  | 4
| 4 | 3:
43-15/10

| 3 | 13
| 4 | 3
- | 1 | 5
| 2 | 8:
28/10

The gcd of 28 and 10 is 2, so 28/10 = (2×14)/(2×5) = 2/2×14/5 = 14/5:
Answer: | 
| 14/5

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