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what is 2(4-36) divided by -12?

 Nov 4, 2015
 #1
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Simplify the following:
2 (4-36)/(-12)

2 (4-36)/(-12) = (2 (4-36))/(-12):
(2 (4-36))/(-12)

2/(-12) = 2/(2 (-6)) = 1/(-6):
(4-36)/-6

4-36  =  -(36-4):
-(36-4)/(-6)

| 3 | 6
- |  | 4
| 3 | 2:
(-32)/(-6)

The gcd of 32 and -6 is 2, so (-32)/(-6) = (-(2×16))/(2 (-3)) = 2/2×(-16)/(-3) = (-16)/(-3):
(-16)/-3

The sign of (-16)/(-3) is positive, so (-16)/(-3)  =  1×16/3:
Answer: | 
| 16/3

 Nov 4, 2015
 #2
avatar+130536 
+5

2(4-36) divided by -12

 

2 (-32) / -12  =

 

-64 / - 12  =    the negatives "cancel"

 

64 / 12  =

 

16 / 3

 

 

cool cool cool

 Nov 4, 2015

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