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