Simplify the following:
5/6×9-8
5/6×9 = (5×9)/6:
(5×9)/6-8
The gcd of 9 and 6 is 3, so (5×9)/6 = (5 (3×3))/(3×2) = 3/3×(5×3)/2 = (5×3)/2:
(5×3)/2-8
5×3 = 15:
15/2-8
Put 15/2-8 over the common denominator 2. 15/2-8 = 15/2+(2 (-8))/2:
15/2+(2 (-8))/2
2 (-8) = -16:
15/2+-16/2
15/2-(16)/2 = (15-16)/2:
(15-16)/2
15-16 = -(16-15):
-(16-15)/2
| 1 | 6
- | 1 | 5
| 0 | 1:
Answer: |
| (-1)/2
