Simplify the following:
(-4)/3^2-4 (1/6-1/2)
3^2 = 9:
(-4)/9-4 (1/6-1/2)
Put 1/6-1/2 over the common denominator 6. 1/6-1/2 = 1/6-(3)/6:
(-4)/9-4 1/6-(3)/6
1/6-(3)/6 = (1-3)/6:
(-4)/9-4 (1-3)/6
1-3 = -2:
(-4)/9-4×-2/6
The gcd of -2 and 6 is 2, so (-2)/6 = (2 (-1))/(2×3) = 2/2×(-1)/3 = (-1)/3:
(-4)/9-4×(-1)/3
(-1)^2 = 1:
(-4)/9+4 1/3
Put (-4)/9+4/3 over the common denominator 9. (-4)/9+4/3 = (-4)/9+(3×4)/9:
(-4)/9+(3×4)/9
3×4 = 12:
(-4)/9+12/9
(-4)/9+12/9 = (-4+12)/9:
(-4+12)/9
-4+12 = 8:
Answer: |
| 8/9
