First you have to solve the fractions in brackets,and then you just add or subtract in normal order from left to the right....so the final solution to this would be 13/18
1/2+ (2/3 / 3/4) - (4/5 * 5/6)=
Simplify the following:
1/2+((2/3)/3)/4-4/5×5/6
(2/3)/3 = 2/(3×3):
1/2+2/(3×3)/4-4/5×5/6
4/5×5/6 = (4×5)/(5×6):
1/2+2/(3×3)×1/4-(4×5)/(5×6)
2/(3×3)×1/4 = 2/(3×3×4):
1/2+2/(3×3×4)-(4×5)/(5×6)
2/4 = 2/(2×2) = 1/2:
1/2+1/(3×3×2)-(4×5)/(5×6)
(4×5)/(5×6) = 5/5×4/6 = 4/6:
1/2+1/(3×3×2)-4/6
The gcd of 4 and 6 is 2, so 4/6 = (2×2)/(2×3) = 2/2×2/3 = 2/3:
1/2+1/(3×3×2)-2/3
3×3 = 9:
1/2+1/(9×2)-2/3
9×2 = 18:
1/2+1/18-2/3
Put 1/2+1/18-2/3 over the common denominator 18. 1/2+1/18-2/3 = 9/18+1/18+(6 (-2))/18:
9/18+1/18+(6 (-2))/18
6 (-2) = -12:
9/18+1/18+-12/18
9/18+1/18-12/18 = (9+1-12)/18:
(9+1-12)/18
9+1 = 10:
10-12/18
10-12 = -(12-10):
-(12-10)/18
2/18 = 2/(2×9) = 1/9:
Answer: | (-1)/9
