First you need to solve the fountain in brackets,and climate you just add or subtract in common order native left come the right....so the final solution come this would certainly be 13/18


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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 that 4 and also 6 is 2, for this reason 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

10-12 = -(12-10): -(12-10)/18

2/18 = 2/(2×9) = 1/9: Answer: | (-1)/9


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