Check for parathesis in the problems. If they are present, then solve them first.
Question is:
1/2 + [(2/3)/(3/4)] - [(4/5)(5/6)]
Answer is:
1/2+[(2/3) x (4/3)] - [(4/5) x (5/6)],
1/2+(8/9) - [(4/5) x (5/6)],
1/2+(8/9) - (2/3). Now take the LCM, which is 18. So, the above equation becomes:
(9 + 16 - 12) ÷ (18), which gives the final answer: 13 / 18.
(2/3)/(3/4) = (2/3)*(4/3) = (2*4)/(3*3) = 8/9.
(4/5)*(5/6) = 4/6 (the 5 cancels) = 2/3.
So we have 1/2 + 8/9 - 2/3
= 9/18 + 16/18 - 12/18
= (9 + 16 - 12)/18
= 13/18
[these things always look harder than they are because of needing to use brackets and / when typing fractions on 'Yahoo answers'. Write it out without the brackets and with fractions written numerator OVER denominator instead of numerator/denominator. Then it will come clear (-:]