a piece of rope 11/12 yd long is cut into two pieces. One piece is 4/7 yd long. How long is the other piece?

(4/7) + x = (11/12)

(11/12) - (4/7) = x

We need to convert BOTH denominators to 84

(11/12) * 7 = 77 / 84

(4 / 7) * 12 = 48 / 84

77 / 84 - (48 / 84) = 29 / 84

29/84 yd

Convert 11/12 and 4/7 so that they have the same denominator. 11/12 becomes 77/84 and 4/7 becomes 48/84. Subtract 77/84 and 48/84 to get 29/84 and since you cannot simplify it anymore that it your answer