A rope 3/4 yard long is cut into 9 pieces. Each piece is the same length. how long is each piece?

3/4 * 36 = 27 inches

27/9 = ______ inches

To find the length of each piece, we need to divide the total length of the rope by the number of pieces.

The total length of the rope is given as 3/4 yard. To divide it into 9 equal pieces, we divide the total length by the number of pieces:

(3/4 yard) ÷ 9 = (3/4) ÷ (9/1)

To divide fractions, we multiply the first fraction by the reciprocal of the second fraction:

(3/4) ÷ (9/1) = (3/4) × (1/9)

Now, we multiply the numerators and denominators:

(3 × 1) / (4 × 9) = 3/36

We can simplify this fraction by dividing both the numerator and the denominator by their greatest common divisor, which is 3:

3/36 = (3 ÷ 3) / (36 ÷ 3) = 1/12

Therefore, each piece of the rope is 1/12 yard long.