Question

Melanie has a piece of cloth 12 and 1/3 yards long. How many 3/4 yard-long pieces can be cut from the cloth?

Answer 1

This is a division problem. First, get 12 1/3 into fraction form instead of mixed number form to make your life easier;

`12 (1)/(3) = (36)/(3) + (1)/(3) = (37)/(3)`
Now, divide the two fractions. Since this is fraction division, the reciprocal is flipped and the two fractions multiplied.

`(37)/(3) * (4)/(3) = (148)/(9) = 16 (4)/(9)`
The answer from the fraction division is 16 and four-ninths, but because you need a whole number as an answer,
the answer is 16 pieces.

Answer 2

Answer: 16 pieces

Explanation:

To get the number of pieces, we simply divide 12 1/3 by 3/4

12 1/3 ÷ 3/4

but 12 1/3 = 37/ 4 ( converting to improper fraction)

12 1/3 ÷ 3/4

=37/ 3 ÷ 3/4

= 37/3 × 4/3

= 148/9

= 16. 44444

= 16 approximately

Therefore we can get 16 pieces of yard from the cloth