Final answer:
To find out how many 5/9-yard strands Nevin can cut from 25/2 yards of wire, divide the total wire length by the length of each strand. The exact calculation is (25/2) / (5/9), which is equal to 22.5. Nevin can cut 22 full strands with leftover wire.
Step-by-step explanation:
To determine how many strands of 5/9 of a yard can be cut from 25/2 yards of wire, we can divide the total length of wire by the length of each strand:
- Convert 25/2 yards to an improper fraction if necessary. It's already in this form, so we can keep it as is.
- Perform the division by multiplying the total length of wire by the reciprocal of the length of each strand. The calculation will look like this: (25/2) yards / (5/9) yards per strand.
- Simplify the multiplication: (25/2) * (9/5), which equals (225/10) or 22.5 strands.
Since we can't have a fraction of a strand, Nevin can only cut 22 full strands of wire, and there would be a leftover piece of wire.