Final answer:
Brenda can cut her 3 yards of fabric into 6 pieces that are each a half-yard long, as one yard is equal to 3 feet, and a half-yard is equal to 1.5 feet.
Step-by-step explanation:
Brenda has 3 yards of fabric and needs to cut it into pieces that are each ½ (one-half) a yard long. Knowing that 1 yard is equal to 3 feet, we can relate feet to yards to find out how many half-yard pieces can be cut from 3 yards of fabric.
Firstly, let's establish the conversion between yards and feet: 1 yd = 3 ft. Since Brenda needs to cut her fabric into half-yard pieces and we know that a half-yard is equivalent to 1.5 feet (3/2 feet), we can calculate how many half-yard pieces can be made from 3 yards.
Now we perform the calculation: Brenda has 3 yards × 3 feet/yard = 9 feet of fabric in total. Each piece is 1.5 feet long. Therefore, she can make 9 feet ÷ 1.5 feet per piece = 6 pieces of fabric. Brenda can cut her fabric into 6 pieces that are each a half-yard long.