Final answer:
By converting the mixed numbers to improper fractions and dividing the total fabric by the fabric needed for the skirt, we find that Connie can make 6 skirts with 10 1/2 yards of fabric.
Step-by-step explanation:
Connie needs 1 3/4 yards of fabric to make one skirt. She bought 10 1/2 yards of fabric. To determine how many skirts Connie can make, we divide the total amount of fabric she bought by the amount needed for one skirt.
First, let's convert the mixed numbers to improper fractions:
- 1 3/4 yards = 7/4 yards
- 10 1/2 yards = 21/2 yards
Now we can divide:
(21/2 yards) ÷ (7/4 yards) = (21 × 4) ÷ (2 × 7) = 84 ÷ 14 = 6
Thus, Connie can make 6 skirts with the fabric she purchased.