Final answer:
Connie can make 3 skirts from 10 1/2 yards of fabric if each skirt requires 1 3/4 yards.
Step-by-step explanation:
To determine how many skirts Connie can make from 10 1\/2 yards of fabric, when each skirt requires 1 3\/4 yards of fabric, we need to divide the total amount of fabric by the amount needed for one skirt.
First, we convert the mixed numbers to improper fractions. For 10 1\/2 yards, we have (10 × 2) + 1 over 2, which is 21\/2. For 1 3\/4 yards, we have (1 × 4) + 3 over 4, which is 7\/4. Now we divide 21\/2 by 7\/4.
To divide fractions, we multiply by the reciprocal of the divisor: 21\/2 × 4\7; 2 in 21\/2 and 2 in 4\7 cancel out, leaving us with 21 × 1\/7. Multiplied out we get 21 × 1\7 = 3. This means Connie can make 3 skirts from the fabric she bought.