Final answer:
After subtracting the 3 2/3 yards of material used for the larger dress from the total 6 1/3 yards of material, Mrs. Rodriguez will have 2 2/3 yards of material left for the smaller dress.
Step-by-step explanation:
The question asks us to determine how much material Mrs. Rodriguez will have left for the smaller dress after using some to make the larger one.
She has a total of 6 1/3 yards of material and the larger dress requires 3 2/3 yards. To find the remaining material, we subtract the material used for the larger dress from the total amount.
Convert mixed numbers to improper fractions:
6 1/3 = (6 × 3 + 1)/3 = 19/3 yards
3 2/3 = (3 × 3 + 2)/3 = 11/3 yards
Subtract the fractions:
(19/3) - (11/3) = 8/3 yards
Convert the improper fraction back to a mixed number:
8/3 = 2 2/3 yards
Therefore, Mrs. Rodriguez will have 2 2/3 yards of material left for the smaller dress.