Multiply:
3 1/2 * 2/3 = 7/2 * 2/3 = 14/6 = 7/3 = 2 1/3
3 1/2 * 2/3 = 7/2 * 2/3 = 14/6 = 7/3 = 2 1/3
Step 1: Convert the mixed number 3 1/2 to an improper fraction.
3 1/2 can be written as 7/2.
Step 2: Multiply the total fabric (7/2 yards) by the fraction used (2/3).
7/2 * 2/3 = (7 * 2) / (2 * 3) = 14/6.
Step 3: Simplify the fraction if possible.
14/6 can be simplified as 7/3.
So, Ms. Daza used 7/3 yards of fabric to make the costume.
First, we need to convert the mixed number 3 1/2 to an improper fraction. To do this, we multiply the whole number (3) by the denominator of the fraction (2), then add the numerator (1). This gives us: 3 * 2 + 1 = 7. So, 3 1/2 is equal to 7/2.
Next, we multiply the amount of fabric Ms. Daza bought (7/2) by the fraction used for the costume (2/3). To multiply fractions, we multiply the numerators together and the denominators together. This gives us: 7/2 * 2/3 = (7 * 2) / (2 * 3) = 14/6.
However, it is preferable to simplify the fraction. Both 14 and 6 are divisible by 2, so we can reduce the fraction by dividing both the numerator and denominator by 2. This gives us: 14/6 = 7/3.
Therefore, Ms. Daza used 7/3 yards of fabric to make the costume.