To find out how many yards of fabric Joanne will use for each costume, you can divide the total amount of fabric she has by the number of costumes she is making.
Joanne has 13 1/4 yards of fabric, which can be converted to an improper fraction:
\[ 13 \frac{1}{4} = \frac{53}{4} \]
Now, we need to divide this by 4.5, which can also be converted to an improper fraction:
\[ 4.5 = \frac{9}{2} \]
Now, we can set up the division:
\[ \frac{53}{4} \div \frac{9}{2} \]
To divide by a fraction, you multiply by its reciprocal:
\[ \frac{53}{4} \times \frac{2}{9} \]
Now, perform the multiplication:
\[ \frac{53 \times 2}{4 \times 9} = \frac{106}{36} \]
Next, simplify the fraction:
\[ \frac{106 \div 2}{36 \div 2} = \frac{53}{18} \]
Now, we can convert \(\frac{53}{18}\) back to a mixed number:
\[ 53 \div 18 = 2 \quad \text{(with a remainder of 17)} \]
Thus,
\[ \frac{53}{18} = 2 \frac{17}{18} \]
So, the amount of fabric Joanne will use for each costume is:
2 17/18 yards
So the correct response is:
2 17/18