To determine how many yards of fabric Joanne will use for each costume, you need to divide the total amount of fabric by the number of costumes.
So, the appropriate operation is:
Division
Now to solve the problem:
Joanne has \( 13 \frac{1}{4} \) yards of fabric, which can be converted to an improper fraction:
\[ 13 \frac{1}{4} = \frac{53}{4} \text{ yards} \]
She is making 4.5 costumes, which can also be expressed as:
\[ 4.5 = \frac{9}{2} \text{ costumes} \]
Now, to find out how much fabric is used for each costume, we will divide the total yards of fabric by the number of costumes:
\[ \text{Fabric per costume} = \frac{\frac{53}{4}}{\frac{9}{2}} \]
When dividing fractions, you can multiply by the reciprocal:
\[ = \frac{53}{4} \times \frac{2}{9} = \frac{53 \times 2}{4 \times 9} = \frac{106}{36} \]
Now, simplifying \( \frac{106}{36} \):
\[ = \frac{53}{18} \]
Now we convert \( \frac{53}{18} \) to a mixed number:
- 18 goes into 53 twice (as \( 2 \times 18 = 36 \)).
- The remainder is \( 53 - 36 = 17 \).
So, \( \frac{53}{18} = 2 \frac{17}{18} \).
Thus, Joanne will use:
2 and 17 over 18 yards of fabric for each costume.
So the answer to Question 2 is:
2 and 17 over 18
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