To solve the problem, we need to determine how much fabric Joanne will use for each costume. Since she has a total amount of fabric and is making multiple costumes, we will use division.
Question 1: Which operation will you use?
The correct response is Division.
Question 2: How many yards of fabric will Joanne use for each costume?
To find out how many yards of fabric are used for each costume, we need to divide the total amount of fabric by the number of costumes:
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Convert 13 1/4 yards to an improper fraction: \[ 13 \frac{1}{4} = \frac{53}{4} \text{ yards} \]
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Divide by the number of costumes (4.5): \[ 4.5 = \frac{9}{2} \]
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To divide fractions, multiply by the reciprocal: \[ \frac{53}{4} \div \frac{9}{2} = \frac{53}{4} \times \frac{2}{9} = \frac{53 \times 2}{4 \times 9} = \frac{106}{36} \]
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Simplify: \[ \frac{106}{36} = \frac{53}{18} \]
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Convert to a mixed number: \[ 53 \div 18 = 2 \quad \text{remainder: } 17 \] \[ \text{So, } \frac{53}{18} = 2 \frac{17}{18} \]
The correct response is 2 17/18.
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