Question

Consider the problem.

Joanne has 13 1/4
yd of fabric to make 4.5 costumes. How many yards of fabric will Joanne use for each costume?

Which operation will you use?

(1 point)
Responses

Addition
Addition

Subtraction
Subtraction

Multiplication
Multiplication

Division
Division
Question 2
Joanne has 13 1/4
yd of fabric to make 4.5 costumes. How many yards of fabric will Joanne use for each costume?(1 point)
Responses

2 17/18
2 and 17 over 18

18/53
18 over 53

17 3/4
17 and 3 fourths

8 3/4
8 and 3 fourths
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Answer 1

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:

1. Convert 13 1/4 yards to an improper fraction:
\[
13 \frac{1}{4} = \frac{53}{4} \text{ yards}
\]

2. Divide by the number of costumes (4.5):
\[
4.5 = \frac{9}{2}
\]

3. To divide fractions, multiply by the reciprocal:
\[
\frac{53}{4} \div \frac{9}{2} = \frac{53}{4} \times \frac{2}{9} = \frac{53 \times 2}{4 \times 9} = \frac{106}{36}
\]

4. Simplify:
\[
\frac{106}{36} = \frac{53}{18}
\]

5. 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**.