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

21718
2 and 17 over 18

1853
18 over 53

1734
17 and 3 fourths

834
8 and 3 fourths
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Answer 1

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**