Question

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

1853
18 over 53

1734
17 and 3 fourths

834

Answer 1

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**

Answer 2

Heather bought a carton of laundry detergent that contains 195 ounces. Each load of laundry uses 2 1/2
ounces. How many loads of laundry can Heather complete with one carton of detergent?(1 point)
Responses

0.01 loads
0.01 loads

192.5 loads
192.5 loads

76 loads
76 loads

78 loads

Answer 3

To find out how many loads of laundry Heather can complete with one carton of detergent, we need to divide the total ounces of detergent by the amount used per load.

Heather has 195 ounces of detergent and uses \( 2 \frac{1}{2} \) ounces per load. First, let's convert \( 2 \frac{1}{2} \) ounces into an improper fraction:

\[
2 \frac{1}{2} = \frac{5}{2} \text{ ounces}
\]

Now, we can set up the division:

\[
\text{Number of loads} = \frac{195 \text{ ounces}}{\frac{5}{2} \text{ ounces/load}}
\]

To divide by a fraction, we multiply by its reciprocal:

\[
\text{Number of loads} = 195 \times \frac{2}{5}
\]

Now, let's perform the multiplication:

\[
195 \times \frac{2}{5} = \frac{195 \times 2}{5} = \frac{390}{5} = 78
\]

So, Heather can complete **78 loads** of laundry with one carton of detergent.

The correct response is:

**78 loads**.