Use the information to answer the question.

Question

Information
Mr. Plati's class has 3 and 1-half quarts of paint. They use 2 thirds of the paint for a mural.

Question
How many quarts of paint did the class use for the mural? Move numbers to the boxes to show the answer. If there is no whole number, put a 0 in the first box.

Response area with 3 blank spaces
Blank space 2 empty

Blank space 3 empty

Blank space 4 empty

quarts


Answer options with 16 options.
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Answer 1

To determine how many quarts of paint Mr. Plati's class used for the mural, we need to calculate \( \frac{2}{3} \) of 3 and 1/2 quarts of paint.

First, convert 3 and 1/2 quarts to an improper fraction:

• 3 and 1/2 = \( \frac{7}{2} \) quarts (since \( 3 \times 2 + 1 = 7 \)).

Now, multiply \( \frac{2}{3} \) by \( \frac{7}{2} \): \[ \frac{2}{3} \times \frac{7}{2} = \frac{2 \times 7}{3 \times 2} = \frac{14}{6} = \frac{7}{3}. \]

Now we divide to find out how much \( \frac{7}{3} \) is in terms of quarts: \[ \frac{7}{3} = 2 \frac{1}{3} \text{ quarts}. \]

This means the class used \( 2 \frac{1}{3} \) quarts of paint for the mural.

To fill in the response area:

• The whole number part is 2.
• The fraction part (1/3) does not convert to a whole number for the purpose of filling in the boxes.

So, the answer in the response area will be:

• Blank space 2: 2
• Blank space 3: 0 (for whole part)
• Blank space 4: 0 (for the remaining fraction part)

Thus, the answer is:

Blank space 2: 2
Blank space 3: 0
Blank space 4: 0

The final output for the amount used is:

2 0 0 quarts