A bag of popcorn contains 13 1/3 ounces. Your friend eats 1/4 of the bag. How many ounces did he eat?(2 points)

Question

Responses

6 2/3 ounces

3 1/3 ounces

4 1/3 ounces


1/4 ounces

Answer 1

To find out how many ounces your friend ate, we need to calculate 1/4 of the total amount in the bag, which is 13 1/3 ounces.

First, convert 13 1/3 ounces to an improper fraction:

\( 13 \frac{1}{3} = \frac{13 \times 3 + 1}{3} = \frac{39 + 1}{3} = \frac{40}{3} \) ounces.

Now, calculate 1/4 of this amount:

\[ \frac{1}{4} \times \frac{40}{3} = \frac{40}{12} = \frac{10}{3} \text{ ounces}. \]

Now, convert \(\frac{10}{3}\) to a mixed number:

\(\frac{10}{3} = 3 \frac{1}{3} \text{ ounces}.\)

So, your friend ate 3 1/3 ounces.