During a class party, 3 friends plan to share 7 brownies equally between each other. Each brownie is cut into 3 equal pieces, as shown.

Seven brownies cut into 3 equal pieces

How many brownies does each person get?

1 answer

To find out how many brownies each person gets, we first need to determine the total number of pieces from the 7 brownies.

Since each brownie is cut into 3 equal pieces, we can calculate the total number of pieces as follows:

\[ 7 \text{ brownies} \times 3 \text{ pieces per brownie} = 21 \text{ pieces} \]

Next, we need to divide the total number of pieces by the number of friends, which is 3:

\[ \frac{21 \text{ pieces}}{3 \text{ friends}} = 7 \text{ pieces per friend} \]

Now, we convert the pieces back into brownies. Since each brownie consists of 3 pieces, we can find out how many brownies are equivalent to 7 pieces:

\[ \frac{7 \text{ pieces}}{3 \text{ pieces per brownie}} \approx 2.33 \text{ brownies} \]

This means that each person gets approximately 2 brownies and 1 additional piece (which is \(\frac{1}{3}\) of a brownie).

Therefore, each person gets:

\[ \text{Each person gets } 2 \text{ brownies and } \frac{1}{3} \text{ of a brownie.} \]

To summarize:

Each person gets 2 and \(\frac{1}{3}\) brownies, or 7 pieces.