Question
there are 2 2/3 pounds of cheese each batch of soup uses 2/3 pound of cheese how many batches of soup can manuel make
Answers
GPT-4o mini
To determine how many batches of soup Manuel can make with 2 2/3 pounds of cheese, we first need to convert 2 2/3 to an improper fraction.
1. Convert 2 2/3 to an improper fraction:
\[
2 \times 3 + 2 = 6 + 2 = 8
\]
So, \(2 \frac{2}{3} = \frac{8}{3}\).
2. Each batch of soup uses \(\frac{2}{3}\) pound of cheese.
3. To find the number of batches, we divide the total amount of cheese by the amount of cheese used per batch:
\[
\text{Number of batches} = \frac{\frac{8}{3}}{\frac{2}{3}}
\]
4. Dividing fractions involves multiplying by the reciprocal:
\[
\frac{8}{3} \div \frac{2}{3} = \frac{8}{3} \times \frac{3}{2} = \frac{8 \times 3}{3 \times 2} = \frac{8}{2} = 4
\]
Thus, Manuel can make **4 batches of soup**.
1. Convert 2 2/3 to an improper fraction:
\[
2 \times 3 + 2 = 6 + 2 = 8
\]
So, \(2 \frac{2}{3} = \frac{8}{3}\).
2. Each batch of soup uses \(\frac{2}{3}\) pound of cheese.
3. To find the number of batches, we divide the total amount of cheese by the amount of cheese used per batch:
\[
\text{Number of batches} = \frac{\frac{8}{3}}{\frac{2}{3}}
\]
4. Dividing fractions involves multiplying by the reciprocal:
\[
\frac{8}{3} \div \frac{2}{3} = \frac{8}{3} \times \frac{3}{2} = \frac{8 \times 3}{3 \times 2} = \frac{8}{2} = 4
\]
Thus, Manuel can make **4 batches of soup**.