Question
How many gallons of lemonade would each person get if 3 people shared
6
1
of a gallon of lemonade equally? ______________ of a gallon of lemonade.
Answers
GPT-4o mini
To find out how many gallons of lemonade each person would get if 3 people share \( 6 \frac{1}{2} \) gallons equally, we first need to convert \( 6 \frac{1}{2} \) to an improper fraction.
1. Convert \( 6 \frac{1}{2} \) to an improper fraction:
\[
6 \frac{1}{2} = 6 + \frac{1}{2} = \frac{12}{2} + \frac{1}{2} = \frac{13}{2}
\]
2. Now, divide \( \frac{13}{2} \) by 3 to find out how much lemonade each person gets:
\[
\frac{13}{2} \div 3 = \frac{13}{2} \times \frac{1}{3} = \frac{13}{6}
\]
3. Converting \( \frac{13}{6} \) back to a mixed number (if desired):
\[
\frac{13}{6} = 2 \frac{1}{6}
\]
So, each person would get \( \frac{13}{6} \) gallons of lemonade, or 2 \( \frac{1}{6} \) gallons.
Thus, the answer is:
\[
\frac{13}{6} \text{ gallons of lemonade.}
\]
1. Convert \( 6 \frac{1}{2} \) to an improper fraction:
\[
6 \frac{1}{2} = 6 + \frac{1}{2} = \frac{12}{2} + \frac{1}{2} = \frac{13}{2}
\]
2. Now, divide \( \frac{13}{2} \) by 3 to find out how much lemonade each person gets:
\[
\frac{13}{2} \div 3 = \frac{13}{2} \times \frac{1}{3} = \frac{13}{6}
\]
3. Converting \( \frac{13}{6} \) back to a mixed number (if desired):
\[
\frac{13}{6} = 2 \frac{1}{6}
\]
So, each person would get \( \frac{13}{6} \) gallons of lemonade, or 2 \( \frac{1}{6} \) gallons.
Thus, the answer is:
\[
\frac{13}{6} \text{ gallons of lemonade.}
\]