The Parent-Teacher Association made 18 gallons of fruit punch for Parents' Night. Parents and teachers drank only 9 1/5 gallons altogether that night. How many gallons of fruit punch did the Parent-Teacher Association have left?

Write your answer as a fraction or as a whole or mixed number.


To find the number of gallons of fruit punch left, subtract the amount consumed from the total amount made.

1. **Total amount of fruit punch:** 18 gallons
2. **Amount consumed:** \(9 \frac{1}{5}\) gallons

First, convert \(9 \frac{1}{5}\) to an improper fraction:

\[
9 \frac{1}{5} = \frac{9 \times 5 + 1}{5} = \frac{45 + 1}{5} = \frac{46}{5}
\]

Now, subtract \(\frac{46}{5}\) from 18 gallons. Convert 18 to a fraction with the same denominator (5):

\[
18 = \frac{18 \times 5}{5} = \frac{90}{5}
\]

Now perform the subtraction:

\[
\frac{90}{5} - \frac{46}{5} = \frac{90 - 46}{5} = \frac{44}{5}
\]

Convert \(\frac{44}{5}\) back to a mixed number:

\[
\frac{44}{5} = 8 \frac{4}{5}
\]

### Answer:
The Parent-Teacher Association had **8 \(\frac{4}{5}\)** gallons of fruit punch left.

Would you like a more detailed explanation or have any other questions?

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Here are 5 related questions to explore further:

1. If 3 more gallons of fruit punch were consumed, how much would be left?
2. What fraction of the original fruit punch was consumed?
3. If the Parent-Teacher Association wanted to save half of the original punch, how much would that be in gallons?
4. How many people could each have 1 cup of fruit punch from what is left, assuming 16 cups per gallon?
5. If another event requires only 5 gallons of punch, do they have enough left?

**Tip:** When working with mixed numbers in subtraction, it often helps to convert them to improper fractions first to simplify calculations.

The Parent-Teacher Association made 18 gallons of fruit punch for Parents' Night. Parents and teachers drank only 9 1/5 gallons altogether that night. How many gallons of fruit punch did the Parent-Teacher Association have left? Write your answer as a fraction or as a whole or mixed number.

Learn how to find the remaining gallons of fruit punch after consumption. This example uses mixed numbers and fraction subtraction, ideal for Grades 5-6 students. Understand how to convert mixed numbers and perform subtraction to get the answer: 8 4/5 gallons left.

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