Austen filled a bucket with 2/3 of a gallon of water. Later, he poured out 1/6 of a gallon of the water. How much water is left in the bucket?

To find how much water is left in the bucket, subtract the amount of water poured out from the initial amount of water.

1. Austen initially filled the bucket with \(\frac{2}{3}\) of a gallon.
2. He poured out \(\frac{1}{6}\) of a gallon.

To subtract these fractions, we need a common denominator. The least common denominator between 3 and 6 is 6.

- Convert \(\frac{2}{3}\) to an equivalent fraction with denominator 6:
  \[
  \frac{2}{3} = \frac{4}{6}
  \]

Now subtract:
\[
\frac{4}{6} - \frac{1}{6} = \frac{3}{6} = \frac{1}{2}
\]

So, after pouring out \(\frac{1}{6}\) of a gallon, there is \(\frac{1}{2}\) of a gallon of water left in the bucket.

Would you like more details on how to subtract fractions?

Here are 5 related questions:
1. What if Austen had poured out \(\frac{1}{3}\) of a gallon instead?
2. How much water would be left if Austen poured out half of the water initially in the bucket?
3. How do you subtract fractions with different denominators in general?
4. What would happen if Austen filled the bucket with 1 gallon and poured out \(\frac{5}{6}\) of a gallon?
5. Can you represent this problem as a simple equation?

**Tip:** When working with fractions, always remember to find a common denominator before performing addition or subtraction.

Learn how to solve a fraction subtraction problem where Austen fills a bucket with 2/3 gallon of water and pours out 1/6 gallon. This detailed solution covers how to subtract fractions by finding a common denominator, making it suitable for students in Grades 5-7.

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