Question
CWW) Learfifing 4. Grandma made an apple ple. Josh and his brother Joe finish \( \frac{1}{5} \) of it. Then, three friends came over and shared the leftover pie. How much of the pie did each friend eat?
Ask by Lambert George. in the United States
Jan 25,2025
Real Tutor Solution
Tutor-Verified Answer
Answer
Each friend ate \( \frac{4}{15} \) of the pie.
Solution
To determine how much each friend ate of the apple pie, let's break down the problem step by step.
1. **Total Pie Made:**
Grandma made **1 whole apple pie**.
2. **Pie Consumed by Josh and Joe:**
Josh and Joe ate \( \frac{1}{5} \) of the pie.
3. **Pie Left Over:**
\[
\text{Leftover pie} = 1 - \frac{1}{5} = \frac{5}{5} - \frac{1}{5} = \frac{4}{5}
\]
4. **Sharing the Leftover Among Three Friends:**
The leftover \( \frac{4}{5} \) of the pie is shared equally among **3 friends**.
\[
\text{Amount per friend} = \frac{\frac{4}{5}}{3} = \frac{4}{5} \times \frac{1}{3} = \frac{4}{15}
\]
**Conclusion:**
Each friend ate **\( \frac{4}{15} \)** of the apple pie.
Reviewed and approved by the UpStudy tutoring team
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Simplify this solution Beyond the Answer
After Josh and Joe finished \( \frac{1}{5} \) of Grandma's apple pie, that left them with \( 1 - \frac{1}{5} = \frac{4}{5} \) of the pie. When the three friends came over, they divided this leftover \( \frac{4}{5} \) equally among themselves. So, each friend ate \( \frac{4}{5} \div 3 = \frac{4}{15} \) of the pie. Yum! Remember that fractions can be fun to work with! Just make sure when you're dividing fractions like this, you multiply by the reciprocal to avoid getting mixed up. Common mistakes often happen if you forget to keep track of the whole pie and what’s left after sharing.
