https://file.aiquickdraw.com/mathbot/file/1728925597042pfnd36db.jpg

Let's break down the problem step by step:

1. **Rosanne makes 1 1/2 liters of lemonade**:
   - This is a mixed number, so we convert it to an improper fraction:  
   \( 1 \frac{1}{2} = \frac{3}{2} \) liters.

2. **She pours 1/4 of a liter into a thermos**:
   - The amount of lemonade left after this is:
   \[
   \frac{3}{2} - \frac{1}{4}
   \]
   To subtract these fractions, first convert them to have a common denominator:
   \[
   \frac{3}{2} = \frac{6}{4}
   \]
   Now subtract:
   \[
   \frac{6}{4} - \frac{1}{4} = \frac{5}{4}
   \]
   So, \( \frac{5}{4} \) liters of lemonade remains.

3. **Her brother drinks 2/5 of the remaining lemonade**:
   - The remaining lemonade is \( \frac{5}{4} \), and her brother drinks \( \frac{2}{5} \) of that.
   - Multiply the remaining lemonade by \( \frac{2}{5} \):
   \[
   \frac{2}{5} \times \frac{5}{4} = \frac{10}{20} = \frac{1}{2}
   \]
   So, her brother drinks \( \frac{1}{2} \) liters of lemonade.

### Answer:
Rosanne's brother drinks **1/2 liters** of lemonade.

Let me know if you'd like more details or if you have further questions! Here are 5 related questions you can explore:

1. How do you convert a mixed number to an improper fraction?
2. How do you subtract fractions with different denominators?
3. What is the process of multiplying two fractions?
4. How can you simplify fractions after multiplication?
5. What are other ways to represent the fraction \( \frac{1}{2} \)?

**Tip:** Always remember to find a common denominator when adding or subtracting fractions!

Rosanne makes 1 1/2 liters of strawberry lemonade. She pours 1/4 of a liter of lemonade into a thermos to take to the park. Her brother drinks 2/5 of the remaining lemonade. How much lemonade does Rosanne's brother drink?

Solve this fraction word problem involving Rosanne's lemonade. Learn how to subtract and multiply fractions, convert mixed numbers, and determine how much lemonade her brother drinks. Suitable for Grades 5-6.

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