https://file.aiquickdraw.com/mathbot/file/1726776578540gnyhnc7d.jpg

The question in the image asks how many batches of cookies Angela can make given that:

- Angela has \( 21 \frac{2}{3} \) cups of flour.
- She uses \( 2 \frac{1}{4} \) cups of flour per batch.

### Step-by-step solution:

1. **Convert the mixed numbers to improper fractions:**
   - \( 21 \frac{2}{3} \): 
     \[
     21 \frac{2}{3} = \frac{21 \times 3 + 2}{3} = \frac{63 + 2}{3} = \frac{65}{3}
     \]
   - \( 2 \frac{1}{4} \): 
     \[
     2 \frac{1}{4} = \frac{2 \times 4 + 1}{4} = \frac{8 + 1}{4} = \frac{9}{4}
     \]

2. **Set up the division:**
   To find how many batches Angela can make, divide the total amount of flour by the amount of flour used per batch:
   \[
   \text{Batches} = \frac{65}{3} \div \frac{9}{4}
   \]

3. **Simplify the division of fractions:**
   Dividing by a fraction is the same as multiplying by its reciprocal:
   \[
   \frac{65}{3} \times \frac{4}{9} = \frac{65 \times 4}{3 \times 9} = \frac{260}{27}
   \]

4. **Convert the improper fraction to a mixed number:**
   \[
   \frac{260}{27} \approx 9 \frac{17}{27}
   \]
   So Angela can make approximately 9 full batches, with some flour left over.

### Final answer:
Angela can make **9 full batches** of cookies.

Would you like more details or have any questions? Here are some related questions:

1. How do you simplify complex fractions like \(\frac{65}{3} \div \frac{9}{4}\)?
2. What is the method for converting improper fractions to mixed numbers?
3. How can you estimate the result when dividing fractions?
4. What is the importance of reciprocal in fraction division?
5. How do you handle remainders in word problems involving division?

**Tip:** Always double-check your conversions between mixed numbers and improper fractions when solving problems like this.

Angela has 21 2/3 cups of flour. She uses 2 1/4 cups of flour to make each batch of cookies. How many batches of cookies can Angela make?

Solve the problem of how many batches of cookies Angela can make with 21 2/3 cups of flour and 2 1/4 cups of flour per batch. Learn how to convert mixed numbers to improper fractions and divide fractions step by step.

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