https://file.aiquickdraw.com/mathbot/file/17274556739111ol04wju.jpg

Let's simplify the ratio given in the image: \( 2 \frac{1}{3} : 1 \frac{1}{2} \).

### Step-by-step solution:

1. **Convert the mixed numbers to improper fractions:**

   - \( 2 \frac{1}{3} = \frac{7}{3} \) 
   - \( 1 \frac{1}{2} = \frac{3}{2} \)

2. **Set up the ratio:**
   \[
   \frac{7}{3} : \frac{3}{2}
   \]

3. **Rewrite the ratio as a fraction:**
   \[
   \frac{\frac{7}{3}}{\frac{3}{2}} = \frac{7}{3} \times \frac{2}{3} = \frac{14}{9}
   \]

4. The simplified form of the ratio is \( 14:9 \).

Would you like more details on any part of the solution?

### Related Questions:
1. How do you convert mixed numbers into improper fractions?
2. What is the process of simplifying ratios involving fractions?
3. Why do we multiply by the reciprocal when simplifying ratios with fractions?
4. Can this method be used for ratios with more than two terms?
5. How would you convert an improper fraction back into a mixed number?

**Tip:** When simplifying ratios with fractions, always convert mixed numbers into improper fractions before proceeding.

Write the ratio 2 1/3 : 1 1/2 in its simplest form.

Learn how to simplify the ratio of mixed numbers 2 1/3 to 1 1/2 by converting them into improper fractions and performing multiplication. This problem demonstrates key concepts in fractions and arithmetic operations suitable for students in Grades 5-7.

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