Simplify the following ratios:
`2 1/3:3 1/2`

Explanation

To simplify the ratio \(2 \frac{1}{3} : 3 \frac{1}{2}\), we will follow these steps:

### Step 1: Convert Mixed Numbers to Improper Fractions
First, we need to convert the mixed numbers into improper fractions.

- For \(2 \frac{1}{3}\):
\[
2 \frac{1}{3} = 2 \times 3 + 1 = 6 + 1 = \frac{7}{3}
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