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Insert one rational number between 2 "an...

Insert one rational number between `2 "and" 3`.

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To insert one rational number between 2 and 3, we can follow these steps: ### Step-by-Step Solution: 1. **Identify the two numbers**: We have the numbers 2 and 3. 2. **Find the average of the two numbers**: To find a rational number between 2 and 3, we can calculate the average of these two numbers. The formula for the average of two numbers \( x \) and \( y \) is: \[ \text{Average} = \frac{x + y}{2} \] Here, \( x = 2 \) and \( y = 3 \). 3. **Calculate the average**: \[ \text{Average} = \frac{2 + 3}{2} = \frac{5}{2} \] 4. **Convert to decimal form**: The fraction \( \frac{5}{2} \) can also be expressed as a decimal: \[ \frac{5}{2} = 2.5 \] 5. **Verify that it is a rational number**: A rational number is defined as a number that can be expressed in the form \( \frac{p}{q} \), where \( p \) is an integer and \( q \) is a non-zero integer. Here, \( \frac{5}{2} \) meets this criterion since 5 is an integer and 2 is a non-zero integer. ### Final Answer: The rational number between 2 and 3 is \( \frac{5}{2} \) or 2.5.
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