Find a rational number between 2 and 214

Question

2
1
4
using the method of adding the numbers together and dividing by 2. Write the answer as a mixed number.(1 point)

Answer 1

To find a rational number between 2 and 214 using the method of adding the numbers together and dividing by 2, you do the following:

1. Add the two numbers together: \[ 2 + 214 = 216 \]

2. Divide the sum by 2: \[ \frac{216}{2} = 108 \]

Now we have the number 108. Since this is an integer, we can express it as a mixed number:

\[ 108 = 108 \frac{0}{1} \]

Thus, the rational number between 2 and 214 is \( 108 \).

Answer 2

By this time, you should have learned the common ways users mistype fractions. As it was worded, the question is very silly. It is clear the user meant

Find a rational number between 2 and 2 1/4
so using your method, the answer is (2 + 2 1/4)/2 = 2 1/8

Answer 3

Thank you for your clarification! Let's find a rational number between \(2\) and \(2 \frac{1}{4}\) using the method of adding the numbers together and dividing by 2.

1. First, convert \(2 \frac{1}{4}\) to an improper fraction: \[ 2 \frac{1}{4} = 2 + \frac{1}{4} = \frac{8}{4} + \frac{1}{4} = \frac{9}{4} \]

2. Now, add \(2\) and \(2 \frac{1}{4}\): \[ 2 + \frac{9}{4} = \frac{8}{4} + \frac{9}{4} = \frac{17}{4} \]

3. Next, divide the result by 2: \[ \frac{17}{4} \div 2 = \frac{17}{4} \cdot \frac{1}{2} = \frac{17}{8} \]

4. Now, convert \(\frac{17}{8}\) to a mixed number: \[ \frac{17}{8} = 2 \frac{1}{8} \]

Thus, the rational number between \(2\) and \(2 \frac{1}{4}\) is \(2 \frac{1}{8}\).