Question

Find a rational number between 2 and 214
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

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 2

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 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 \(2 \frac{1}{8}\).