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: $$\frac{17}{4}÷2=\frac{17}{4}\cdot \frac{1}{2}=\frac{17}{8}$$

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 $2\frac{1}{8}$.