Find a rational number between 2 and 2/1/4

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

To find a rational number between 2 and 2 1/4 using the method of adding the numbers together and dividing by 2, we add 2 and 2 1/4.

2 + 2 1/4 = 2 + 9/4 = 8/4 + 9/4 = 17/4

Now, we divide 17/4 by 2.

(17/4) ÷ 2 = 17/4 × 1/2 = (17 × 1)/(4 × 2) = 17/8

Therefore, a rational number between 2 and 2 1/4 using the mentioned method is 17/8. In mixed number form, it can be written as 2 1/8.