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.

Answer 1

To find a rational number between 2 and 2 1/4, we can add the two numbers together and divide by 2.

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

Now, divide 17/4 by 2:
(17/4) ÷ 2 = 17/4 × 1/2 = 17/8

Thus, a rational number between 2 and 2 1/4, found using the method of adding the numbers together and dividing by 2, is 17/8.

We can also write 17/8 as a mixed number:
17 ÷ 8 = 2 remainder 1

Therefore, the mixed number form of 17/8 is 2 1/8.

So, a rational number between 2 and 2 1/4 is 2 1/8.