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To find a rational number between 2 and 2.25 using the method of adding the numbers together and dividing by 2, we first add the two numbers together.
2 + 2.25 = 4.25
Then we divide the sum by 2.
4.25 / 2 = 2.125
Therefore, the rational number between 2 and 2.25 is 2.125, which can also be written as a mixed number as 2 and 1/8.