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.
To find a rational number between 2 and 2 1/4 using the method of adding the numbers together and dividing by 2, we start by adding the two numbers:
2 + 2 1/4 = 2 + 9/4 = 8/4 + 9/4 = 17/4
Now, we divide the sum by 2:
17/4 ÷ 2 = 17/4 × 1/2 = 17/8
The rational number between 2 and 2 1/4 is 17/8.
To write it as a mixed number, we divide the numerator (17) by the denominator (8):
17 ÷ 8 = 2 remainder 1
Therefore, the mixed number form of 17/8 is 2 1/8.