Find the rational number between 2 and 2 and 1/4 using the method of adding the numbers together and dividing by 2 write the answer as a mixed number
To find the rational number between 2 and 2 and 1/4 using the method of adding the numbers together and dividing by 2, we perform the following steps:
Step 1: Add the numbers together: 2 + 2 1/4 = 2 + 9/4 = 8/4 + 9/4 = 17/4.
Step 2: Divide the sum by 2: (17/4) ÷ 2 = 17/4 × 1/2 = 17/8.
Therefore, the rational number between 2 and 2 1/4 is 17/8.
To write this as a mixed number, we divide the numerator (17) by the denominator (8):
17 ÷ 8 = 2 remainder 1.
Therefore, the rational number between 2 and 2 1/4, expressed as a mixed number, is 2 1/8.
To find the rational number between 2 and 2 and 1/4 using the method of adding the numbers together and dividing by 2, follow these steps:
Step 1: Add the two numbers together.
2 + 2 1/4 = 2 + 9/4
Step 2: Convert the whole number to a fraction with the same denominator.
2 = 8/4
Now the equation becomes:
8/4 + 9/4 = 17/4
Step 3: Divide the sum by 2.
17/4 ÷ 2 = 17/4 × 1/2 = 17/8
Step 4: Simplify the fraction, if possible.
The fraction 17/8 is already in its simplest form.
Therefore, the rational number between 2 and 2 and 1/4 using the given method is 17/8.