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, we can add these two numbers and divide the sum by 2:
2 + 2 1/4 = 8/4 + 9/4 = 17/4
Now, dividing this sum by 2 gives us:
(17/4) ÷ 2 = 17/4 × 1/2 = 17/8
To write this as a mixed number, we divide the numerator (17) by the denominator (8) and write the quotient as the whole number part, and the remainder as the fractional part:
17 ÷ 8 = 2 remainder 1
Hence, the rational number between 2 and 2 1/4 is 2 1/8.
To find a rational number between 2 and 2 1/4 using the method of adding the numbers together and dividing by 2, you can follow these steps:
Step 1: Convert 2 1/4 into an improper fraction.
2 1/4 = (2 * 4 + 1) / 4 = 9/4
Step 2: Add 2 and 9/4 together.
2 + 9/4 = 8/4 + 9/4 = (8 + 9) / 4 = 17/4
Step 3: Divide the sum by 2.
17/4 ÷ 2 = 17/4 * 1/2 = 17/8
Step 4: Simplify the resulting fraction, if possible.
17/8 is already in its simplest form.
Therefore, a rational number between 2 and 2 1/4 obtained by adding the numbers and dividing by 2 is 17/8. In mixed number form, it can be written as 2 1/8.
To find a rational number between 2 and 2 1/4 using the given method, follow these steps:
1. Add the given numbers together:
2 + 2 1/4 = 2 + 9/4 = 8/4 + 9/4 = 17/4
2. Divide the sum by 2:
17/4 ÷ 2 = 17/4 × 1/2 = 17/8
To write the answer as a mixed number, divide the numerator (17) by the denominator (8) and express the remainder as a fraction:
17 ÷ 8 = 2 with a remainder of 1
Therefore, the answer is written as a mixed number:
2 1/8