Numbers Between Rational Numbers Practice
Math 8 Q1 (Pre-Algebra) / The Number System
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.(1 point)
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To find a rational number between 2 and 2 1/4 using the method of adding the numbers together and dividing by 2, we need to find the average of the two numbers.
First, convert 2 1/4 to an improper fraction:
2 1/4 = 8/4 + 1/4 = 9/4
Next, add the two numbers together:
2 + 9/4 = 8/4 + 9/4 = 17/4
Now, divide the sum by 2:
(17/4) / 2 = (17/4) ÷ (2/1) = (17/4) * (1/2) = 17/8
So, the rational number between 2 and 2 1/4, when found using the method of adding the numbers together and dividing by 2, is 17/8 or 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, follow these steps:
1. Add the two numbers together: 2 + 2 1/4.
2 + 2 1/4 = 4 + 1/4.
2. Convert the whole number and fraction into improper fractions:
4 + 1/4 = 16/4 + 1/4 = 17/4.
3. Divide the sum by 2:
(17/4) / 2 = 17/4 ÷ 2/1.
4. Invert the divisor (2/1) and multiply:
17/4 × 1/2 = 17/8.
5. Simplify the fraction:
17/8 = 2 1/8.
Therefore, the rational number between 2 and 2 1/4 is 2 1/8.