Solving problems involving mixed numbers and whole numbers often involves addition. Here's how you can approach these problems, based on the reference:
The core concept is to separate the whole number and fractional parts of the mixed number and then add the whole numbers together.
Steps to add a mixed number and a whole number:
- Identify the whole number and fractional parts of the mixed number.
- Add the whole number from the mixed number to the other whole number.
- Keep the fraction as is since you're only adding whole numbers to it.
- Combine the sum of the whole numbers with the fraction to get your final answer.
Example:
Let's say you want to add 9 to the mixed number 2 2/3 (based on the YouTube reference, starting at 0:01 and ending at 2:19).
- The mixed number is 2 2/3. It has a whole number part (2) and a fractional part (2/3).
- Add the whole numbers: 9 + 2 = 11.
- Keep the fraction: 2/3.
- Combine them: 11 2/3.
Therefore, 9 + 2 2/3 = 11 2/3.
Another Example:
Let's add 5 and 3 1/4.
- The mixed number is 3 1/4. It has a whole number part (3) and a fractional part (1/4).
- Add the whole numbers: 5 + 3 = 8.
- Keep the fraction: 1/4.
- Combine them: 8 1/4
Therefore, 5 + 3 1/4 = 8 1/4.
In essence, you're simply adding the whole numbers and tacking on the fraction from the mixed number to the result.
