Adding Mixed Numbers: 1 1/2 + 1 1/4
Adding mixed numbers can seem a bit daunting, but it's actually quite straightforward. Let's break down how to solve 1 1/2 + 1 1/4.
1. Find a Common Denominator
The fractions in our problem have different denominators (2 and 4). We need to find a common denominator to add them. The least common denominator of 2 and 4 is 4.
- Convert 1 1/2 to an equivalent fraction: 1 1/2 = 1 2/4
2. Add the Whole Numbers and the Fractions
Now that we have a common denominator, we can add the whole numbers and the fractions separately:
- Whole numbers: 1 + 1 = 2
- Fractions: 2/4 + 1/4 = 3/4
3. Combine the Results
Finally, combine the whole number sum and the fraction sum:
- 2 + 3/4 = 2 3/4
Therefore, 1 1/2 + 1 1/4 = 2 3/4.