Adding Mixed Numbers: 1 1/2 + 1 1/4
Adding mixed numbers can seem daunting, but it's a straightforward process once you understand the steps. Let's break down how to add 1 1/2 + 1 1/4.
Step 1: Find a Common Denominator
The fractions in our mixed numbers have different denominators (2 and 4). To add them, we need a common denominator. The least common multiple of 2 and 4 is 4.
- Convert 1/2 to an equivalent fraction with a denominator of 4: (1/2) * (2/2) = 2/4
Now our problem looks like this: 1 2/4 + 1 1/4
Step 2: Add the Whole Numbers and Fractions Separately
- Whole numbers: 1 + 1 = 2
- Fractions: 2/4 + 1/4 = 3/4
Step 3: Combine the Results
We now have 2 3/4.
Final Answer
Therefore, 1 1/2 + 1 1/4 equals 2 3/4.