Adding Mixed Numbers: 1 1/3 + 1 1/2
Adding mixed numbers can seem tricky, but it's actually quite simple once you understand the process. Here's how to add 1 1/3 + 1 1/2:
Step 1: Find a Common Denominator
The fractions in our mixed numbers have different denominators (3 and 2). To add them, we need a common denominator. The least common multiple of 3 and 2 is 6.
- 1 1/3 becomes 1 2/6 (multiply numerator and denominator of 1/3 by 2)
- 1 1/2 becomes 1 3/6 (multiply numerator and denominator of 1/2 by 3)
Step 2: Add the Whole Numbers and Fractions Separately
Now we have: 1 2/6 + 1 3/6
- Add the whole numbers: 1 + 1 = 2
- Add the fractions: 2/6 + 3/6 = 5/6
Step 3: Combine the Results
We now have 2 5/6.
Therefore, 1 1/3 + 1 1/2 = 2 5/6.