Adding Mixed Numbers: 1 1/2 + 1 2/3
Adding mixed numbers can seem a bit tricky, but it's actually quite straightforward. Here's how to solve 1 1/2 + 1 2/3:
1. Find a Common Denominator:
- The smallest common denominator for 2 and 3 is 6.
- Convert the fractions:
- 1 1/2 = 1 3/6
- 1 2/3 = 1 4/6
2. Add the Whole Numbers and Fractions Separately:
- Add the whole numbers: 1 + 1 = 2
- Add the fractions: 3/6 + 4/6 = 7/6
3. Simplify the Result:
- You now have 2 7/6.
- Since 7/6 is an improper fraction (numerator is greater than the denominator), simplify it by converting it to a mixed number: 7/6 = 1 1/6
- Add the whole number part to the previous whole number: 2 + 1 1/6 = 3 1/6
Therefore, 1 1/2 + 1 2/3 = 3 1/6