Adding Mixed Numbers: 1 1/4 + 2 1/3
Adding mixed numbers can seem a bit tricky, but with a few simple steps, it becomes much easier. Let's break down how to add 1 1/4 + 2 1/3.
Step 1: Find a Common Denominator
Before we can add fractions, they need to have the same denominator. The smallest common denominator for 4 and 3 is 12.
- 1 1/4 becomes 1 3/12 (multiply numerator and denominator by 3)
- 2 1/3 becomes 2 4/12 (multiply numerator and denominator by 4)
Step 2: Add the Whole Numbers
Now that the fractions have the same denominator, we can add the whole numbers: 1 + 2 = 3
Step 3: Add the Fractions
Add the numerators of the fractions, keeping the denominator the same: 3/12 + 4/12 = 7/12
Step 4: Combine the Whole Number and Fraction
Finally, combine the whole number and fraction to get the final answer: 3 + 7/12 = 3 7/12