Adding Mixed Numbers: 1 1/4 + 2 2/3
Adding mixed numbers can seem intimidating, but it's actually quite simple once you break it down. Here's how to add 1 1/4 + 2 2/3:
Step 1: Find a Common Denominator
The first step is to find a common denominator for the fractions 1/4 and 2/3. The least common multiple of 4 and 3 is 12.
- Convert 1/4 to an equivalent fraction with a denominator of 12: 1/4 * 3/3 = 3/12
- Convert 2/3 to an equivalent fraction with a denominator of 12: 2/3 * 4/4 = 8/12
Step 2: Add the Fractions
Now that the fractions have the same denominator, we can add them:
3/12 + 8/12 = 11/12
Step 3: Add the Whole Numbers
Next, add the whole numbers from the original mixed numbers:
1 + 2 = 3
Step 4: Combine the Whole Number and Fraction
Finally, combine the whole number and the fraction:
3 11/12
Therefore, 1 1/4 + 2 2/3 = 3 11/12.