Adding Mixed Numbers: 1 3/8 + 1 1/2
Understanding Mixed Numbers
Before we dive into the problem, let's quickly review what mixed numbers are. A mixed number is a combination of a whole number and a fraction. For example, 1 3/8 is a mixed number where 1 is the whole number and 3/8 is the fraction.
The Problem: 1 3/8 + 1 1/2
Now, let's focus on the problem at hand. We need to add 1 3/8 and 1 1/2. To do this, we'll follow the steps for adding mixed numbers.
Step 1: Convert to Improper Fractions
First, we need to convert both mixed numbers to improper fractions.
- 1 3/8 = (1 x 8 + 3) / 8 = 11/8
- 1 1/2 = (1 x 2 + 1) / 2 = 3/2
Step 2: Find a Common Denominator
Next, we need to find a common denominator for both fractions. The least common multiple (LCM) of 8 and 2 is 8. So, we can convert the second fraction to have a denominator of 8:
- 3/2 = (3 x 4) / (2 x 4) = 12/8
Step 3: Add the Fractions
Now we can add the two fractions:
- 11/8 + 12/8 = 23/8
Step 4: Simplify the Result
Finally, we can simplify the result by converting it back to a mixed number:
- 23/8 = 2 7/8
The Answer
Therefore, 1 3/8 + 1 1/2 = 2 7/8.
