Adding Mixed Numbers: 1 1/2 + 1 5/8
When working with mixed numbers, adding them together can be a bit tricky. In this article, we'll explore how to add 1 1/2 and 1 5/8.
Step 1: Convert Mixed Numbers to Improper Fractions
To add mixed numbers, we need to convert them to improper fractions. An improper fraction is a fraction where the numerator is greater than the denominator.
- 1 1/2 = 3/2
- 1 5/8 = 13/8
Step 2: Find the Least Common Multiple (LCM)
To add fractions, we need to find the least common multiple (LCM) of the denominators. In this case, the LCM of 2 and 8 is 8.
Step 3: Convert to Equivalent Fractions
We need to convert both fractions to have a denominator of 8.
- 3/2 = 12/8
- 13/8 (no change needed)
Step 4: Add the Fractions
Now we can add the fractions.
- 12/8 + 13/8 = 25/8
Step 5: Simplify the Answer
We can simplify the answer by converting it back to a mixed number.
- 25/8 = 3 1/8
Therefore, 1 1/2 + 1 5/8 = 3 1/8.
