Adding Fractions: 1/8 + 1/4 + 1/2
Understanding the Concept
When we talk about adding fractions, we need to remember that each fraction has a numerator (the top number) and a denominator (the bottom number). To add fractions, we need to have the same denominator. In this case, we want to add 1/8, 1/4, and 1/2.
Step-by-Step Solution
Step 1: Find the Least Common Multiple (LCM)
The least common multiple (LCM) of 8, 4, and 2 is 8. So, we need to convert each fraction to have a denominator of 8.
Step 2: Convert the Fractions
- 1/8 = 1/8 (no change needed)
- 1/4 = 2/8
- 1/2 = 4/8
Step 3: Add the Fractions
Now that we have the same denominator, we can add the fractions:
1/8 + 2/8 + 4/8 = 7/8
The Final Answer
The result of adding 1/8, 1/4, and 1/2 is 7/8.
