Adding Fractions: 1/4 + 1/4 + 1/2
In this article, we will explore how to add fractions, specifically the sum of 1/4 + 1/4 + 1/2. Adding fractions can seem daunting, but with a few simple steps, you'll be a pro in no time!
Step 1: Find the Least Common Denominator (LCD)
To add fractions, we need to find the Least Common Denominator (LCD) of all the fractions involved. The LCD is the smallest common multiple of the denominators. In this case, the denominators are 4, 4, and 2.
The LCD of 4, 4, and 2 is 4.
Step 2: Convert Each Fraction to Have the LCD
Now, we need to convert each fraction to have the LCD of 4.
- 1/4 is already in the form of 4, so no change is needed.
- 1/4 is already in the form of 4, so no change is needed.
- 1/2 = 2/4 (multiply numerator and denominator by 2 to get the LCD of 4)
Step 3: Add the Fractions
Now that all fractions have the LCD of 4, we can add them:
1/4 + 1/4 + 2/4 = ?
To add these fractions, we simply add the numerators (1 + 1 + 2 = 4) and keep the denominator of 4:
4/4
The Final Answer
The sum of 1/4 + 1/4 + 1/2 is 4/4, which simplifies to 1.
Therefore, the final answer is 1.
