Adding Fractions: 1/3 + 1/6
In this article, we will learn how to add two fractions, specifically 1/3 and 1/6. Adding fractions can be a bit tricky, but with the right steps, you'll be a pro in no time!
Step 1: 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 denominators are 3 and 6. The multiples of 3 are 3, 6, 9, 12, ..., and the multiples of 6 are 6, 12, 18, 24, .... The first number that appears in both lists is 6, so the LCM is 6.
Step 2: Convert the Fractions
Now that we have the LCM, we need to convert both fractions to have a denominator of 6.
- 1/3 = 2/6 (multiply numerator and denominator by 2)
- 1/6 = 1/6 (no change needed)
Step 3: Add the Fractions
Now that both fractions have the same denominator, we can add them:
2/6 + 1/6 = 3/6
Simplifying the Answer
The result of the addition is 3/6, but we can simplify it further by dividing both numerator and denominator by their greatest common divisor (GCD). The GCD of 3 and 6 is 3, so:
3/6 = 1/2
Answer
Therefore, the result of adding 1/3 and 1/6 is 1/2.
