Adding Fractions: 1/3 + 2/7
Adding fractions can be a bit tricky, but with the right steps, you can easily find the answer. In this article, we will explore how to add the fractions 1/3 and 2/7.
Step 1: Find the Least Common Multiple (LCM)
To add fractions, we need to find the least common multiple (LCM) of the denominators, which are 3 and 7. The LCM of 3 and 7 is 21.
Step 2: Convert the Fractions
Now, we need to convert both fractions to have a denominator of 21.
Fraction 1: 1/3
To convert 1/3 to have a denominator of 21, we need to multiply the numerator and denominator by 7.
1/3 = (1 × 7) / (3 × 7) = 7/21
Fraction 2: 2/7
To convert 2/7 to have a denominator of 21, we need to multiply the numerator and denominator by 3.
2/7 = (2 × 3) / (7 × 3) = 6/21
Step 3: Add the Fractions
Now that both fractions have the same denominator, we can add them.
7/21 + 6/21 = (7 + 6) / 21 = 13/21
The Final Answer
The final answer is:
1/3 + 2/7 = 13/21
There you have it! The sum of 1/3 and 2/7 is indeed 13/21.
