Adding Fractions: 1/3 + 2/7
Fractions can be a bit tricky, but with the right steps, you can easily add them together. In this article, we'll explore how to add 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. In this case, the denominators are 3 and 7. To find the LCM, we need to list the multiples of each denominator:
Multiples of 3: 3, 6, 9, 12, 15, ... Multiples of 7: 7, 14, 21, 28, ...
The first number that appears in both lists is 21, so the LCM is 21.
Step 2: Convert the Fractions
Now that we have the LCM, we need to convert both fractions to have a denominator of 21:
1/3 = 7/21 (multiply numerator and denominator by 7) 2/7 = 6/21 (multiply numerator and denominator by 3)
Step 3: Add the Fractions
Now that both fractions have the same denominator, we can add them:
7/21 + 6/21 = 13/21
The Answer
The result of adding 1/3 and 2/7 is 13/21.
