Adding Fractions: 1/7 + 1/3 + 2/7
When dealing with fractions, it's essential to know how to add them correctly. In this article, we'll explore how to add 1/7 + 1/3 + 2/7 as a fraction.
Understanding the Fractions
Before we dive into the calculation, let's break down each fraction:
1/7
This fraction has a numerator of 1 and a denominator of 7.
1/3
This fraction has a numerator of 1 and a denominator of 3.
2/7
This fraction has a numerator of 2 and a denominator of 7.
Adding the Fractions
To add these fractions, we need to find a common denominator. The least common multiple (LCM) of 7 and 3 is 21. So, we can convert each fraction to have a denominator of 21:
1/7 = 3/21
1/3 = 7/21
2/7 = 6/21
Now we can add the fractions:
3/21 + 7/21 + 6/21 = 16/21
Therefore, the result of adding 1/7 + 1/3 + 2/7 is 16/21.
Conclusion
Adding fractions might seem daunting, but by finding a common denominator and converting each fraction accordingly, we can simplify the process. In this case, we've successfully added 1/7 + 1/3 + 2/7 to get 16/21.
