Adding Fractions: 1/7 + 2/9 as a Fraction
When dealing with fractions, it's essential to understand how to add them correctly. In this article, we'll explore how to add 1/7 and 2/9 as a fraction.
Understanding the Fractions
Before we dive into the addition process, let's take a closer look at the fractions we're working with:
- 1/7: This fraction represents one part out of seven equal parts.
- 2/9: This fraction represents two parts out of nine equal parts.
Finding the Least Common Multiple (LCM)
To add these fractions, we need to find the least common multiple (LCM) of 7 and 9. The LCM is the smallest number that both 7 and 9 can divide into evenly.
The multiples of 7 are: 7, 14, 21, 28, ... The multiples of 9 are: 9, 18, 27, 36, ...
The first number that appears in both lists is 63. Therefore, the LCM of 7 and 9 is 63.
Converting the Fractions
Now that we have the LCM, we can convert both fractions to have a denominator of 63:
- 1/7 = 9/63
- 2/9 = 14/63
Adding the Fractions
Now that we have both fractions with the same denominator, we can add them:
9/63 + 14/63 = 23/63
The Result
The result of adding 1/7 and 2/9 as a fraction is:
23/63
Remember to always find the least common multiple of the denominators before adding fractions, and to convert both fractions to have the same denominator before performing the addition. This ensures accurate results when working with fractions.
