Adding Fractions: 2/3 + 1/9
In this article, we will learn how to add two fractions, 2/3 and 1/9, and express the result in fraction form.
Understanding the Fractions
Before we dive into adding the fractions, let's take a quick look at what each fraction represents:
- 2/3: This fraction represents two equal parts out of three. You can imagine a pizza divided into three slices, where two slices are shaded.
- 1/9: This fraction represents one equal part out of nine. You can imagine a pie divided into nine slices, where one slice is shaded.
Adding the Fractions
To add these fractions, we need to find a common denominator. The least common multiple (LCM) of 3 and 9 is 9. So, we can convert both fractions to have a denominator of 9:
- 2/3 = 6/9 (multiply numerator and denominator by 3)
- 1/9 = 1/9 (no change needed)
Now we can add the fractions:
6/9 + 1/9 = 7/9
Result in Fraction Form
The result of adding 2/3 and 1/9 is 7/9. This fraction represents seven equal parts out of nine.
Conclusion
In conclusion, adding fractions requires finding a common denominator and converting both fractions to have that denominator. In this case, we added 2/3 and 1/9 to get 7/9. Remember to always simplify your fractions to their lowest terms to make them easier to work with.
