Adding Fractions: 1/9 + 1/10
In this article, we will explore how to add two fractions: 1/9 and 1/10. Adding fractions can be a bit tricky, but with the right steps, you'll be able to do it with ease.
Understanding the Fractions
Before we dive into adding these fractions, let's make sure we understand what they represent.
- 1/9: This fraction represents one out of nine equal parts. Imagine you have a pizza cut into 9 slices, and you take one slice.
- 1/10: This fraction represents one out of ten equal parts. Think of a pizza cut into 10 slices, and you take one slice.
Finding the Least Common Multiple (LCM)
To add these fractions, we need to find the least common multiple (LCM) of 9 and 10. The LCM is the smallest number that both 9 and 10 can divide into evenly. In this case, the LCM is 90.
Converting the Fractions
Now, we need to convert both fractions to have a denominator of 90.
- 1/9: To convert this fraction, we'll multiply both the numerator (1) and the denominator (9) by 10, since 9 x 10 = 90.
- New fraction: 10/90
- 1/10: To convert this fraction, we'll multiply both the numerator (1) and the denominator (10) by 9, since 10 x 9 = 90.
- New fraction: 9/90
Adding the Fractions
Now that we have both fractions with the same denominator (90), we can add them.
- 10/90 + 9/90: To add these fractions, we simply add the numerators (10 + 9 = 19) and keep the denominator the same.
- Result: 19/90
Simplifying the Fraction
In this case, the fraction 19/90 is already in its simplest form. Therefore, our final answer is:
19/90
There you have it! We've successfully added 1/9 and 1/10 to get 19/90.
