In this post, we are going to learn how to find a **sum of fractions**.

Before you begin to add fractions, it is recommended that you know how to calculate the **least common multiple **(**LCM) **of two or more numbers.

To calculate a **sum of fractions**, the important thing is that the fractions have the **same denominator**.

## Sum of fractions with the same denominator

To add fractions with the same denominator you have to add the numerators and leave the same denominator.

For example:

Since the 2 fractions have the same denominator, what we have to do is **keep the same denominator**, which is 4, and **add the numerators**.

3 + 2 = 5

And the result of the sum of fractions is:

## Sum of fractions with different denominators

To **add fractions with different denominators**, the first thing that you have to do is **find a common denominator: **this is the **least common multiple **of the denominators that you have. Then we multiply each numerator by the number that we have multiplied the denominator by. Finally, we add the numerators that we have obtained and keep the same denominator.

For example,

The first thing to do is find a common denominator between 3 and 5. To do this, we calculate the least common multiple between both numbers.

LCM(3,5) = 15

So 15 is the common denominator of the two fractions.

Now we have to multiply each numerator by the number that we have multiplied the denominator by. To do this, we divide the LCM by the initial denominator and multiply the result by the numerator of that fraction.

For the first fraction:

15 / 3 = 5

5 x 2 = 10

So 10 is the numerator of the first fraction.

For the second fraction:

15 / 5 = 3

3 x 4 =12

So 12 is the numerator of the second fraction.

Now, all we have left to do is add the numerators:

10 + 12 = 22

And the result of the sum of fractions is:

I hope that you have learned with this post how to to find a sum of fractions.

Do not hesitate to leave your comments!

And if you want to learn more math, sign in to Smartick for a free trial!

Learn More:

- Learn and Practice How to Subtract or Add Fractions
- Learning How to Subtract Fractions
- Practice Adding Fractions with Examples
- Learn and Practice How to Find Sums of Fractions
- Learn How to Subtract Fractions

- The Language of Functions and Graphs - 07/01/2024
- Educational Technology: The Christodoulou Test - 05/06/2024
- Multiplication Activities in Smartick - 04/09/2024

Thanks ☺️

Thank you so much for this 😊

thanks 🙂

Cool

Awesome

Thanks Smartick…this really helped me a lot.

Thank goodness

Omg… I like it😍

thanks for the answer

wow works soooo well thx smartick

i enjoy with this

I love it too, don´t give up!

Wow

Thanks, it really helped me with my homework

Thank you for helping me with math. You make it so easy.

OML This freaking helped me a lot! Thanks I will sure use your website again! 😀

thanks this is sooo helpful

super easy to understand. love ittttttt. thank internet so much and smart people to make math easy.

Thanks to you, Sunny!

Signed: smart people 😉

It was very easy