# Addition of Fractions having the Same Denominator | How to find the Sum of Fractions with the Same Denominator?

The addition of Fractions having the Same Denominator is very simple when you follow the steps. This page covers the data regarding the Addition of Fractions having the Same Denominator. In this concept, we should add the numerators without disturbing the denominators of the given fractions. Know the instructions for adding fractions with the same denominator from here. Scroll down this page to know how to add fractions with the same denominators with examples.

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## How to Add Fractions with the Same Denominator?

There are three steps to follow in order to add the fractions having the same denominator. They are as follows,
1. First check whether the denominators are the same or not.
2. If the fractions are having the same denominators then you can add the numerators.
3. And then put the answer over the denominator.
4. Simplify the fraction if needed.

### Examples on Adding Fractions with Same Denominator

Example 1.
Add the fractions $$\frac{1}{8}$$ and $$\frac{5}{8}$$ having the same denominator.
Solution:
Given the two fractions $$\frac{1}{8}$$ and $$\frac{5}{8}$$.
Step 1: First check whether the denominators are the same or not.
Here the denominators of both the fractions are the same.
So, we can add the numerators.
$$\frac{1}{8}$$ + $$\frac{5}{8}$$ = $$\frac{6}{8}$$
Here we can simplify the fraction.
$$\frac{6}{8}$$ = $$\frac{3}{4}$$
Thus the sum of two fractions $$\frac{1}{8}$$ and $$\frac{5}{8}$$ having the same denominator is $$\frac{6}{8}$$ or $$\frac{3}{4}$$

Example 2.
Add the fractions $$\frac{2}{15}$$ and $$\frac{11}{15}$$ have the same denominator.
Solution:
Given the two fractions
Step 1: First check whether the denominators are the same or not.
Here the denominators of both the fractions are the same.
Step 2: So, we can add the numerators.
$$\frac{2}{15}$$ + $$\frac{11}{15}$$ = $$\frac{2+11}{15}$$ = $$\frac{13}{15}$$
Step 3: Simplify the fraction if needed.
Here simplification of the fractions is not possible.
Thus addition of $$\frac{2}{15}$$ and $$\frac{11}{15}$$ having the same denominator is $$\frac{13}{15}$$

Example 3.
Add the fractions $$\frac{4}{9}$$ and $$\frac{5}{9}$$ that have the same denominator.
Solution:
Given the two fractions
Step 1: First check whether the denominators are the same or not.
Here the denominators of both the fractions are the same.
Step 2: So, we can add the numerators.
$$\frac{4}{9}$$ + $$\frac{5}{9}$$ = $$\frac{4+5}{9}$$ = $$\frac{9}{9}$$
Step 3: Simplify the fraction if needed.
$$\frac{9}{9}$$ = 1
Thus the sum of the fractions $$\frac{4}{9}$$ and $$\frac{5}{9}$$ that have the same denominator is 1.

Example 4.
Add the fractions $$\frac{3}{10}$$ and $$\frac{6}{10}$$ having the same denominator.
Solution:
Given the two fractions
Step 1: First check whether the denominators are the same or not.
Here the denominators of both the fractions are the same.
So, we can add the numerators.
$$\frac{3}{10}$$ + $$\frac{6}{10}$$ = $$\frac{3+6}{10}$$ = $$\frac{9}{10}$$
Step 3: Simplify the fraction if needed.
Here the simplification of the fractions is not possible.
Therefore the addition of fractions $$\frac{3}{10}$$ and $$\frac{6}{10}$$ having the same denominator is $$\frac{9}{10}$$

Example 5.
Add the fractions $$\frac{6}{17}$$ and $$\frac{10}{17}$$ have the same denominator.
Solution:
Given the two fractions
Step 1: First check whether the denominators are the same or not.
Here the denominators of both the fractions are the same.
So, we can add the numerators.
$$\frac{6}{17}$$ + $$\frac{10}{17}$$ = $$\frac{6+10}{17}$$ = $$\frac{16}{17}$$
Step 3: Simplify the fraction if needed.
Here the simplification of the fractions is not possible.
Therefore the addition of fractions $$\frac{6}{17}$$ and $$\frac{10}{17}$$ have the same denominator is $$\frac{16}{17}$$

### FAQs on Adding Fractions with Like Denominators

If the denominators are not the same, you must find the common denominator by finding the least common multiple. If the denominators are the same no need to add the denominators.

2. What are fractions with the same denominators called?

The fractions with the same denominators are called Like fractions.

3. Which set is an example of like fractions?

$$\frac{1}{4}$$  and $$\frac{3}{4}$$ set is an example of fractions having same denominator.

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