Fractions are a part of a whole number where we split a number into equal parts. The addition of fractions is somewhat different from the normal addition since the fractions have a numerator and denominator. The like fractions will have common denominators where you have to add the numerators and denominators will remain unchanged. Read this page thoroughly to know what is meant by the addition of like fractions, steps to add like fractions, and examples related to adding like fractions.

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## Addition of Like Fractions – Definition

If denominators are the same, then such fractions are said to be like fractions and can be added directly. To add the like fractions we have to simplify the numerators and the denominators remain the same. Let us discuss about the addition of like fractions with an example.

**Example:**

Add \(\frac{1}{4}\) and \(\frac{2}{4}\).

**Solution:**

Step 1: The denominators of the given numbers are the same.

Step 2: Now add the numerators without changing the denominators.

\(\frac{1}{4}\) + \(\frac{2}{4}\)

1 + 2 = 3

Step 3: Simplify the fraction if necessary.

\(\frac{1}{4}\) + \(\frac{2}{4}\) = \(\frac{3}{4}\)

### Like Fractions – Definition

When fractions have the same denominator they are known as like fractions. You can add or subtract fractions when you have the same denominators.

### How to do Addition of Like Fractions? | Adding Similar Fractions Steps

In order to add like fractions, there are some steps to follow. They are

1. Make sure that you have like fractions.

2. Add the numerators.

3. Write the sum over the denominator.

4. Write the answer in the simplest form.

### Problems on Adding Fractions with Like Denominators

**Question 1.**

Add the fractions \(\frac{3}{4}\) and \(\frac{1}{4}\).

**Solution:**

Given two fractions \(\frac{3}{4}\) and \(\frac{1}{4}\)

Step 1: The denominators of the given numbers are the same.

Step 2: Now add the numerators without changing the denominators.

\(\frac{3}{4}\) + \(\frac{1}{4}\)

3 + 1 = 4

Step 3: Simplify the fraction

\(\frac{3}{4}\) + \(\frac{1}{4}\) = \(\frac{4}{4}\) = 1

**Question 2.**

Find the fractions \(\frac{2}{7}\) and \(\frac{3}{7}\).

**Solution:**

Given two fractions \(\frac{2}{7}\) and \(\frac{3}{7}\).

Step 1: The denominators of the given numbers are the same.

Step 2: Now add the numerators without changing the denominators.

\(\frac{2}{7}\) + \(\frac{3}{7}\)

2 + 3 = 5

Step 3: Simplify the fraction

\(\frac{2}{7}\) + \(\frac{3}{7}\) = \(\frac{5}{7}\)

**Question 3.**

Find the fractions \(\frac{1}{5}\) and \(\frac{3}{5}\).

**Solution:**

Given two fractions \(\frac{1}{5}\) and \(\frac{3}{5}\)

Step 1: The denominators of the given numbers are the same.

Step 2: Now add the numerators without changing the denominators.

\(\frac{1}{5}\) + \(\frac{3}{5}\)

1 + 3 = 4

Step 3: Simplify the fraction

\(\frac{1}{5}\) + \(\frac{3}{5}\) = \(\frac{4}{5}\)

**Question 4.**

Add the fractions \(\frac{1}{3}\) and \(\frac{1}{3}\).

**Solution:**

Given two fractions \(\frac{1}{3}\) and \(\frac{1}{3}\)

Step 1: The denominators of the given numbers are the same.

Step 2: Now add the numerators without changing the denominators.

Add \(\frac{1}{3}\) + \(\frac{1}{3}\)

1 + 1 = 2

Step 3: Simplify the fraction

\(\frac{1}{3}\) + \(\frac{1}{3}\) = \(\frac{2}{3}\)

**Question 5.**

Find the fractions \(\frac{7}{17}\), \(\frac{7}{17}\) and \(\frac{2}{17}\).

**Solution:**

Given three fractions \(\frac{7}{17}\), \(\frac{7}{17}\) and \(\frac{2}{17}\)

Step 1: The denominators of the given numbers are the same.

Step 2: Now add the numerators without changing the denominators.

Add \(\frac{7}{17}\) + \(\frac{7}{17}\) + \(\frac{2}{17}\)

7 + 7 + 2 = 16

Step 3: Simplify the fraction

\(\frac{7}{17}\) + \(\frac{7}{17}\) + \(\frac{2}{17}\) = \(\frac{16}{17}\)

### FAQs on Addition of Like Fractions

**1. How to Add Like Fractions?**

The basic steps that are followed to add fractions are given below.

1. Check the denominators.

2. Add the numerators and place the sum on the common denominator.

3. Then simplify the fraction.

**2. Write the sum of \(\frac{1}{10}\) and \(\frac{2}{10}\).**

Given the fractions \(\frac{1}{10}\) and \(\frac{2}{10}\)

The denominators are the same so we have to add the numerators.

\(\frac{1}{10}\) + \(\frac{2}{10}\) = \(\frac{3}{10}\)

**3. What is meant by like fraction? Write an example.**

The group of two or more fractions that have exactly the same denominator is called like fractions.

Example: \(\frac{2}{7}\), \(\frac{3}{7}\), \(\frac{4}{7}\),….