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Adding Fractions (with like or unlike denominators)

Examples, solutions, videos, and lessons to help students learn how to add fractions with like or unlike denominators.

The following examples shows how to add fractions with like denominators and unlike denominators. Scroll down the page for more examples and solutions.

Add Fractions with Like and Unlike Denominators

Adding Fractions with Common or Like Denominators

When we add fractions that have the same, or common denominators, we add only the numerators. The denominators stay the same.

Example :

Add fractions with like denominators

Adding Fractions With Uncommon or Unlike Denominators

To add fractions with uncommon denominators, we need to change the fractions to equivalent fractions with common denominators before we find the sum.

First, we would need to find the least common denominator (LCD), which is the LCM of the denominators.

Next, we write equivalent fractions using the least common denominator. Then, we proceed to add as before.




Step 1 :Find the LCD or LCM of 2 and 5

Multiples of 2: 2, 4, 6, 8, 10, 12

Multiples of 5: 5, 10, 15

The LCD or the Least Common Multiple of 2 and 5 is 10

Step 2 : Write both fractions and as equivalent fractions with a common denominator of 10.

Step 3: Add the 2 equivalent fractions.

The following video shows more examples of adding fractions with uncommon or unlike denominators.

Rotate to landscape screen format on a mobile phone or small tablet to use the Mathway widget, a free math problem solver that answers your questions with step-by-step explanations.

You can use the free Mathway calculator and problem solver below to practice Algebra or other math topics. Try the given examples, or type in your own problem and check your answer with the step-by-step explanations.

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