OML Search

Subtracting Fractions (common or uncommon denominators)

Related Topics:
More Lessons for Arithmetic
Math Worksheets



The following diagram shows how to subtract fraction with common denominators and uncommon denominators. Scroll down the page for more examples and solutions for subtracting fractions.

Subtract Fractions

Subtracting Fractions with Common Denominators or Like Denominators

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

Example :


How to subtract fractions with common denominators.



Subtracting Fractions With Uncommon Denominators or Unlike Denominators

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

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 subtract as before.

Example:

Evaluate

Solution:

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 as equivalent fractions with a common denominator of 10.

Step 3: Subtract the 2 equivalent fractions.

subtract fractions


How to subtract fractions with uncommon denominators?

Try the free Mathway calculator and problem solver below to practice various math topics. Try the given examples, or type in your own problem and check your answer with the step-by-step explanations.
Mathway Calculator Widget


OML Search


We welcome your feedback, comments and questions about this site or page. Please submit your feedback or enquiries via our Feedback page.