How do i subtract fractions with different denominators

How can you add and subtract fractions with different denominators?

How do i subtract fractions with different denominators

Welcome to this free lesson guide that accompanies this Adding and Subtracting Denominators with Unlike Denominators video lesson, where you will learn the answers to the following key questions and information:

  • Adding Fractions

  • Subtracting Fractions

  • Unlike Denominators

  • How to add and subtract fractions with the same denominator

  • How to add and subtract fractions with different denominators

This Adding and Subtracting Fractions with Unlike Denominators: Complete Guide includes several examples, a step-by-step tutorial, an animated video mini-lesson, and a free worksheet and answer key.

How do i subtract fractions with different denominators

Before you learn about adding and subtracting fractions you need to understand some key vocabulary first.

Adding and Subtracting Fractions with the Same Denominator

Let’s start by reviewing the difference between a numerator and a denominator:

How do i subtract fractions with different denominators

In the above example, 1/5 and 3/5 have common denominators (both equal 5). To add them together, you just have to add the numerators together and leave the denominator alone as follows:

How do i subtract fractions with different denominators

How do i subtract fractions with different denominators

Since 4/5 can not be simplified any further, you can conclude that:

1/5 + 3/5 = 4/5

But what about when the denominators are not the same?

Adding and Subtracting Fractions with Unlike Denominators

How do you add and subtract fractions when the denominators are different?

You can use the following 3-step process for adding and subtracting fractions (with and without common denominators).

How do i subtract fractions with different denominators

Subtracting Fractions with Unlike Denominators Example

How do i subtract fractions with different denominators

STEP ONE: Get a common denominator.

How do i subtract fractions with different denominators

How do i subtract fractions with different denominators

STEP TWO: Add or subtract the numerators.

How do i subtract fractions with different denominators

How do i subtract fractions with different denominators

STEP THREE: Simplify the result if needed.

Notice that 3/27 can be simplified, since the numerator and denominator are both divisible by 3.

How do i subtract fractions with different denominators

How do i subtract fractions with different denominators

How do i subtract fractions with different denominators

And that’s all there is to it!

Final Answer:

How do i subtract fractions with different denominators

Adding and Subtracting Fractions with Unlike Denominators: Video Tutorial

Still confused? Check out the animated video lesson below:

Check out the video lesson below to learn more about adding and subtracting fractions and for more free practice problems:

Keep Learning with More Free Lesson Guides:

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How do you subtract fractions step by step?

Step 1: Take the LCM of the denominator. Step 2: Convert the denominators to the LCM Value by multiplying the numerator and the denominator by the same number. Step 3: Once the denominator becomes equal, subtract the numerator. Step 4: Simplify the resulting fraction, if necessary.