How To Solve Fractions With Different Denominators

How To Solve Fractions With Different Denominators – Welcome to this free step-by-step guide to dividing fractions. This tutorial will teach you how to use a simple three-step method called Keep-Change-Flip to easily divide fractions by fractions (as well as fractions by whole numbers).

Below are some examples of how to divide fractions using the Keep-Change-Flip method, along with an explanation of why this method works for any math problem that involves dividing fractions. Plus, this free tutorial includes an animated video lesson and a free practice worksheet with answers!

How To Solve Fractions With Different Denominators

How To Solve Fractions With Different Denominators

Before learning how to divide fractions using the Keep-Change-Flip method, you need to make sure you understand multiplying fractions (which is even easier than dividing!).

Solving Equations With Fractions

Because multiplying fractions is usually learned before dividing fractions, you may already know how to multiply two fractions. If this is your case, you can skip to the next section.

How To Solve Fractions With Different Denominators

Rule of Multiplying Fractions: Whenever you multiply fractions, multiply the numerator and then multiply the denominator as follows…

Now that you know how to multiply fractions, you’re ready to learn how to divide fractions using the simple 3-step Keep-Change-Flip method.

How To Solve Fractions With Different Denominators

Lesson Video: Adding Fractions With Unlike Denominators

To solve this example (and any problem where you have to divide fractions, we’ll use the Keep-Change-Flip method)

If we think about 1/2 ÷ 1/4 in the form of a question: How much 1/4 is in 1/2?

How To Solve Fractions With Different Denominators

And then if we imagine 1/4 and 1/2, we can clearly see that there are 2 1/4 in 1/2, and therefore the final answer is 2.

Printable Board Games For Adding & Subtracting Fractions

As in example 01, you can solve this problem using the alternation change method as follows:

How To Solve Fractions With Different Denominators

What if you need to divide a fraction by a whole number? It turns out that the procedure is exactly the same as in the previous examples!

Note that in this example you are dividing a fraction by a whole number. But actually it is very easy to convert a whole number to a fraction. All you have to do is rewrite the number as a fraction where the number itself is in the numerator and 1 is in the denominator.

How To Solve Fractions With Different Denominators

Adding And Subtracting Unlike Fractions Word Problems Worksheet

Now that you have rewritten the integer as a fraction, you can use the Keep-Change-Flip method to solve the problem.

Watch the video lesson below to learn how to divide fractions by fractions and fractions by whole numbers:

How To Solve Fractions With Different Denominators

Looking for some more practice dividing fractions? Click on the links below to download free worksheets and answer keys: How to Add Fractions in 3 Easy Steps Math Skills: How to Add Fractions with the Same Denominator and How to Add Fractions with Different Denominators

Dividing Fractions In 3 Easy Steps: Your Complete Guide — Mashup Math

Since fractions are a critically important math topic, understanding how to add fractions is an essential building block for mastering the more complex math concepts you will encounter in the future.

How To Solve Fractions With Different Denominators

Fortunately, learning to add fractions with the same and different (different) denominators is a relatively simple process. The free How to Add Fractions Step by Step tutorial teaches you how to add fractions when the denominators are the same and how to add fractions with different denominators using a simple and easy 3-step process.

But before you learn how to add fractions, let’s do a quick review of some key functions and vocabulary terms related to fractions before moving on to some detailed examples of adding fractions.

How To Solve Fractions With Different Denominators

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To learn how to add fractions, it is necessary to understand the difference between the numerator and the denominator.

Definition: The numerator of a fraction is the highest number in the fraction. For example, the numerator is 4 in the fraction 3/4.

How To Solve Fractions With Different Denominators

Definition: the denominator of a fraction is the bottom number in the fraction. For example, the numerator is 4 in the fraction 3/4.

Question Video: Adding Two Fractions With Unlike Denominators

Pretty simple, right? These concepts are visually represented in Figure 01 below. Before you continue with this tutorial, make sure you understand the difference between the numerator and denominator of a fraction. If you mix them up, you won’t learn how to add fractions correctly.

How To Solve Fractions With Different Denominators

Figure 01: The numerator is the top number of the fraction and the denominator is the bottom number of the fraction.

Now that you know the difference between the numerator and denominator of a fraction, you’re ready to learn how to determine whether a given problem involving adding fractions falls into one of the following categories:

How To Solve Fractions With Different Denominators

Add & Subtract Fractions

Fractions with like denominators have lower numbers of equal value. For example, in the case of 1/5 + 3/5, you would add fractions with the same denominators because both fractions have a bottom number of 5.

Conversely, fractions with different (or different) denominators have lower numbers that do not equal the same value. For example, in the case of 1/2 + 3/7, you would add fractions with different denominators because the fractions do not have a common denominator (one has a denominator of 2 and the other has a denominator of 7).

How To Solve Fractions With Different Denominators

Figure 02: To learn how to add fractions, you need to know when the fractions have the same denominator and when they have different denominators.

Add & Subtract Fractions (unlike Denominators) Math Video Grades 3 6

Again, this concept should be easy, but a quick review was needed because you’ll need to be able to identify whether a fraction addition problem involves like or unlike denominators in order to solve it correctly.

How To Solve Fractions With Different Denominators

Our first example is pretty simple, but it’s perfect for learning how to use our simple 3-step process that you can use to solve any problem involving addition of fractions:

Okay, let’s first try using these steps to solve the first example: 1/4 + 2/4 = ?

How To Solve Fractions With Different Denominators

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Step Two: If they are the same, go to Step Three. If they differ, find the common denominator.

To complete this first example, simply add the numerators and express the result as a single fraction with the same denominator as follows:

How To Solve Fractions With Different Denominators

As you can see from this first example, learning how to add fractions when the denominators are the same is very easy.

Adding Fractions With Unlike Denominators.

Let’s look at another example of adding fractions when the denominators are the same before you learn how to add fractions with different denominators.

How To Solve Fractions With Different Denominators

To solve this second example, we will use the 3-step process as in the previous example as follows:

In this case, the correct answer is 6/9, but this fraction can actually be reduced. Since both 6 and 9 are divisible by 3, 6/9 can be reduced to 2/3.

How To Solve Fractions With Different Denominators

Ways To Add And Simplify Fractions

In this example, you cannot skip the second step. Before you can continue, you’ll need to find a common denominator—a number that divides both denominators equally.

An easier way to do this is to multiply the denominator of the first fraction by the second fraction and the denominator of the second fraction by the first fraction (ie multiply the denominators together).

How To Solve Fractions With Different Denominators

Figure 05: How to add fractions with different denominators: Get a common denominator by multiplying the denominators.

Adding Fractions With Like Denominators Worksheets

Now we’ve converted the original question to a scenario that involves adding two fractions that have common denominators, which means the hard work is done and we can solve it by adding the numerators while keeping the denominator the same:

How To Solve Fractions With Different Denominators

Figure 06: Once you have common denominators, you can simply add the numerator and keep the denominator the same.

As in the last example, the second step is to find the common denominator by multiplying the denominators like this:

How To Solve Fractions With Different Denominators

Learn How To Add Fractions

Figure 07: How to add fractions with different denominators: Get a common denominator by multiplying the denominators.

Since there is no value that divides evenly between 53 and 55, the fraction cannot be simplified further.

How To Solve Fractions With Different Denominators

To add fractions with the same denominator, simply add the numerators (top values) and leave the denominator (bottom value) the same.

Achievethecore.org :: Adding Fractions With Unlike Denominators Day 1 Of 2 (zafrin)

To add fractions with different denominators, you must find a common denominator. A common denominator is a number by which both denominators can be divided equally.

How To Solve Fractions With Different Denominators

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This article was co-authored by David Jia and writer Jessica Gibson. David Jia is an academic tutor and founder of LA Math Tutoring, a private tutoring company based in Los Angeles, California. With over 10 years of teaching experience, David works with students of all ages and grades in a variety of subjects, as well as providing college admissions counseling and test preparation for the SAT, ACT, ISEE, etc. He received an excellent 800 in Math and a 690 in English on the SAT, David received a Dickinson Scholarship to the University of Miami where he majored in business administration. Additionally, David has worked as an online video instructor for textbook publishing companies such as Larson Texts, Big Ideas Learning, and Big Ideas Math.

How To Solve Fractions With Different Denominators

Worksheets For Fraction Addition

Adding fractions with different denominators may seem complicated, but once you create the same denominators, addition is a breeze. If you are working

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