Addition Of Fractions Different Denominators

Addition Of Fractions Different Denominators – 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.

Because fractions are such an important math topic, understanding how to add fractions is essential to mastering the most difficult math concepts you’ll encounter in the future.

Addition Of Fractions Different Denominators

Addition Of Fractions Different Denominators

Fortunately, learning how to add fractions with like and different (different) denominators is a simple process. The free How to Add Fractions Step by Step guide will teach 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.

Add And Subtract With Unlike Denominators 1 Worksheet

But before we learn how to add fractions, let’s quickly review some important elements and vocabulary words related to fractions before moving on to step-by-step examples of how to add fractions.

Addition Of Fractions Different Denominators

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

Definition: The part number is the top number in the part. For example, in the 3/4 section, the number is 4.

Addition Of Fractions Different Denominators

Adding Fractions With Unlike Denominators Anchor Chart

Definition: The denominator of a fraction is the lowest number of the fraction. For example, in the 3/4 section, the number is 4.

Simple enough, right? These conditions are visually represented in Figure 01 below. Make sure you understand the difference between the numerator and the denominator of a fraction before continuing in this guide. If you mix them up, you won’t learn how to add fractions correctly.

Addition Of Fractions Different Denominators

Figure 01: The numerator is the upper number of the fraction and the denominator is the lower number of the fraction.

Learn How To Add Fractions

Now that you know the difference between a number and a fraction exponent, you’re ready to learn how to identify if a problem involving adding fractions falls into one of the following categories:

Addition Of Fractions Different Denominators

Fractions with like denominators have lower numbers that are equal to the same value. For example, in the case of 1/5 + 3/5, you would add the fractions with the fraction as the denominator because both fractions have a number less than 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).

Addition Of Fractions Different Denominators

Adding And Subtracting Fractions With Unlike Denominators Review Interactive Worksheet

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

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

Addition Of Fractions Different Denominators

Our first example is very simple, but it’s great for learning how to use our simple 3-step process, which you can use to solve any problem involving adding parts:

Adding And Subtracting Fractions With Unlike Denominators — Process

OK, let’s take our first attempt at using these steps to solve the first example: 1/4 + 2/4 = ?

Addition Of Fractions Different Denominators

Step Two: If OK, go to Step Three. If they are different, find the common denominator.

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

Addition Of Fractions Different Denominators

The Adding Fraction Worksheet Generator.

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

Let’s look at one more example of adding fractions when the denominator is the same before learning how to add fractions with different denominators.

Addition Of Fractions Different Denominators

To solve this second example, let’s use the 3-step process as we did in the previous example, as follows:

An Exciting, Fun New Way To Add Unlike Fractions

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

Addition Of Fractions Different Denominators

In this example, you cannot skip the second step. Before proceeding, you will need to find a common denominator – a number that all denominators can divide evenly.

The easiest way to do this is to multiply the denominator of the first part by the second part and the denominator of the second part by the first part (ie, multiply the denominators together).

Addition Of Fractions Different Denominators

Parent Homework Help: Adding And Subtracting Fractions With Unlike Denominators

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

Now, we have turned the original question into a situation that consists of adding two fields that have common pointers, which means that the hard work is over and we can solve it by adding the numbers and placing one pointer:

Addition Of Fractions Different Denominators

Figure 06: Once you have common indicators, you can add numbers and set one indicator.

Our Latest Fraction Projects!

As in the last example, the second step is to find the common denominator by multiplying the denominators together as follows:

Addition Of Fractions Different Denominators

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

Since no value is evenly divisible by 53 and 55, you cannot simplify the fraction further.

Addition Of Fractions Different Denominators

Addition And Subtraction Of Dissimilar Fractions

To add the same numerator and denominator, simply add the numerators (higher values) and keep the denominator (lower value) the same.

To add fractions with different denominators, you must find a common denominator. The common denominator is a number that both denominators can divide equally.

Addition Of Fractions Different Denominators

Search tags: how to add fractions, how to add fractions with different denominators, how to add fractions, how to add fractions with different denominators, how to. add fractions how can you add fractions and how can you add fractions We know that when we add fractions with the same denominator you can add the number and put on the denominator. If necessary, you can simplify the part.

How To Add Fractions In 3 Easy Steps — Mashup Math

There is one additional step that needs to be done, and we will go over it here. How to add fractions with different denominators

Addition Of Fractions Different Denominators

When adding fractions with different denominators, you must first find the smallest denominator of the fractions and convert them to equal.

The first step is to find the smallest or most common multiple of our denominator, which in this example is 6 and 9.

Addition Of Fractions Different Denominators

Adding Fractions With Same Denominator Math Worksheets, Math Practice For Kids

We can see from the multiples above that 18 is our common multiple of 2 denominators.

We can create an equivalent fraction of 3/9 to have a denominator of 18 by multiplying the numerator and denominator by 2. The result is 6/18.

Addition Of Fractions Different Denominators

We can create an equivalent fraction of 1/6 by multiplying the numerator and denominator by 3. The result is 3/18.

Adding Or Subtracting Fractions With Different Denominators

Now that we have both parts equal and the same denominator, we can add the numbers and get 9/18.

Addition Of Fractions Different Denominators

We can look at that result and see that 9 is a factor of 18, so it can be further simplified. The simplified form of 9/18 is equal to 1/2.

Be sure to watch my YouTube video above for more examples of adding fields with different denominations.

Addition Of Fractions Different Denominators

How To Add Fractions With Different Denominators

Similar Posts