# Adding Fractions With Unlike Denominators: How Do You Add Fractions With Unlike Denominators For Kids?

by Maria Thomas | **Updated **Sep 13, 2021 11:30 AM

## Adding Fractions With Unlike Denominators

Fractions is one of the most unnerving chapters that children might face in school days especially when it is for the first time. Fraction as the English term might mean - a part of a whole is also representable in the form of numbers. For instance, you have a pizza that is divided into 6 small pieces. One piece from that pizza can be represented as either one - sixth of the Pizza or 1 by 6 or 1/6. This would symbolise that we have taken 1 slice or from the whole pizza that is made up of 6 slices. One of the hardest functions in Fraction would be the task of Adding Fractions With Unlike Denominators. With like Denominators things are made easy but with unlike denominators, the process of Adding Fractions With Unlike Denominators is not as easy. There are two simple ways for Adding Fractions With Unlike Denominators and one of these is also classified as a shortcut to add fractions with unlike denominators.

## How Do You Add Fractions With Unlike Denominators For Kids?

Fraction is a term that is borrowed from Latin which means to break, only when a whole is broken do we get the pieces which are considered the fraction of a whole. A Fraction is generally represented numerically in the form of a number by a number which as seen in the case of the previous Pizza example can be noted as

**1 by 6 or 1/6**

You will notice that there are two parts to a fraction

**The Upper part - which here is 1**

**The Lower part - which here is 6**

Both these parts are referred to by designated names / terms that are given below

The Upper part is called the **Numerator**

The Lower part is called the **Denominator**

In the process of Adding Fractions With Unlike Denominators we will need both the numerators and the denominators. Thus, it is imperative that we know what the numerator and the denominator mean.

**Numerator **is the part of the whole, and represents the sections of the whole

**Denominator **is the whole that has been broken into parts from which the numerator is derived.

Now that all the terms regarding fractions have been cleared out of the way let us find out how to add fractions with unlike denominators. Adding Fractions With Unlike Denominators is as easy as can be, but only by following the steps required for Adding Fractions With Unlike Denominators.

## How To Add Fractions With Unlike Denominators?

Fractions come in different types one of which is the unlike fractions that have unlike denominators. Adding and subtracting fractions with unlike denominators is a whole process whose steps we have given in the section below

Generally in the process of Adding and subtracting fractions with unlike denominators the first step would be finding out the common denominators. To find the common denominator we will need to find the least common multiple - LCM.

**Example **: If you are given the task of Adding Fractions With Unlike Denominators for the following fractions - 4/5 and 5/7

We will notice here that the denominators of 4/5 and 5/7 are different making these unlike fractions

The LCM of 5 and 7 are 35.

The next step in Adding Fractions With Unlike Denominators would be to arrive at this common denominator

Multiply 4/5 into 7 = 28/35

Multiply 5/7 into 5 = 25/35

Now we will need to add these two fractions

28/35 + 25/35 = 53/35

This is how you add fractions with unlike denominators. The process for adding and subtracting fractions with unlike denominators are the same.

## What Is The Shortcut To Add Fractions With Unlike Denominators?

The process for Adding Fractions With Unlike Denominators that we have given in the section above is not the only way to add fractions with unlike denominators there is a Shortcut To Add Fractions With Unlike Denominators where one can cross multiply.

Let us take the another example 3/4 and 2/7

In this example we will have to cross multiply the denominators with the other fraction to bring it to the common denominator which will ultimately help you in Adding Fractions With Unlike Denominators.

Step 1 - Let us take the denominator of 3/4 - 4 and multiply it with 2/7

2/7 into 4 = 8/28

Step 2 - Next let us take the denominator of 2/7 - 7 and multiply it with 3/4

3/4 into 7 = 21/28

Now let us add the result of both these number

8/28 + 21/28 = 29/28

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## Adding Fractions With Unlike Denominators - FAQs

Fractions are a topic in Mathematics wherein we are taught about portions and whole

Fraction is a word coined from the Latin word Fracto which means to break

Numerator and denominator are the two parts in fractions

Numerator is the part of the whole, and represents the sections of the whole

Denominator is the whole that has been broken into parts from which the numerator is derived.

Cross multiply in fraction is whe you multiply the denominator of one fraction with another and vice versa