A lot of people are terrified when they are required to add fractions. Many even take out a calculator, convert the fractions to decimals and add them together that way. Don’t worry, though; adding fractions is not nearly as difficult as many make it appear. The best thing about knowing how to add fractions is that once you know how to add fractions, you can subtract them from each other just as easily.

This is very important: The key to adding fractions is to make sure that the denominators of the two fractions you are adding (the numbers on the bottom) are equal. This is not necessary for fraction multiplication, and thus it is a source of confusion for many.

Before you attempt to make the denominators the same, it is advisable to put both fractions in lowest terms (also called simplifying). Now, in order to make the denominators equal, you’re going to want to multiply each denominator by the opposite denominator. Keep track of what number you’re multiplying each denominator by, as you’ll need to multiply the numerator of the fractions by that number as well. Once you’ve done that, you simply add the numerators. In practice, this looks like 3/4+1/7=(7/7)*(3/4)+(4/4)*(1/7)=21/28+4/28=25/28

There are other ways to equalize the denominators, but this is a technique that works in all cases in which you are adding two fractions together. To add more than two fractions, it is easiest to add two together and then add that result to the third (that will keep the denominator “juggling” simple).

A lot of people are terrified when they are required to add fractions. Many even take out a calculator, convert the fractions to decimals and add them together that way. Don’t worry, though; adding fractions is not nearly as difficult as many make it appear. The best thing about knowing how to add fractions is that once you know how to add fractions, you can subtract them from each other just as easily.

This is very important: The key to adding fractions is to make sure that the denominators of the two fractions you are adding (the numbers on the bottom) are equal. This is not necessary for fraction multiplication, and thus it is a source of confusion for many.

Before you attempt to make the denominators the same, it is advisable to put both fractions in lowest terms (also called simplifying). Now, in order to make the denominators equal, you’re going to want to multiply each denominator by the opposite denominator. Keep track of what number you’re multiplying each denominator by, as you’ll need to multiply the numerator of the fractions by that number as well. Once you’ve done that, you simply add the numerators. In practice, this looks like 3/4+1/7=(7/7)*(3/4)+(4/4)*(1/7)=21/28+4/28=25/28

There are other ways to equalize the denominators, but this is a technique that works in all cases in which you are adding two fractions together. To add more than two fractions, it is easiest to add two together and then add that result to the third (that will keep the denominator “juggling” simple).

As mentioned earlier, subtracting fractions is just as easy. All you have to do is equalize the denominators and subtract the second numerator from the first numerator.

## Subtracting Fractions

The procedure of fraction addition is more or less the same as that used in the subtraction of fractions. This implies that if you have the know-how of adding fractions, you will have an easier time subtracting them. Subtraction of fractions is also one of the most common operations that we are likely to come across in many mathematical computations. All the same, if you have a problem subtracting fractions, there is absolutely no need to worry because what you need is only a few steps and procedure away.

To begin with, it is important to understand the structure of the fraction. A fraction can either be proper improper or mixed. In cases where you are required to perform subtraction of improper fractions, the first step should be to change it into an improper fraction first. A fraction has basically two numbers. One on top and the other at the bottom. The one on top is called the numerator, and the one at the bottom is the denominator. For example:

Given a/b, a is the numerator and b are the denominators.

Having understood the structure of a basic fraction, we shall consider two methods that can be used to subtract fractions basing on the number of fractions being subtracted. These methods require the understanding of the structure of a fraction.

Method of Common Denominator

Method of Least Common Denominator

1. Method of Common Denominator

This method is well applicable when you are subtracting one fraction from another, meaning, you are dealing with two fractions only. Since by now we know the meaning of a denominator, it will also be-be helpful to understand the meaning of “Common Denominator.” What is a Common Denominator? When the denominators of the two fractions in question are the same or identical, we say that there exists a common denominator.

Therefore, the main aim of this method is to ensure that the denominators of the fractions are the same before performing the subtraction. When the denominators are not the same, subtraction cannot be done. How do we then ensure that the fractions have the same denominators? Multiply each fraction – the numerator and the denominator – by the denominator of the other fraction.

For illustration consider;

a/b – c/d = (a*d)/(b*d) – (c*b)/(d*b)

Once the denominators of the two fractions is now common, (b*d), the ‘new’ numerator are simply added.

Example; 1/2 – 1/3

(1*3)/(2*3) – (1*2)/(3*2) = 3/6 – 2/6 = 5/6

1. Method of Least Common Denominator

This method is used when subtracting two or more fractions. The knowledge of the Least Common Multiple (LCM) is needed in this method. The LCM of the denominators is determined and used in the calculations. To find the LCM of the denominators, follow the steps below;

List the multiples of each denominator

Select the multiples that are common – appearing for all the denominators

Choose the smallest among the common list of the multiples. This is the LCM

After getting the LCM, divide the LCM by each denominator and multiply the result by the numerator of each fraction separately before you proceed to simply subtract the ‘new’ numerators and using the LCM as the denominator. Simplify the resultant fraction.

To clearly illustrate the long theory, we will need an example;

Question; 1/2 – 1/4 – 1/5

List the multiples of each denominator

2 = 2, 4, 6, 8, 10, 12, 14, 16, 18, 20, 22…

4 = 4, 8, 12, 16, 20, 24, 28, 32, 36, 40…

5 = 5, 10, 15, 20, 25, 30, 35, 40…

Select the common multiples

20…

Choose the smallest = 20. This is the LCM.

[(1*10) – (1*5) – (1*4)]/20 = 9/20.

## Add Improper and Mixed Fractions in Seconds

Adding the fraction is easy and simple. But it becomes hard when you have to solve tough and complicated fractions. Most of students do it in simple way and some are using traditional tricks and methods to solve. This will take more and more time to add the large and complicated fractions. Do you want to get efficient way to add fractions? You can get best one for accomplishing your needs. There are various tools and option of software available for you to use it for your reasons. You can choose the best and unique features in software for adding fractions. The online application you solve your issues is best and convenient way. There is compatible software for your devices you can hire to reduce study time.

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• Add proper fractions: there are different types of fractions. If you are working your homework and facing problems to add fractions again and again then you can choose the features online tools. The fraction with smaller numerator and larger denominator is called as proper fraction. It is very easy to solve with the help of featured software. You can get easy access for doing all functions for add the different numbers.
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Fast process and easy procedure to get results

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## Adding Fractions- Learn How to add fractions with these Simple Steps

Fractions are the basic concept in mathematics and it is used in every problem and sums Whether it is algebra, linear equations, derivates and so on. That’s why it is important for you to learn the basics of fraction and one of the basics of fractions is adding fractions. Well, this is the topic which is studied in fourth standards and its difficulty level increased with the higher classes.
If you find difficulty in adding fractions, then don’t worry here in this article I am going to explain three simple steps which will help you to solve them correctly. Before going into it, let me tell you that the fractions are added in two different ways:
1. When the denominators are same
2. When the denominators are different
In both the cases, a different method is considered regarding its addition. Now, let us see hoe solve the first case when the denominators are same:
Fractions with the same denominator:
• You all know how fractions look, they have numerator and denominator or in simple words, the two numbers have slashed between them like 6/12.
• When two fractions are added, then they look like 6/12+4/12. In these factions, six &4 are numerators and both the 12s are the denominator.
• When the denominators are same, you don’t need to do any further calculations, and you don’t need to do any special calculations.
• While adding fractions, we have to find the L.C.M of the denominators, and after you obtain the LCM then it will be taken as common and its written in the denominator. After that, you only have to add the numerators, and this is all the solution of adding equations.
• For better understanding let’s take an example: The two fractions are 6/12 and 4/12. In the next step, you have to add it like 6/12+4/12, and you have to find the denominators LCM. While the denominators are same, the LCM of then is also same that is 12. Now you will obtain denominator 12 and write it down in the denominator and then add the numerators like 6+4/12=10/12 and now divide 10 from 12 and the answer obtain 6/6.
Well you see, it is not that difficult and just like it we solve fractions which have different denominators.

Fractions with different denominators:
• As above, I have explained the looks of fraction and introduced you to numerator and denominator. While in the case of different denominator you have to find the LCM of them but its calculations is different and let it understand through an example for adding fractions.
• Suppose the fraction is 4/6 +3/4. Both the fractions have different denominator and you have to find the LCM of 6 & 4 and their LCM is 12 and the take it common are write down in denominator and after that you should divide 12 by 4 and you get 3 and then multiply 3 with 6 and you obtained18 and in the same way multiply 12 by 3 and you will get 4 and then multiply with the numerator 3 and the answer obtain 12. The solution looks like this 18 + 12/12 =30/12, and now you can solve it.
Well, I have explained you briefly about adding fractions with an example, and you can solve it easily, but it will require practice.