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.