Adding like fractions    

Adding like fractions are like adding numerals.

We have to add only the numerators and write the resultant as the sum for the common denominator.

Examples:

Adding like fractions: 

        (i) 2 ⁄ 7 + 4 ⁄ 7

Solution:

       Since the denominators are same we have to add only the numerators.

        = (2+4)/7

        = 6/7


(ii) 3/11 + 5/11 + 2/11

Solution:

As the denominators are same we have to add only the numerators.

          =(3+5+2)/11

          = 10/11


(iii) Add (2/9) + (5/9)

Solution:

As the denominators are same we have to add only the numerators.

           = (2+5)/9

           =  7/9


(iv) Add 2/5 + 2/5 

Solution:

As the denominators are same we have to add only the numerators.

             =(2+2)/5

             =4/5


(v) Add 1/3 + 2/3

Solution:

As the denominators are same we have to add only the numerators.

      =  (1+2)/3

      =   3/3

      =1

Addition of  like fractions are explained with squares below.

(vi) Add 2/5 + 7/5 

Solution:

          As the denominators are same we have to add only the numerators.

         = (2+7)/5

         =  9/5


(vii) Add 1/6 + 5/6 

Solution:

As the denominators are same we have to add only the numerators.

      =  (1+5)/6

      =  6/6

We can simplify this using 6 times table.

So we will get 1.


Solution:

 As the denominators are same we have to add only the numerators.

     = (3+5)/11

     = 8/11

We cannot  simplify this by any table.

So we will get 8/11.


(ix) Add 5/11 + 6/11 

Solution:

As the denominators are same we have to add only the numerators.

      =  (5+6)/11

       =  11/11

We can simplify this using 11 times table.

So we will get 1.


Solution:

As the denominators are same we have to add only the numerators.

      =   (5+6)/11

       = 11/11 

We can simplify this using 11 times table.

So the final answer is 1.


(xi) Add 3/16 + 6/16

Solution:

As the denominators are same we have to add only the numerators.

         = (3+6)/16

          = 9/16 

We can not simplify this using any table.

So we will get 9/16

We had seen examples for adding like fractions. Students can practice the problems and try to solve the practice problems given below. Parents and teachers can guide the students to do the practice problems using the same method given in the examples. If you have any doubt you can contact us through mail, we will help you to clear the doubts.

Practice problems:

1.Add 3/10 + 5/10 
2. Add 1/5 + 3/5 
3. Add 2/7 + 4/7 
4. Add 3/17 + 9/17 
5. Add 4/20 + 11/20 

Related topics:

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