Addition, Subtraction and Simplification of Fractions

Addition, Subtraction and Simplification of Fractions

Addition and Subtraction

Addition and subtraction of like fraction

When adding or subtracting like fractions, we add or subtract the numerators of the like fractions and keep the denominator as it is.

For example:

Addition and subtraction of like fraction

Addition and subtraction of unlike fractions

When adding or subtracting unlike fractions we take the LCM of the denominators and convert the fractions into like fractions, then simplify.

For example, the denominators of the fractions given below are 4 and 3. The LCM of 4 and 3 is 12. Then the given fractions are converted into like fractions and simplified as given below.

Addition of unlike fractions
Subtraction of unlike fractions

Simplification of Fractions

While simplifying fractions under the relation of basic operations ÷, ×, +, - and with brackets, we need to follow the BODMAS rule.

1.

B

Brackets

[{()}]

2.

O

Of

×

3.

D

Division

÷

4.

M

Multiplication

×

5.

A

Addition

+

6.

S

Subtraction

-


The following worked out examples will give the concepts of addition, subtraction and simplification of the fractions.

 

Workout Examples

Example 1: Addition of fractions

Example 2: Subtraction of fractions

Example 3: Simplify of fractions

Example 4: Simplify fractions


Example 5: Simplify fractions


Example 6: Simplify fractions


You can comment your questions or problems regarding the addition, subtraction and simplification of fractions here.


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