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Home >> Fractions >> Addition of Fractions >> Addition (Different Denominators) / Unlike Fractions >>

Addition - Unlike Fractions or with Different Denominators

Addition (Same Denominators) / Like Fractions Addition (Different Denominators) / Unlike Fractions Addition (Whole Number and Fraction) Addition (Mixed Fractions)

Before you understand this topic you must know

What are Unlike Fractions ?

Addition of Fractions with Different Denominators or Addition of Unlike Fractions involve following steps


Step 1 = LCM of Denominators of given Fraction
Step 2 = Divide LCM (obtained in step 1) with the denominators of given fractions.
Step 3 = Multiply quotient (obtained from step 2) with the numerators of given fractions.


For Example : Add the following fractions

2
7
+ 3
5


LCM of denominators 7 and 5 = 35

Now, divide the LCM by denominator & multiply its quotient with numerators and we get:

{ (2 X 5) + (3 X 7) }
35


{10 + 21}
35
= 31
35



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