Addition of Fractions having the same Denominator

In addition of fractions having the same denominator, we just need to add the numerators.

Follow the steps of addition of like fractions:

At a picnic 3/10 of the people are men and 4/10 are women. What is the total fraction of picnickers?

Addition of Fractions

Men at a picnic 3/10


Addition of Fraction

Women at a picnic 4/10

3/10 + 4/10 = (3 + 4)/10 = 7/10
Therefore, the total fraction is 7/10

Note:
When the denominator is the same, we need to add the numerators.


Examples of adding fractions with the same denominator:

1. Add the like fractions 7/8 and 1/8

Solution:

7/8 + 1/8

= (7 + 1)/8 (just add up the numerators)

= 8/8

= 1/1

= 1


2. Add the like fractions 6/5 and 3/5

Solution:

6/5 + 3/5

= (6 + 3)/5 (just add up the numerators)

= 9/5


3. Add the like fractions 11/3 and 5/3

Solution:

11/3 + 5/3

= (11 + 5)/3

= 16/3 (just add up the numerators)


4. Add the like fractions 7/8 and 9/8

Solution:

7/8 + 9/8

= (7 + 9)/8 (just add up the numerators)

Addition of Fractions having the same Denominator

= 2/1

= 2


5. Add the like fractions 3/7 and 6/7

Solution:

3/7 + 6/7

= (3 + 6)/7 (just add up the numerators)

= 9/7

Related Concept

Fraction of a Whole Numbers

Representation of a Fraction

Equivalent Fractions

Properties of Equivalent Fractions

Like and Unlike Fractions

Comparison of Like Fractions

Comparison of Fractions having the same Numerator

Types of Fractions

Changing Fractions

Conversion of Fractions into Fractions having Same Denominator

Conversion of a Fraction into its Smallest and Simplest Form

Addition of Fractions having the Same Denominator

Subtraction of Fractions having the Same Denominator

Addition and Subtraction of Fractions on the Fraction Number Line



4th Grade Math Activities

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