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?
Men at a picnic 3/10
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)
= 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
● Representation of a Fraction
● Properties of Equivalent Fractions
● Comparison of Like Fractions
● Comparison of Fractions having the same Numerator
● 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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