Addition of Fractions Solved Examples
Here are some solved examples on addition of fractions:
Example 1: Add 2/3 and 1/3
Solution:
3 is the denominator in the both given fractions. (Like Fractions)
First Fractional Number: 2/3
Second Fractional Number: 1/3
So, 2/3 + 1/3
= (2+1) / 3
= 3/3
= 1
Example 2: Add 1/4 and 2/3
Solution:
First Fraction: 1/4
Second Fraction: 2/3
LCM of 4 & 3 is 12.
First Fractional Number: (1×3)/(4×3) = 3/12
Second Fractional Number: (2×4)/(3×4) = 8/12
So, 3/12 + 8/12 = (3+8) / 12
= 11/12
Example 3: Add 3/2 and 1
Solution:
1 is represented as, (1 × 1) / (2 × 2) = 2/2
Now,
= 3/2 + 1
= 3/2 + 2/2
= (3+2)/2
= 5/2
5/2 in mixed fraction is 2(1/2)
Example 4: Add 1(2/5) and 2(1/5)
Solution:
Change mixed fraction to improper fraction
1(2/5) = ((1 × 5)+2)/5 = 7/5
2(1/5) = ((2 × 5)+1)/5 = 11/5
7/5 + 11/5
= 18/5
= 3(3/5)
Addition of Fractions | How To Add Like and Unlike Fractions
Addition of Fractions is the method of adding two fractions together to get a single fraction. A fraction represents the division of one number by another, written with a numerator (top number) and a denominator (bottom number) separated by a horizontal line.
Let’s learn the different kinds of addition in fractions, with the help of examples.
Table of Content
- Addition of Fractions: Rules
- Adding Fractions with Same Denominators
- Adding Fractions with Different Denominators
- Adding Fractions with Whole Numbers
- How To Add Mixed Fractions
- Addition of Fractions with Variables
- Adding Fractions with Co-Prime Denominators
- Addition of Fractions Worksheet