Addition of Like Fractions and Addition of Unlike Fractions
To add Like Fractions, we add the numerators and write the sum over the same denominator.
To add Unlike Fractions, first we have to change the Unlike Fractions, into equivalent Like Fractions, and then add the two equivalent Like Fractions
Example on Addition of Like Fractions
Addition of like Fraction – Example 1
Find the sum of 5/12 and 1/12 and reduce to its lowest term.
Explanation:
On Simplifying further,
HCF of 6 and 12 is 6
Dividing both Numerator and Denominator by their HCF i.e, 6
Addition of like Fraction – Example 2
Find the sum of 3/6 and 5/6 and reduce to its lowest term.
Explanation:
On Simplifying further,
HCF of 8 and 6 is 2
Dividing both Numerator and Denominator by their HCF i.e,
Example on Addition of Unlike Fractions
Addition of Unlike Fraction – Example 1:
Find the sum of 5/12 and 2/6 and reduce to its lowest term.
Explanation:
In order to add Unlike Fraction
Firstly, we have to change the Unlike Fraction, into equivalent Like Fractions, and then add the two equivalent Like Fractions
LCM of 12 and 6 is 12
Converting the Unlike Fraction into Equivalent Like Fraction
On Simplifying further,
HCF of 9 and 12 is 3
Dividing both Numerator and Denominator by their HCF i.e, 3
Addition of Unlike Fraction – Example 2:
Find the sum of 1/3 and 2/4 and reduce to its lowest term.
Explanation:
In order to add Unlike Fraction
Firstly, we have to change the Unlike Fraction, into equivalent Like Fractions, and then add the two equivalent Like Fractions
Take LCM of 3 and 4 is 12
Converting the Unlike Fraction into Equivalent Like Fraction
On Simplifying further,
HCF of 10 and 12 is 2
Dividing both Numerator and Denominator by their HCF i.e,
