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 and reduce to its lowest term.
Explanation:
Sum of Like Fraction =
Sum of Like Fraction =
Sum of Like Fraction =
Hence, the sum of
On Simplifying further,
HCF of 6 and 12 is 6
Dividing both Numerator and Denominator by their HCF i.e, 6
=
Hence, the sum of =
Addition of like Fraction – Example 2
Find the sum of and
and reduce to its lowest term.
Explanation:
Sum of Like Fraction =
=
=
Hence, the sum of and
is
On Simplifying further,
HCF of 8 and 6 is 2
Dividing both Numerator and Denominator by their HCF i.e,
=
Hence, the sum of and
=
Example on Addition of Unlike Fractions
Addition of Unlike Fraction – Example 1:
Find the sum of 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
We have to multiply , both the numerator and denominator of by 1
=
We have to multiply , both the numerator and denominator of by 2
=
Now +
=
On Simplifying further,
HCF of 9 and 12 is 3
Dividing both Numerator and Denominator by their HCF i.e, 3
=
Hence, the sum of =
Addition of Unlike Fraction – Example 2:
Find the sum of and
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
We have to multiply , both the numerator and denominator of by 4
=
We have to multiply , both the numerator and denominator of by 3
=
Now +
=
On Simplifying further,
HCF of 10 and 12 is 2
Dividing both Numerator and Denominator by their HCF i.e,
=
Hence, the sum of and
=
Learn More..
- Proper Fraction | Improper Fraction | Mixed Fraction
- Like Fractions & Unlike Fractions
- Unit Fraction
- Fraction in Simplest Form
- Finding Fraction of a Whole Number
- Comparing Fractions
- What is an Equivalent Fraction
- Finding Equivalent Fraction with given Denominator
- Finding Equivalent Fraction with given Numerator
- Convert Mixed Fraction to Improper Fraction
- Convert Improper Fraction to Mixed Fraction
- Subtraction of Like Fractions or Unlike Fractions
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