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How to do Simplification of algebraic fractions

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If we want to simplify Algebraic Fractions:
We have to take a look at the numerator and the denominator
Why? Because to simplify we need to have a common multiple.
When we find the common multiple, we now know by which factor we have to break down the fraction in the numerator and the denominator
I have some examples attached below for help.

How to do Simplification of algebraic fractions-example-1
How to do Simplification of algebraic fractions-example-2
User Ieugen
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