Let us study about operations with Algebraic Fractions,
Operations with Algebraic Fractions :
There are many techniques that will simplify
your work as you perform operations with algebraic fractions. As you review these examples, note the steps involved in each operation and any methods that will save you time.
Reducing algebraic fractions
To reduce an algebraic fraction to lowest terms, first factor the numerator and the denominator; then cancel, (or divide out) common factors.
Example : Reduce.
Warning: Do not cancel through an addition or subtraction sign as shown here.
Hope the above explanation was useful.