Simplifying an algebraic fraction is just like simplifying a normal fraction
Golden rule
If the top or the bottom of the fraction has more than one term, you will need to factorise before simplifying
Operations on algebraic fractions
To add or subtract algebraic fractions with different denominators
* Find a common denominator
* Add or subtract the numerators
* Simplify if possible
* The smallest common denominator isn’t always the product of the two denominators
* You can use a common denominator to simplify the expressions
To multiply fractions
* Multiply the numerators and multiply the denominators
* Simplify if possible
To divide fractions
* Change the second fraction to its reciprocal
* Change / to x
* Multiply the fractions and simplify