6.2: Multiplication and division of algebraic fraction

1) Lesson Objectives:

You should be able to

• simplify algebraic fractions linked by multiplication and division

Always look through all examples in textbook before lesson.

Steps to simplify algebraic fraction:

1. Factorise BOTH numerator and denominator.

2. Change divide sign to multiplication sign.

3. The term after the divide sign must take the reciprocal of it. [ie: numerator and denominator must switch]

4. Multiply numerator with numerator and denominator with denominator [If required]

5. Cancel common factors or common brackets [Common brackets must have same term and same sign]

NOTE: Condition for cancelling common factors or common brackets.

• Common factors and common brackets MUST be linked by either multiplication or division in order to be cancelled.

• You cannot cancel common factors or common brackets linked by + or -. Unless it is a common bracket.

• Common factors or common brackets must cancel one from numerator and one from denominator.

• You cannot cancel common factor or common brackets that is from numerator with numerator or denominator with denominator.