Notes : Algebraic Expressions III

Assalamualaikum people,
There must be some of you that happens to be lost in my lecture session. Here I've already provide some notes that might helps you to understand.

Algebraic Fractions - Addition

This is just like number fraction addition, but with symbols.
To add two fractions you must first find their common denominator. Then convert each to the new denominator and add the new numerators.
The common denominator is found by multiplying the two numerators together.

In this case, multiply the 3y by the 4x. This gives12xy.
Now convert each factor to a factor of 12xy by dividing the denominator of each into 12xy and multiplying the result by each numerator(2x,5y)

Example #1

Example #2

Algebraic Fractions - Subtraction  

The method here is similar to addition, except the numerators(top terms) in the new fraction are subtracted.


Example #1

Example #2

Algebraic Fractions - Multiplication  

Simply multiply across the denominators and the numerators, keeping them separate. Cancel any terms where possible.

Example #1

Example #2

Algebraic Fractions - Division 

Simply invert the term you divide by(the 2nd term), and procede as for multiplication.

Example #1

Example #2

"Revisions help you to get a better result" - Teacher Ziha