Apply the Four Operations to Simple Algebraic Fractions with Numerical Denominators (10)

Apply the four operations to simple algebraic fractions with numerical denominators (VCMNA331)

LO: To apply the four operations to simple algebraic fractions with numerical denominators


  • The four operations
  • What is an algebraic expression
  • What is a denominator
  • How to simplify algebraic expressions
  • What are like terms
  • What are unlike terms


  • That algebraic expressions with denominators can be simplified


  • I can simplify algebraic expressions with numerical denominators.

Algebraic Expressions

Remember: Algebraic expressions don’t have an equal sign (=).

Operations with Fractions

Remember the rules for the operations with fractions.

If the denominators are the same you can just to add the numerators, however if they are different you need to make them the same before you can add the numerators.

The same process can be repeated with subtracting fractions!

With the multiplication of fractions, it’s pretty simple numerator multiplied by numerator.

With the division of fractions, it’s the same process as multiplication, but you have to inverse (flip) the second fraction.


In this example, we have algebraic expressions in the numerator, but different numbers in the denominators.

So the first step that we need to do is to make the denominators the same.

In this case, the common denominator between 9 and 6 is 18, so we need to multiply the numerators by the corresponding numbers (2 and 3) in order to make the denominators the same before we can simplify the expressions.

After making the denominators the same then you collect the like terms to simplify the expression.

Solving Fractional Algebraic Expressions with Numerical Denominators Videos

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