What Should You Expect From This Lesson?

At the end of this lesson you will be able to: [1] Simplify algebraic fractions with numerical denominator, including the use of brackets; [2] Add and subtract algebraic fractions with numerical denominators.

How To Carry Out This Lesson At Home:

Note: It is advisable to revise the lesson Week 11 – Algebraic Expressions, especially collecting like terms and factorisation.

Lesson [1] Simplify algebraic fractions with numerical denominators

Watch the following video:
Simplifying Algebraic Fractions using factorisation – https://www.youtube.com/watch?v=lBQmy1IMko8 (watch from 1:55 to 3:02)

View the following presentation:
Simplifying Algebraic Fractions Presentation Slides 1 to 3 (presentation attached in the Resources Section)

Suggested Practice:
Algebraic Fractions Worksheet pack – Worksheet 1 (document attached in the Resources Section)

Check your answers (document attached in the Resources Section)

Lesson [2] Simplify algebraic fractions by with algebraic denominators (cancelling out the bracket)

Watch the following video:
Simplifying Algebraic Fractions – https://www.youtube.com/watch?app=desktop&v=tlKN8NNNxdI&t=34s (watch up to 2:14)

View the following presentation:
Simplifying Algebraic Fractions Presentation Slide 4 (presentation attached in the Resources Section)

Suggested Practice:
Algebraic Fractions Worksheet pack – Worksheet 2

Check your answers (document attached in the Resources Section)

Lesson [3] Simplifying algebraic fractions – Harder examples

View the following presentation:
Simplifying Algebraic Fractions Presentation Slides 5 – 7 (presentation attached in the Resources Section)

Suggested Practice:
Algebraic Fractions Worksheet pack – Worksheet 3 (document attached in the Resources Section)

Check your answers (document attached in the Resources Section)

Lesson [4] Add and subtract algebraic fractions with numerical denominators

View the following presentation:
Adding and Subtracting Algebraic Fractions Presentation Slides 1 – 3 (presentation attached in the Resources Section)

Suggested Practice:
Adding and Subtracting Algebraic Fractions Presentation – Exercise A on Slide 4.
Algebraic Fractions Worksheet pack – Worksheet 4 (document attached in the Resources Section)

Check your answers (on presentation and on document attached in the Resources Section)

Lesson [5] Adding and subtracting algebraic fractions using brackets

Watch the following video:
How to simplify an algebraic fraction – https://www.youtube.com/watch?app=desktop&v=1l1XzthGg9Y

View the following presentation:
Adding and Subtracting Algebraic Fractions Presentation Slides 5 – 6 (presentation attached in the Resources Section)

Suggested Practice:
Adding and Subtracting Algebraic Fractions Presentation – Exercise B on Slide 7
Algebraic Fractions Worksheet pack – Worksheet 5 (document attached in the Resources Section)

Check your answers (on presentation and on document attached in the Resources Section)

Acknowledgements: Ms Gabriella Delia Cumbo