Simplifying simple algebraic fractions
Cancel common factors only — never cancel terms across a plus sign.
Key formulas
What this lesson covers
This lesson builds Secondary 2–3 skill in algebraic fractions. Read the key formulas, study the worked example, then attempt the written practice and the four-question MCQ review.
Method
Write every step. Name the rule you use (algebraic fractions) before substituting numbers. Keep units and signs visible until the final sentence.
Common mistakes
Students often rush the sign, use the wrong percentage base, or cancel terms instead of factors. Pause after each line and ask whether the step is reversible.
Exam habit
Underline the question verb (simplify, solve, factorise, find). Box the final answer and, where sensible, substitute back for a quick check.
Worked example
Worked example — algebraic fractions
Problem. Apply the method for algebraic fractions with the numbers 4 and 5.
Solution. Identify the rule for algebraic fractions. Substitute 4 and 5 carefully with signs in brackets if needed. Complete each operation on a new line. State the final answer clearly and check by reversing one step.
Review quiz
1 / 4Warm-up on algebraic fractions: what is 5+2?
Practice questions
- Practice 1 on algebraic fractions: compute with the value 40.
- Practice 2 on algebraic fractions: change the numbers and repeat the same method.
- Practice 3 on algebraic fractions: write one sentence explaining the key rule.
- Practice 4 on algebraic fractions: invent a similar exam-style question and solve it.
Study notes
What is the main idea of algebraic fractions?
Apply the stated formula or rule with clear steps, then check by reversing or substituting.
How should I revise this topic?
Cover the worked example, redo the practice without notes, then complete the MCQ set and log any wrong options.