Learning objective

Work with algebraic fractions by performing operations such as addition, subtraction, multiplication, and division. This includes simplifying and factorizing rational expressions, for example, manipulating expressions like (x/(x - 4)) + (3/(2x)) or (3a/(9a)) × (4/10).

Read the explanation, check the common trap, then practise with flashcards and questions.

Exam focus

Cambridge IGCSE MathematicsExtended Algebra and graphsSupplement content

Study support

Understand this objective

Quick explanation

This point belongs to Algebraic fractions, especially Algebraic fractions outcomes.
You need to be able to work with algebraic fractions by performing operations such as addition, subtraction, multiplication, and division. This includes simplifying and factorizing rational expressions, for example, manipulating expressions like (x/(x - 4)) + (3/(2x)) or (3a/(9a)) × (4/10).
The key ideas to know are Calculate, Determine, and Show.
Use the linked flashcards and practice questions to check recall, then practise applying the idea in an exam-style answer.

Key concepts

CalculateDetermineShowWrite

Why it matters

This objective helps connect Algebraic fractions outcomes to exam-style questions, flashcards, and revision notes for Algebraic fractions.

Revision tools

Flashcards10 linked cards

Flashcard 1 of 10

Press Space to flip, arrows to move

Practice Questions7 linked questions

Question 1 of 7

Choose an answer, get feedback, then move sideways through the set.

0 of 5 attempted

Paper 2Core or Extended Mathematics4 marks

Description

Calculate the sum of \( \frac{x}{x-4} + \frac{3}{2x} \).

a
Calculate Find \( \frac{x}{x-4} + \frac{3}{2x} \) and simplify your answer.
Your answer
Aim for approximately 4 distinct marking points.
[4]

Revision notestopic notes

Open the full topic revision notes when you are ready to review this objective in context.

No linked resources are published for this section yet.

Revision hubs