Year 11 - Maths
Simplifying algebraic fractions
Algebraic fractions
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This pupil-friendly study guide includes a unit summary, clear notes, common mistakes, and quick questions with answers.
Unit Summary
In this unit, pupils apply skills in manupulating and solving various equations and formulae to algebraic fractions in order to change the subject and manipulate them.
Lesson Summary
You will learn to simplify expressions involving algebraic fractions.
Key Notes
- An algebraic fraction can have more than one term in the denominator.
- Your equivalent fraction knowledge can be used to simplify the fraction.
Vocabulary To Learn
- Simplify: To simplify an expression is to write it in a more efficient form without affecting the value of the original expression. Fully simplifying means the expression cannot be simplified further.
- Factorise: To factorise is to express a term as the product of its factors.
Common Mistakes To Avoid
- Simplifying $$\\frac{(x+4)}{(x+5)}$$ by crossing out the $$x$$ terms and getting $$\\frac{4}{5}$$
3 Quick Questions (With Answers)
1. Solve this in steps: explain the method from this lesson and why each step matters.
An algebraic fraction can have more than one term in the denominator. Your equivalent fraction knowledge can be used to simplify the fraction.
2. Use this key word in a maths sentence and explain it clearly. 'Simplify'
To simplify an expression is to write it in a more efficient form without affecting the value of the original expression. Fully simplifying means the expression cannot be simplified further. Use this word when showing your method, then check your final answer is reasonable.
3. Spot and fix this common maths mistake.
Mistake: Simplifying $$\\frac{(x+4)}{(x+5)}$$ by crossing out the $$x$$ terms and getting $$\\frac{4}{5}$$. Correction: Refrain from crossing out factors. Instead pupils should write the numerator and denominator as products of the hightest common factor and see that HCF/HCF = 1.
More Lessons In This Unit
- Changing the subject where the variable appears in multiple terms Study Guide
- Changing the subject with multiple algebraic fractions Study Guide
- Checking and securing understanding of changing the subject with simple algebraic fractions Study Guide
- Checking and securing understanding of solving with simple algebraic fractions Study Guide
- Operations with algebraic fractions Study Guide
- Problem solving with advanced algebraic fractions Study Guide
- Solving equations with algebraic fractions Study Guide
Browse all guides in the Year 11 Maths guide library.