Adding and Subtracting Algebraic Fractions (Leaving Cert Mathematics): Flashcards

📚Flashcards
Revision NotesModel AnswersQuizzesFlashcardsExam Questions
Adding and Subtracting Algebraic Fractions
Sign up to keep revising.Create a free account to study more flashcards and track your progress.

Practise the cards

10 cards from this deck

Show

Condition for adding/subtracting algebraic fractions

Denominators must be the same

xa+ya=\frac{x}{a}+\frac{y}{a}=

x+ya\frac{x+y}{a}

xa−ya=\frac{x}{a}-\frac{y}{a}=

x−ya\frac{x-y}{a}

First step to add/subtract algebraic fractions

Find a common denominator

How to find common denominator

Product of the denominators

When creating common denominator, what to multiply

Multiply both the numerator and denominator

How to eliminate a fraction from an equation

Multiply both sides by the denominator

Cross multiplication: ab=cd\frac{a}{b}=\frac{c}{d} implies

ad=bcad=bc

ax=b\frac{a}{x}=b implies

a=bxa=bx

Strategy: where to place algebraic fractions vs constants

Algebraic fractions on one side, constants on other

Explore Leaving Cert Mathematics Revision Notes by Topics

The Basics

Algebraic Fractions

Factorisation

Explore Leaving Cert Mathematics Model Answers by Topics

The Basics

Algebraic Fractions

Factorisation

Explore Leaving Cert Mathematics Quizzes by Topics

The Basics

Algebraic Fractions

Factorisation

Explore Leaving Cert Mathematics Exam Questions by Topics

The Basics

Algebraic Fractions

Factorisation

Join 100,000+ Leaving Cert students studying Flashcards with us.

Select your subjects, and get access to A+ resources today.