Sum of Algebraic Fractions
Overview
Overview
To express the sum or difference of algebraic fractions as a single fraction, there are 2 key steps:
To express the sum or difference of algebraic fractions as a single fraction, there are 2 key steps:
Step 1: Factorise the denominators.
Step 1: Factorise the denominators.
Step 2: Make common denominators.
Step 2: Make common denominators.
Recall
Recall
In arithmetic, we add 2 fractions by making a common denominator using the LCM.
In arithmetic, we add 2 fractions by making a common denominator using the LCM.
In algebra, we are also able to add the fractions together after ensuring both denominators are common.
In algebra, we are also able to add the fractions together after ensuring both denominators are common.
Similar to finding the LCM, we need to first factorise the denominators of the algebraic fractions.
Similar to finding the LCM, we need to first factorise the denominators of the algebraic fractions.
Test Yourself!
Test Yourself!
Use the applet below to practise the skill of adding / subtracting 2 algebraic fractions together.
Use the applet below to practise the skill of adding / subtracting 2 algebraic fractions together.