Lesson 8 · Simplification of Algebraic Fractions

Simplification of Algebraic Fractions Presentation

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Class 10 Mathematics · Algebraic Fraction

Simplification of Algebraic Fractions

Like and unlike fractions · LCM of denominators · Factorise, combine, cancel

By the end you can

🔍

Tell like fractions from unlike ones

🧩

Factorise denominators and find their LCM

➕

Add and subtract algebraic fractions

✂️

Cancel the answer to its simplest form

Like or unlike?

🟰Like fractions
Same denominator
Work on numerators only
\( \frac{x}{x-y} + \frac{y}{x-y} = \frac{x+y}{x-y} \)
VS
↔️Unlike fractions
Different denominators
Rewrite over the LCM first
\( \frac{x}{x-y} - \frac{y}{x+y} \)

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Presenter notes: Today we add and subtract algebraic fractions. It is the same work you do with ordinary fractions, done with letters.