Adding Algebraic Fractions (Leaving Cert Mathematics): Flashcards

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Adding Algebraic Fractions
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What are algebraic fractions?

Fractions with variables in numerator, denominator, or both

Key rule for adding algebraic fractions

Must have a common denominator first

Step 1 of adding algebraic fractions

Find the common denominator (LCM)

Step 2 of adding algebraic fractions

Convert each fraction to common denominator

Step 3 of adding algebraic fractions

Add/subtract numerators, keep common denominator

Step 4 of adding algebraic fractions

Simplify the final answer

LCM of (x+3)(x+3) and (x−4)(x-4)

(x+3)(x−4)(x+3)(x-4)

LCM of (x+3)(x+3) and xx

x(x+3)x(x+3)

When adding fractions with common denominators, what stays the same?

The denominator

Common mistake when converting to common denominator

Forgetting to multiply both numerator and denominator

Memory aid for adding algebraic fractions

LCD First - Least Common Denominator first

How to check your algebraic fraction work

Substitute simple value (e.g. x=1x=1) into both expressions

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Fundamentals of Algebra

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Fundamentals of Algebra

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