Algebraic Fractions (HSC SSCE Mathematics Advanced): Flashcards

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Algebraic Fractions
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Algebraic fraction definition

Fraction with algebraic expressions in num/denom/both

Golden rule for algebraic fractions

Treat exactly like ordinary numerical fractions

Working order for algebraic fractions

Factorise first, cancel factors, then operate

Simplifying algebraic fractions method

Factorise both parts, cancel common factors

Can you cancel terms?

No, only cancel factors, never terms

Multiplying algebraic fractions rule

Multiply numerators together & denominators together

Dividing algebraic fractions rule

Flip the second fraction, then multiply

Adding with same denominators

Add/subtract numerators, keep denominator

Adding with different denominators

Find common denominator first, then combine numerators

Most common algebraic fraction error

Cancelling terms instead of factors

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