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Algebraic fractions MATHS GCSE
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Includes in depth summary of the key topic, starter questions and exam style questions. Great for teaching material as well as efficient revision practice. Topic include: Algebraic Fractions Covers: -Simplifying -Factorising - Addition and subtraction - Multiplying and dividing - Exam questi...

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  • December 27, 2023
  • 13
  • 2023/2024
  • Presentation
  • Unknown

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Simplifying rational expressions
● Simplifying rational expressions or algebraic fractions works in the same way as
simplifying normal fractions.
● A common factor must be found and divided throughout.




1) 3)




2)

,Simplifying rational expressions with factorising
● Some rational expressions do not have obvious common factors.
● In these cases, it is necessary to factorise either the numerator or the denominator, or both, to
find common factors.



1)

,Adding and subtracting rational expressions
● Adding and subtracting algebraic fractions is a similar process to
adding and subtracting normal fractions.
● Fractions can only be added or subtracted when there is a common denominator and algebraic fractions
are the same in this method.



1)




2)

,Multiplying and dividing rational expressions
● The method to multiply fractions is to multiply the numerators together, multiply the denominators together
and then cancel down if necessary.
● The method to divide fractions is to keep the first fraction the same, turn the divide sign into a multiply and
turn the second fraction upside down.
● This is known as multiplying by the reciprocal. The sum then becomes multiplying two fractions, which is
done using the method above.



1) 2)

,1) Exam questions

, 2)

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