CAIE IGCSE Mathematics Extended E2.3.1 Manipulate Algebraic Fractions Questions

Practise Extended CAIE IGCSE Mathematics by finding common denominators, combining numerators and cancelling valid factors when manipulating algebraic fractions.

Exam points

Add or subtract algebraic fractions by using a common denominator and combine the resulting numerators into one simplified fraction.
Multiply or divide algebraic fractions, factorising and cancelling only shared factors while preserving excluded denominator values.

[Maximum number: 5]

Write as a single fraction in its simplest form.

(a)

$\frac{mp}{25y}\times\frac{15}{m}$

[ 2 ]

$\frac{3p}{5y}$ final answer cao

B1 for $\frac{15p}{25y}$ or $\frac{3mp}{5my}$ final answer or for correct answer spoilt

(b)

$\frac{3}{2x-5}+\frac{4}{x-3}$

[ 3 ]

$\frac{11x-29}{(2x-5)(x-3)}$ final answer
or $\frac{11x-29}{2x^2-11x+15}$ final answer

B1 for 3(x-3)+4(2x-5) or better seen
B1 for common denominator (2x-5)(x-3) oe isw

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CAIE IGCSE Mathematics Extended E2.3.1 Manipulate Algebraic Fractions Questions question 1

Question (a)

Question (b)