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iGCSE (2021 Edition)

13.07 Algebraic fractions with factorisation (Extended)

Interactive practice questions

Simplify the following expression:

$\left(\frac{1}{x}+\frac{1}{y}\right)\div\left(x+y\right)$(1x+1y)÷​(x+y)

Medium
1min

Simplify the following expression:

$\left(\frac{q}{5}+\frac{q}{10}\right)\times\left(\frac{q}{5}-\frac{q}{10}\right)$(q5+q10)×(q5q10)

Medium
1min

Simplify the following expression:

$\frac{x+3}{x+4}\div\frac{x+3}{3}-\frac{1}{x+4}$x+3x+4÷​x+331x+4

Easy
1min

Factorise $\frac{6x-16}{12}$6x1612 and simplify.

Easy
1min
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Outcomes

0607C2.9

Algebraic fractions: simplification, addition or subtraction of fractions with integer denominators, multiplication or division of two simple fractions.

0607E2.9

Algebraic fractions: simplification, including use of factorisation, addition or subtraction of fractions with linear denominators or single term, multiplication or division and simplification of two fractions.

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