EduNinja

[Maximum number: 3]

Write as a single fraction in its simplest form.
$\frac{4a}{5}\div\frac{3ad}{10c}$

$\frac{8c}{3d}$ final answer
B2 for $\frac{8ac}{3ad}$ or $\frac{40c}{15d}$
or M1 for $\frac{4a}{5}\times\frac{10c}{3ad}$ oe

[Maximum number: 3]

$6 \quad \mathrm{f}(x)=3 x+2 \quad \mathrm{~g}(x)=x^{2}+1 \quad \mathrm{~h}(x)=4^{x}$

Find $\frac{\mathrm{g}(x)}{\mathrm{f}(x)}+x$ .

Give your answer as a single fraction, in terms of x, in its simplest form.

$\frac{4x^2+2x+1}{3x+2}$ final answer
B1 for numerator seen.
M1 for common denominator.

[Maximum number: 3]

Write as a single fraction in its simplest form.

$\frac7{x+3}+\frac5{8x-1}$

$\frac{61x+8}{(x+3)(8x-1)}$ final answer
B1 for common denominator of (x+3)(8x-1) isw
B1 for 7(8x-1)+5(x+3) or better isw

CAIE IGCSE Mathematics Extended E2.3 Algebraic Fractions Topic Practice