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5 questions · timed · auto-graded

Question 11 Mark

$\frac{84}{98}$ (in irreducible form) = __________

Answer

$\frac{84}{98}$ (in irreducible form) $=\frac{6}{7}$
Solution:
The HCF of 84 and 98 is 14
$\therefore\frac{84+14}{98+14}=\frac{6}{7}$

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Question 21 Mark

$69\frac{3}{4}\div7\frac{3}{4}=\ ......$ __________

Answer

$69\frac{3}{4}\div7\frac{3}{4}=9$
Solution:
$69\frac{3}{4}\div7\frac{3}{4}=\frac{279}{4}\div\frac{31}{4}$
$=\frac{279}{4}\times\frac{4}{31}=\frac{279}{31}=9$

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Question 31 Mark

$41\frac{2}{3}\div18\frac{3}{5}=$ __________

Answer

$41\frac{2}{3}\div18\frac{3}{5}=775$
Solution:
$41\frac{2}{3}\times18\frac{3}{5}=\frac{125}{3}\times\frac{93}{5}$
$=\frac{125}{3}\times\frac{93}{5}=\frac{25\times31}{1\times1}=775$

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Question 41 Mark

Reciprocal of $8\frac{2}{5}$ is __________

Answer

Reciprocal of $8\frac{2}{5} \text{ is }\frac{5}{42}$
Solution:
Reciprocal of $8\frac{2}{5}$ = Reciprocal of
$\frac{42}{5}=\frac{5}{42}$

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Question 51 Mark

$13\frac{1}{2}\div8=$__________

Answer

$13\frac{1}{2}\div8=1\frac{11}{16}$
Solution:
$13\frac{1}{2}\div8=\frac{27}{2}\times\frac{1}{8}$
$=\frac{27}{16}=1\frac{11}{16}$

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