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11 questions · self-marked practice — reveal the answer and mark yourself.

Question 12 Marks

Carry out the following Divisions:$\frac{11}{12} \div \frac{4}{7}$
Answer
$\frac{11}{12} \div \frac{4}{7}=\frac{11}{12} \times \frac{7}{4}=\frac{11 \times 7}{12 \times 4}=\frac{77}{48}$
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Question 22 Marks

Carry out the following Divisions:$\frac{3}{7} \div \frac{5}{11}$
Answer
$\frac{3}{7} \div \frac{5}{11}=\frac{3}{7} \times \frac{11}{5}=\frac{3 \times 11}{7 \times 5}=\frac{33}{35}$
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Question 32 Marks

Carry out the following Divisions:$\frac{5}{9} \div \frac{3}{2}$
Answer
$\frac{5}{9} \div \frac{3}{2}=\frac{5}{9} \times \frac{2}{3}=\frac{5 \times 2}{9 \times 3}=\frac{10}{27}$
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Question 42 Marks
Carry out the following Divisions:$\frac{2}{3} \div \frac{1}{4}$
Answer
$\frac{2}{3} \div \frac{1}{4}=\frac{2}{3} \times \frac{4}{1}=\frac{2 \times 4}{3 \times 1}=\frac{8}{3}$
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Question 52 Marks
Write the reciprocals of the following numbers:
2
Answer
Write the reciprocals of the following numbers:
$\frac{1}{2}$
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Question 102 Marks
Show the following fractions on the number line:
i. $\frac{3}{5}, \frac{6}{5}, 2 \frac{3}{5}$
ii. $\frac{3}{4}, \frac{5}{4}, 2 \frac{1}{4}$
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Question 112 Marks
Write the following examples using fraction:
i. If 9 kg rice is shared among 5 people, how many kilograms of rice does each person get?
ii. To make 5 shirts of the same size, 11 meters of cloth is needed. How much cloth is needed for one shirt?
Answer
i. Total quantity of rice = 9 kg
Number of people = 5
∴ Kilograms of rice received by each person $=\frac{9}{5}$
∴ Each person will get $\frac{9}{5}$ kg of rice.

ii. Total meters of cloth = 11 meters
Number of shirts to be made = 5
Meters of cloth needed to make 1 shirt $=\frac{11}{5}$
∴ Cloth needed to make 1 shirt is $\frac{11}{5}$ meters.

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