Exercise 5D
Question 1
1. Multiply as indicated and reduce the product to its lowest terms:
(i) $9 \times \frac{2}{3}$
(ii) $16 \times \frac{7}{16}$
(iii) $\frac{7}{9} \times \frac{3}{14}$
(iv) $\frac{8}{12} \times \frac{9}{10}$
(v) $\frac{3}{5} \times \frac{4}{7} \times \frac{5}{16}$
(vi) $\frac{5}{6} \times \frac{3}{4} \times \frac{8}{25}$
(vii) $2 \frac{3}{10} \times \frac{3}{5}$
(viii) $2 \frac{1}{7} \times \frac{7}{22} \times 2 \frac{4}{9}$
Question 2
Find the value of
(i) one-fourth of 1 minute
(ii) $\frac{4}{50}$ of $1 \mathrm{~kg}$
(iii) $\frac{5}{6}$ of a leap year
(iv) $\frac{7}{8}$ of 1 day
3. Find the reciprocal of
(i) $\frac{4}{5}$
(ii) 7
(iii) $3 \frac{2}{7}$
(iv) $3 \frac{1}{2}+1 \frac{5}{8}$
4. Divide:
(i) $35 \div \frac{1}{5}$
(ii) $24 \div \frac{3}{4}$
(iii) $\frac{8}{12}+\frac{5}{18}$
(iv) $12 \div 2 \frac{1}{3}$
(v) $1 \frac{3}{4} \div 2 \frac{3}{16}$
(vi) $8 \frac{1}{4} \div 1 \frac{5}{6}$
(vii) $5 \frac{1}{4} \div 1 \frac{1}{8}$
(viii) $5 \frac{5}{8} \div 6 \frac{1}{4}$
5.Simplify:
(i) $1 \frac{1}{24} \times 2 \frac{1}{4}+1 \frac{1}{14}$
(ii) $1 \frac{1}{8} \div 2 \frac{1}{4} \times 4 \frac{1}{3}$
(iii) $1 \frac{13}{27} \times 2 \frac{11}{12} \div 3 \frac{1}{9}$
(iv) $\frac{5}{3}$ of $\frac{6}{10} \div 1 \frac{3}{5}$
6. The product of two fractions is $10 \frac{5}{7}$. If one of the fraction is $1 \frac{5}{7}$, find the other fraction.
7. Simplify:
(i) $\frac{\frac{3}{5}}{\frac{1}{5}}$
(ii) $\frac{\frac{6}{21}}{\frac{3}{28}}$
(iii) $\frac{12}{\frac{4}{9}}$
(iv) $\frac{\frac{4}{5}-\frac{1}{4}}{1 \frac{9}{20}+1 \frac{3}{10}}$
8.Manu said that $\frac{4}{5}+\frac{7}{10}$ is equal to $\frac{5}{4} \times \frac{10}{7}$. Is this correct? If no, explain the mistake and give the correct answer?
Multiple Choice Questions (MCQs)
Tick (✔) the correct option.
9.Which one is true?
(a) $1 \frac{3}{5} \times 1 \frac{4}{9}=2 \frac{1}{4}$
(b) $2 \frac{7}{12} \times 1 \frac{3}{10}=6 \frac{10}{22}$
(c) $5 \frac{1}{3} \times 1 \frac{5}{8}=6 \frac{7}{10}$
(d) $3 \frac{1}{6} \times 1 \frac{3}{15}=3 \frac{4}{5}$
10. Anita lives $5 \frac{5}{8} \mathrm{~km}$ from her school. Sanya lives $1 \frac{5}{9}$ times as far as Anita. How far does Sanya live from the school?
(a) $5 \frac{3}{16} \mathrm{~km}$
(b) $6 \mathrm{~km}$
(c) $8 \frac{3}{4} \mathrm{~km}$
(d) $5 \frac{25}{72} \mathrm{~km}$
11. Which of the following is not equal to the expression $3 \frac{3}{4}+\frac{1}{2}$ ?
(a) $18 \div 2 \frac{2}{5}$
(b) $1 \frac{7}{8} \div \frac{1}{4}$
(c) $3 \frac{3}{7} \div 1 \frac{1}{3}$
(d) $1 \frac{1}{9}+\frac{4}{27}$
12. A candle burns for $2 \frac{2}{5}$ hours. How many candles would you need to give light for 24 hours?
(a) $10 \frac{1}{2}$
(b) 10
(c) 8
(d) $11 \frac{3}{4}$
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