S.chand class 6 Mathematics Chapter 5 Exercise 5D

 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) $11 \frac{3}{4}$