S.chand class 6 Mathematics Chapter 5 Exercise 5B

 Exercise 5B

Question 1

Replace * by >,< or = to make the statements true.

(i) $\frac{3}{10} * \frac{4}{11}$

(ii) $\frac{3}{13} * \frac{4}{39}$

(iii) $\frac{3}{7} * \frac{5}{6}$

(iv) $\frac{1}{10} * \frac{1}{5}$

(v) $\frac{10}{11} * \frac{11}{19}$

(vi) $\frac{6}{23} * \frac{21}{23}$

Question 2

Arrange the following fractions in ascending order.

(i) $\frac{1}{6}, \frac{3}{4}, \frac{5}{12}$

(ii) $\frac{2}{3}, \frac{1}{4}, \frac{5}{6}, \frac{7}{12}$

(iii) $\frac{3}{8}, \frac{5}{6}, \frac{7}{16}, \frac{11}{24}$

(iv) $\frac{3}{5}, \frac{3}{10}, \frac{7}{15}, \frac{9}{20}$

Question 3

Arrange the following fractions in descending order.

(i) $\frac{2}{3}, \frac{5}{6}, \frac{7}{9}$

(ii) $\frac{3}{14}, \frac{4}{21}, \frac{11}{42}, \frac{13}{28}$

(iii) $\frac{1}{7}, \frac{7}{15}, \frac{11}{21}, \frac{17}{35}$

(iv) $\frac{5}{6}, \frac{7}{8}, \frac{9}{11}, \frac{11}{24}$

Question 4

In an IPL Cricket Tournament, Mumbai Indians won $\frac{15}{16}$ of the matches it played and Gujarat Lions won $\frac{3}{4}$ of the matches it played. Which team has a better record?

Question 5

Sonam spends $\frac{8}{11}$ of her income and saves the rest. Mahi spends $\frac{9}{11}$ of her income and saves the rest. Which girl saves the greater part of her income?

Question 6

Find :

(i) $\frac{4}{5}$ of 40

(ii) $\frac{4}{13}$ of ₹ 52

(iii) $\frac{4}{15}$ of $90 \mathrm{~km}$

(iv) $\frac{6}{21}$ of 84 minutes

(v) $\frac{9}{17}$ of 153 days

(vi) $\frac{11}{90}$ of $4500 \mathrm{~mL}$

Multiple Choice Questions (MCQs)

Tick (✔) the correct option.

Question 7

Which of the following sets of fractions is in descending order?

(a) $3 \frac{1}{15}, 3 \frac{1}{10}, 3 \frac{1}{5}, \frac{1}{2}, \frac{3}{4}$

(b) $\frac{3}{4}, 3 \frac{1}{5}, 3 \frac{1}{10}, 3 \frac{1}{15}, \frac{1}{2}$

(c) $3 \frac{1}{5}, 3 \frac{1}{10}, 3 \frac{1}{15}, \frac{3}{4}, \frac{1}{2}$

(d) $3 \frac{1}{5}, 3 \frac{1}{10}, 3 \frac{1}{15}, \frac{1}{2}, \frac{3}{4}$

Question 8

Which of the following companisons is true?

(a) $\frac{1}{4}=\frac{7}{21}$

(b) $\frac{5}{9}<\frac{5}{8}$

(c) $\frac{55}{110}>\frac{14}{20}$

(d) $\frac{10}{14}=\frac{18}{21}$

Question 9

Which of the following is the smallest?

(a) $\frac{7}{9}$ of 27

(b) $\frac{1}{4}$ of 40

(c) $\frac{5}{7}$ of 63

(d) $\frac{1}{6}$ of 54