S.chand class 6 Mathematics Chapter 5 Exercise 5A

 EXERCISE 5 A

1 Write a fraction that represents the shaded part of the figures below .
(i)
(ii)
(iii)
(iv)

2. Write the fraction which represents the unshaded portion in each of the figures in Q. 1 above.

3. Write the equivalent fractions represented by each picture
(i)
(ii)

4.Find three equivalent fractions for each fraction.
(i) $\dfrac{12}{15}$
(ii) $\dfrac{3}{18}$
(iii) $\dfrac{18}{24}$
(iv) $\dfrac{8}{11}$

5.Find the missing numbers that make the fractions equivalent.
(i) $\dfrac{5}{35}=\dfrac{1}{\boxed}$
(ii) $\dfrac{3}{8}=\dfrac{36}{\boxed}$
(iii) $\dfrac{24}{32}=\dfrac{\boxed}{4}$
(iv) $\dfrac{34}{51}=\dfrac{\boxed}{3}$

6. Write an equivalent fraction of
(i) $\dfrac{3}{4}$ with numerator as 36
(ii) $\dfrac{6}{7}$ with denominator as 49

7. Check which of the following pairs are equivalent fractions.
(i) $\dfrac{4}{7} \text{ and } \dfrac{32}{56}$
(ii) $\dfrac{9}{13} \text{ and } \dfrac{63}{84}$
(iii) $\dfrac{8}{12} \text{ and } \dfrac{12}{21}$
(iv) $\dfrac{30}{36} \text{ and } \dfrac{5}{6}$

8. Classify as proper fractions or improper fractions.
(i) $\dfrac{3}{7}$
(ii) $\dfrac{14}{5}$
(iii) $\dfrac{41}{8}$
(iv) $\dfrac{2}{3}$
(v) $\dfrac{8}{8}$
(vi) $\dfrac{14}{21}$

9.Convert the following into an improper fraction.
(i) $1\dfrac{3}{7}$
(ii) $3\dfrac{4}{5}$
(iii) $10\dfrac{10}{17}$
(iv) $8\dfrac{11}{16}$
(v) $11\dfrac{5}{8}$

10. Convert the following into a mixed number.
(i) $\dfrac{7}{5}$
(ii) $\dfrac{71}{10}$
(iii) $\dfrac{98}{11}$
(iv) $\dfrac{105}{8}$
(v) $\dfrac{345}{14}$

11. Convert the following sets of unlike fractions into like fractions.
(i) $\dfrac{1}{4},\dfrac{1}{6},\dfrac{7}{9},\dfrac{5}{12},\dfrac{11}{18}$
(ii) $\dfrac{2}{3},\dfrac{3}{4},\dfrac{7}{12},\dfrac{9}{16},\dfrac{3}{24}$
(iii) $\dfrac{3}{5},\dfrac{7}{10},\dfrac{13}{15},\dfrac{17}{20},\dfrac{19}{25}$

12. Which of the following fractions are in the simplest form?
(i) $\dfrac{64}{73}$
(ii) $\dfrac{17}{84}$
(iii) $\dfrac{56}{63}$
(iv) $\dfrac{27}{64}$
(v) $\dfrac{119}{126}$

13. Reduce the following fractions to the simplest forms.
(i) $\dfrac{64}{73}$
(ii) $\dfrac{35}{135}$
(iii) $\dfrac{38}{95}$
(iv) $\dfrac{140}{252}$
(v) $\dfrac{48}{72}$

EXERCISE 5 B

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

 Exercise 5B

Question 1

Write a fraction that represents the shaded part of the figures below.

<image to be added>

2. Write the fraction which represents the unshaded portion in each of the figures in Q1 above.

3. Write the equivalent fractions represented by each picture.

<image to be added>

4. Find three equivalent fractions for each fraction.

(i) $\frac{12}{15}$

(ii) $\frac{3}{18}$

(iii) $\frac{18}{24}$

(iv) $\frac{8}{11}$

5. Find the missing numbers that make the fractions equivalent.

(i) $\frac{5}{35}=\frac{1}{4}$

(ii) $\frac{3}{8}=\frac{36}{\square}$

(iii) $\frac{24}{32}=\frac{\square}{4}$

(iv) $\frac{34}{51}=\frac{\square}{3}$

6. Write an equivalent fraction of

(i) $\frac{3}{4}$ with numerator as 36

(ii) $\frac{6}{7}$ with denominator as 49

7. Check which of the following pairs are equivalent fractions.

(i) $\frac{4}{7}$ and $\frac{32}{56}$

(ii) $\frac{9}{13}$ and $\frac{63}{84}$

(iii) $\frac{8}{12}$ and $\frac{12}{21}$

(iv) $\frac{30}{36}$ and $\frac{5}{6}$

8. Classify as proper fractions or improper fractions.

(i) $\frac{3}{7}$

(ii) $\frac{14}{5}$

(iii) $\frac{41}{8}$

(iv) $\frac{2}{3}$

(v) $\frac{8}{8}$

(vi) $\frac{14}{21}$

9. Convert the following into an improper fraction.

(i) $1 \frac{3}{7}$

(ii) $3 \frac{4}{5}$

(iii) $10 \frac{10}{17}$

(iv) $8 \frac{11}{16}$

(v) $11 \frac{5}{8}$

10. Convert the following into a mixed number.

(i) $\frac{7}{5}$

(ii) $\frac{71}{10}$

(iii) $\frac{98}{11}$

(iv) $\frac{105}{8}$

(v) $\frac{345}{14}$

11. Convert the following sets of unlike fractions into like fractions.

(i) $\frac{1}{4}, \frac{1}{6}, \frac{7}{9}, \frac{5}{12}, \frac{11}{18}$

(ii) $\frac{2}{3}, \frac{3}{4}, \frac{7}{12}, \frac{9}{16}, \frac{13}{24}$

(iii) $\frac{3}{5}, \frac{7}{10}, \frac{13}{15}, \frac{17}{20}, \frac{19}{25}$

12. Which of the following fractions are in the simplest form?

(i) $\frac{64}{73}$

(ii) $\frac{17}{84}$

(iit) $\frac{56}{63}$

(iv) $\frac{27}{64}$

(v) $\frac{119}{126}$

13.Reduce the following fractions to the simplest forms.

(i) $\frac{18}{24}$ 

(ii) $\frac{35}{135}$

(iii) $\frac{38}{95}$

(iv) $\frac{140}{252}$

(v) $\frac{48}{72}$

(vi) $\frac{124}{156}$

Multiple Choice Questions (MCQs) 

Tick (✔) the correct option. 

14. Which of the following is not an improper fraction?

(a) $\frac{23}{20}$

(b) $6 \frac{3}{8}$

(c) $\frac{19}{21}$

(d) $\frac{25}{25}$

15. Which fraction is not equivalent to $\frac{25}{35}$ ?

(a) $\frac{10}{14}$

(b) $\frac{50}{70}$

(c) $\frac{20}{25}$

(d) $\frac{15}{21}$