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1. NCERT Solutions - Mathematics, Class 6

CHAPTERS

1. Knowing Our Numbers

2. Whole Numbers

3. Playing With Numbers

4. Basic Geometrical Ideas

5. Understanding Elementary Shapes

6. Integers

7. Fractions

8. Decimals

9. Data Handling

10. Mensuration

11. Algebra

12. Ratio and Proportion

13. Symmetry

EXERCISES

1. Exercise 7.1

2. Exercise 7.2

3. Exercise 7.3

4. Exercise 7.4

5. Exercise 7.5

6. Exercise 7.6

Q1) Write shaded portion as fraction. Arrange them in ascending and descending order using correct sign ‘<’, ‘=’, ‘>’ between the fractions:

(a)

(b)

(c) Show \frac{2}{6},\ \frac{4}{6},\ \frac{8}{6}\ and\ \frac{6}{6} on number line. Put appropriate sign between the fraction given:

\frac{5}{6}\square\frac{2}{6}, \frac{3}{6}\square0, \frac{1}{6}\square\ \frac{6}{6}, \frac{8}{6}\square\ \frac{5}{6}

Q2) Compare the fractions and put an appropriate sign.

(a) \frac{3}{6}\ \square\ \frac{5}{6} (b) \frac{1}{7}\ \square\ \frac{1}{4} (c) \frac{4}{5}\ \square\ \frac{5}{5} (d) \frac{3}{5}\ \square\ \frac{3}{7}

Q3) Make five more such pairs and put appropriate signs.

Q4) Look at the figures and write ‘<’ or ‘>’, ‘=’ between the given pairs of fractions.

(a) \frac{1}{6}\ \square\ \frac{1}{3} (b) \frac{3}{4}\ \square\ \frac{2}{6} (c) \frac{2}{3}\ \square\ \frac{2}{4} (d) \frac{6}{6}\ \square\ \frac{3}{3} (e) \frac{5}{6}\ \square\ \frac{5}{5}

Make five more such problems and solve them with your friends.

Q5) How quickly can you do this? Fill appropriate sign. ( ‘<’, ‘=’, ‘>’)

(a) \frac{1}{2}\square\ \frac{1}{5}

(b) \frac{2}{4}\square\ \frac{3}{6}

(c) \frac{3}{5}\square\ \frac{2}{3}

(d) \frac{3}{4}\square\ \frac{2}{8}

(e) \frac{3}{5}\square\ \frac{6}{5}

(f) \frac{7}{9}\square\ \frac{3}{9}

(g) \frac{1}{4}\square\ \frac{2}{8}

(h) \frac{6}{10}\square\ \frac{4}{5}

(i) \frac{3}{4}\square\ \frac{7}{8}

(j) \frac{6}{10}\square\ \frac{3}{5}

(k) \frac{5}{7}\square\ \frac{15}{21}

Q6) The following fractions represent just three different numbers. Separate them into three groups of equivalent fractions, by changing each one to its simplest form.

(a) \frac{2}{12} (b) \frac{3}{15} (c) \frac{8}{50} (d) \frac{16}{100} (e) \frac{10}{60}

(f) \frac{15}{75} (g) \frac{12}{60} (h) \frac{16}{96} (i) \frac{12}{75} (j) \frac{12}{72} (k) \frac{3}{18} (l) \frac{4}{25}

Q7) Find answers to the following. Write and indicate how you solved them.

(a) Is \frac{5}{9} equal to \frac{4}{5}?

(b) Is \frac{9}{16} equal to \frac{5}{9}?

(c) Is \frac{4}{5} equal to \frac{16}{20}?

(d) Is \frac{1}{5} equal to \frac{4}{30}?

Q8) Ila read 25 pages of a book containing 100 pages. Lalita read \frac{2}{5} of the same book. Who read less?

Q9) Rafiq exercised for \frac{3}{6} of an hour, while Rohit exercised for \frac{3}{4} of an hour. Who exercised for a longer time?

Q10) In a class A of 25 students, 20 passed with 60% or more marks; in another class B of 30 students, 24 passed with 60% or more marks. In which class was a greater fraction of students getting with 60% or more marks?

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Mathematics

NCERT Solutions - Mathematics, Class 6

Knowing Our Numbers

Whole Numbers

Playing With Numbers

Basic Geometrical Ideas

Understanding Elementary Shapes

Integers

Fractions

Decimals

Data Handling

Mensuration

Algebra

Ratio and Proportion

Symmetry

Exercise 7.1

Exercise 7.2

Exercise 7.3

Exercise 7.4

Exercise 7.5

Exercise 7.6

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