## Maharashtra State Board Class 6 Maths Solutions Chapter 4 Operations on Fractions Practice Set 11

Question 11.

What fractions do the points A and B show on the number lines below?

Solution:

(1) Each unit is divided in 6 parts

A is 5th division from 0

∴ \(A=\frac { 5 }{ 6 }\)

B is 10th division from 0

∴ \(B=\frac { 10 }{ 6 }\)

(2) Each unit is divided in 5 parts

A is 3rd division from 0

∴ \(A=\frac { 3 }{ 5 }\)

B is 7th division from 0

∴ \(B=\frac { 7 }{ 5 }\)

(3) Each unit is divided in 7 parts

A is 10th division from 0

∴ \(A=\frac { 10 }{ 7 }\)

B is 3rd division from 0

∴ \(B=\frac { 3 }{ 7 }\)

Question 2.

Show the following fractions on the number line:

i. \(\frac{3}{5}, \frac{6}{5}, 2 \frac{3}{5}\)

ii. \(\frac{3}{4}, \frac{5}{4}, 2 \frac{1}{4}\)

Solution:

i. \(\frac{3}{5}, \frac{6}{5}, 2 \frac{3}{5}\)

ii. \(\frac{3}{4}, \frac{5}{4}, 2 \frac{1}{4}\)

**Maharashtra Board Class 6 Maths Chapter 4 Operations on Fractions Practice Set 11 Intext Questions and Activities**

Question 1.

If we want to show the fractions \(\frac{3}{10}, \frac{9}{20}, \frac{19}{40}\) on the number line, how big should the unit be? (Textbook pg. no. 24)

Solution:

The denominators of the given fractions are not equal.

The numbers in the denominators 10, 20 and 40 have common multiple 40.

∴ Making the denominators equal, we get

∴ To represent these fractions on the numbers line, each main unit should be divided into 40 equal sub-units.

Therefore,

\(\frac{3}{10}=\frac{12}{40}\) is represented on 12th mark from 0.

\(\frac{9}{20}=\frac{18}{40}\) is represented on 18th mark from 0 and

\(\frac { 19 }{ 40 }\) is represented on 19 mark from 0.