## Maharashtra State Board Class 6 Maths Solutions Chapter 4 Operations on Fractions Practice Set 9

Question 1.

Convert into improper fractions:

i. \(7 \frac{2}{5}\)

ii. \(5 \frac{1}{6}\)

iii. \(4 \frac{3}{4}\)

iv. \(2 \frac{5}{9}\)

v. \(1 \frac{5}{7}\)

Solution:

i. \(7 \frac{2}{5}\)

ii. \(5 \frac{1}{6}\)

iii. \(4 \frac{3}{4}\)

iv. \(2 \frac{5}{9}\)

v. \(1 \frac{5}{7}\)

Question 2.

Convert into mixed numbers:

i. \(\frac { 30 }{ 7 }\)

ii. \(\frac { 7 }{ 4 }\)

iii. \(\frac { 15 }{ 12 }\)

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

v. \(\frac { 21 }{ 4 }\)

v. \(\frac { 20 }{ 7 }\)

Solution:

i. \(\frac { 30 }{ 7 }\)

ii. \(\frac { 7 }{ 4 }\)

iii. \(\frac { 15 }{ 12 }\)

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

v. \(\frac { 21 }{ 4 }\)

v. \(\frac { 20 }{ 7 }\)

Question 3.

Write the following examples using fraction:

i. If 9 kg rice is shared among 5 people, how many kilograms of rice does each person get?

ii. To make 5 shirts of the same size, 11 meters of cloth is needed. How much cloth is needed for one shirt?

Solution:

i. Total quantity of rice = 9 kg

Number of people = 5

∴ Kilograms of rice received by each person = \(\frac { 9 }{ 5 }\)

∴ Each person will get \(\frac { 9 }{ 5 }\) kg of rice.

ii. Total meters of cloth = 11 meters

Number of shirts to be made = 5

Meters of cloth needed to make 1 shirt = \(\frac { 11 }{ 5 }\)

∴ Cloth needed to make 1 shirt is \(\frac { 11 }{ 5 }\) meters.