## ML Aggarwal Class 7 Solutions for ICSE Maths Chapter 2 Fractions and Decimals Ex 2.4

Question 1.

Find the reciprocal of each of the following:

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

(iii) \(\frac { 13 }{ 9 }\)

(iii) 8

Solution:

Reciprocal of:

Question 2.

Evaluate the following:

Solution:

Question 3.

How many pieces each 5\(\frac { 1 }{ 6 }\) metres long can be cut from a cloth 77\(\frac { 1 }{ 2 }\) metres long?

Solution:

Total length of cloth = 77\(\frac { 1 }{ 2 }\) m

Length of one piece = 5\(\frac { 1 }{ 6 }\) m

Question 4.

By what number should 4\(\frac { 7 }{ 8 }\) be multiplied to get 87\(\frac { 3 }{ 4 }\) ?

Solution:

Question 5.

In a hostel’s mess, each student gets \(\frac { 1 }{ 3 }\) litre of milk every day. If the total consumption of the milk is 57\(\frac { 2 }{ 3 }\) litres per day, how many students are there in the hostel?

Solution:

Every students gets \(\frac { 1 }{ 3 }\) l of milk per day

Total consumption of milk per day = 57 \(\frac { 2 }{ 3 }\) l

Question 6.

The cost of 5\(\frac { 1 }{ 4 }\) kg apples is ₹ 336. What is the rate of apples per kg?

Solution:

Cost of 5\(\frac { 1 }{ 4 }\) kg of apples = ₹ 336

Cost of one kg = 336 + 5\(\frac { 1 }{ 4 }\)

= 336 ÷ \(\frac { 21 }{ 4 }\)

= ₹ 336 × \(\frac { 4 }{ 21 }\)

= ₹ 64

Question 7.

The length of a rectangular plot of area 68\(\frac { 3 }{ 4 }\) sq. m is 12\(\frac { 1 }{ 2 }\) m, find its width.

Solution:

Area of a rectangular field = 68\(\frac { 3 }{ 4 }\) sq. m

Question 8.

If the cost of 5\(\frac { 1 }{ 2 }\) kg of sugar is ₹ 206\(\frac { 1 }{ 4 }\),then find the cost of 8\(\frac { 1 }{ 4 }\) kg of sugar.

Solution:

Question 9.

Renu completed \(\frac { 2 }{ 3 }\) part of her homework in 2 hours. How much part of her homework had she completed in 1\(\frac { 1 }{ 4 }\) hours?

Solution:

In 2 hours, homework in completed = \(\frac { 2 }{ 3 }\)

In 1 hour it will be completed