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