Selina Concise Mathematics Class 7 ICSE Solutions Chapter 3 Fractions (Including Problems)

Selina Publishers Concise Mathematics Class 7 ICSE Solutions Chapter 3 Fractions (Including Problems)

ICSE SolutionsSelina ICSE SolutionsML Aggarwal Solutions

APlusTopper.com provides step by step solutions for Selina Concise ICSE Solutions for Class 7 Mathematics. You can download the Selina Concise Mathematics ICSE Solutions for Class 7 with Free PDF download option. Selina Publishers Concise Mathematics for Class 7 ICSE Solutions all questions are solved and explained by expert mathematic teachers as per ICSE board guidelines.

Selina Class 7 Maths ICSE SolutionsPhysicsChemistryBiologyGeographyHistory & Civics

POINTS TO REMEMBER

  1. Fraction. A rational number in form of — where a and b are integers is called a fraction.
    ‘a’ is called the numerator and Lb’ is called the denominator of the fraction.
  2. Classification of Fractions :
    Decimal fraction : A fraction whose denominator is 10 or multiple of 10.
    Vulgur fraction : A fraction whose denominator is oilier than 10 or multiple of 10.
    Proper fraction : A fraction whose denominator is greater than its numerator.
    Improper fraction : A fraction whose denominator less than its numerator.
    Mixed fraction : A fraction which consists of an integer and a proper fraction.
    Note. If the numerator of a fraction is equal to its denominator, then the fraction is equal to unity i.e. 1.
  3. Equivalent Fractions
    Fractions having the same value are called the equivalent fractions.
  4. Simple and Complex Fractions
    A fraction whose numerator and denominator both are integers, is called a simple fraction.
    A fraction whose numerator or denominator or both are not integers, is called a complex fraction.
  5. Like and Unlike Fractions
    Fractions having the same denominators are called like fractions.
    The fractions with different denominators are called unlike fractions.
  6. Converting unlike fractions into like fractions
    Find the LCM of the denominators of all the give- fractions.
    For each given fraction, multiply its denominator by a suitable numbers so that the product obtained is equal to the LCM in (i).
    Multiply the numerator also by the same number.
  7. To insert a fraction between two given fractions .
    Add the numerators as well as denominators of the given fractions. Then simplify if required.
  8. Addition and Subtraction of fractions
  9. For like fractions, add or subtract (as required) their numerators, keeping the denominator same.
    For unlike fractions, first change all the fractions into like fractions and then add or subtract as above given in (i).
  10. Multiplication
    To multiply two or more fractions, multiply their numerators as well as their denominators.
  11. Division
    To divide on fraction or integer by some other fractions or integer, multiply the first by the reciprocal of the second as given above in multiplication.
  12. Using ‘BODMAS’
    The word ‘BODMAS’ is the abbreviation formed by taking the initial letters of six operations i.e. ‘Bracket’, ;OF, ‘Division’, ‘Multiplication’, ‘Addition’ and ‘Subtraction’. So, according to the rule of ‘BODMAS’, working must be done in the order corresponding to the letters in the word ‘BODMAS’.
  13. Brackets and their removal
    Brackets are four kinds i.e., bar bracket , circular brackets ( ), curly brackets { } and square brackets [ ] and these can be removed in this order i.e. firstly bar, then circular, then curly and lastly square brackets keeping in considerations of the sign given before them.

Fractions Exercise 3A – Selina Concise Mathematics Class 7 ICSE Solutions

Question 1.
Classify, each fraction given below, as decimal or vulgar fraction, proper or improper fraction and mixed fraction :
Selina Concise Mathematics Class 7 ICSE Solutions Chapter 3 Fractions image - 1

Solution:
(i) Vulgar and Proper
(ii)Decimal and Improper
(iii) Decimal and Proper
(iv) Vulgar and Improper
(v) Mixed
(vi) Decimal
(vii) Mixed and Decimal
(viii) Vulgar and Proper Ans.

Question 2.
Express the following improper fractions as mixed fractions :
Selina Concise Mathematics Class 7 ICSE Solutions Chapter 3 Fractions image - 2

Solution:
Selina Concise Mathematics Class 7 ICSE Solutions Chapter 3 Fractions image - 3

Question 3.
Express the following mixed fractions as improper fractions :
Selina Concise Mathematics Class 7 ICSE Solutions Chapter 3 Fractions image - 4

Solution:
Selina Concise Mathematics Class 7 ICSE Solutions Chapter 3 Fractions image - 5

Question 4.
Reduce the given fractions to lowest terms
Selina Concise Mathematics Class 7 ICSE Solutions Chapter 3 Fractions image - 6
Selina Concise Mathematics Class 7 ICSE Solutions Chapter 3 Fractions image - 7

Solution:
Selina Concise Mathematics Class 7 ICSE Solutions Chapter 3 Fractions image - 8

Question 5.
State : true or false
Selina Concise Mathematics Class 7 ICSE Solutions Chapter 3 Fractions image - 9

Solution:
Selina Concise Mathematics Class 7 ICSE Solutions Chapter 3 Fractions image - 10
Selina Concise Mathematics Class 7 ICSE Solutions Chapter 3 Fractions image - 11

Question 6.
Distinguish each of the following fractions, given below, as a simple fraction or a complex fraction :
Selina Concise Mathematics Class 7 ICSE Solutions Chapter 3 Fractions image - 12

Solution:
Selina Concise Mathematics Class 7 ICSE Solutions Chapter 3 Fractions image - 13

Fractions Exercise 3B – Selina Concise Mathematics Class 7 ICSE Solutions

Question 1.
For each pair, given below, state whether it forms like fractions or unlike fractions :
Selina Concise Mathematics Class 7 ICSE Solutions Chapter 3 Fractions image - 18

Solution:
Selina Concise Mathematics Class 7 ICSE Solutions Chapter 3 Fractions image - 19

Question 2.
Convert given fractions into fractions with equal denominators :
Selina Concise Mathematics Class 7 ICSE Solutions Chapter 3 Fractions image - 20

Solution:
Selina Concise Mathematics Class 7 ICSE Solutions Chapter 3 Fractions image - 21
Selina Concise Mathematics Class 7 ICSE Solutions Chapter 3 Fractions image - 22

Question 3.
Convert given fractions into fractions with equal numerators :
Selina Concise Mathematics Class 7 ICSE Solutions Chapter 3 Fractions image - 23

Solution:
Selina Concise Mathematics Class 7 ICSE Solutions Chapter 3 Fractions image - 24
Selina Concise Mathematics Class 7 ICSE Solutions Chapter 3 Fractions image - 25

Question 4.
Put the given fractions in ascending order by making denominators equal :
Selina Concise Mathematics Class 7 ICSE Solutions Chapter 3 Fractions image - 26

Solution:
Selina Concise Mathematics Class 7 ICSE Solutions Chapter 3 Fractions image - 27
Selina Concise Mathematics Class 7 ICSE Solutions Chapter 3 Fractions image - 28
Selina Concise Mathematics Class 7 ICSE Solutions Chapter 3 Fractions image - 29
Selina Concise Mathematics Class 7 ICSE Solutions Chapter 3 Fractions image - 30

Question 5.
Arrange the given fractions in descending order by making numerators equal :
Selina Concise Mathematics Class 7 ICSE Solutions Chapter 3 Fractions image - 31

Solution:
Selina Concise Mathematics Class 7 ICSE Solutions Chapter 3 Fractions image - 32
Selina Concise Mathematics Class 7 ICSE Solutions Chapter 3 Fractions image - 34

Question 6.
Find the greater fraction :
Selina Concise Mathematics Class 7 ICSE Solutions Chapter 3 Fractions image - 35
Selina Concise Mathematics Class 7 ICSE Solutions Chapter 3 Fractions image - 36

Solution:
Selina Concise Mathematics Class 7 ICSE Solutions Chapter 3 Fractions image - 37
Selina Concise Mathematics Class 7 ICSE Solutions Chapter 3 Fractions image - 38
Selina Concise Mathematics Class 7 ICSE Solutions Chapter 3 Fractions image - 39

Question 7.
Insert one fraction between :
Selina Concise Mathematics Class 7 ICSE Solutions Chapter 3 Fractions image - 40

Solution:
Selina Concise Mathematics Class 7 ICSE Solutions Chapter 3 Fractions image - 41

Question 8.
Insert three fractions between
Selina Concise Mathematics Class 7 ICSE Solutions Chapter 3 Fractions image - 42

Solution:
Selina Concise Mathematics Class 7 ICSE Solutions Chapter 3 Fractions image - 43
Selina Concise Mathematics Class 7 ICSE Solutions Chapter 3 Fractions image - 44
Selina Concise Mathematics Class 7 ICSE Solutions Chapter 3 Fractions image - 45
Selina Concise Mathematics Class 7 ICSE Solutions Chapter 3 Fractions image - 46
Selina Concise Mathematics Class 7 ICSE Solutions Chapter 3 Fractions image - 47

Question 9.
Insert two fractions between
Selina Concise Mathematics Class 7 ICSE Solutions Chapter 3 Fractions image - 48

Solution:
Selina Concise Mathematics Class 7 ICSE Solutions Chapter 3 Fractions image - 49

Fractions Exercise 3C – Selina Concise Mathematics Class 7 ICSE Solutions

Question 1.
Reduce to a single fraction :
Selina Concise Mathematics Class 7 ICSE Solutions Chapter 3 Fractions image - 144

Selina Concise Mathematics Class 7 ICSE Solutions Chapter 3 Fractions image - 51
Solution:
Selina Concise Mathematics Class 7 ICSE Solutions Chapter 3 Fractions image - 52
Selina Concise Mathematics Class 7 ICSE Solutions Chapter 3 Fractions image - 53
Selina Concise Mathematics Class 7 ICSE Solutions Chapter 3 Fractions image - 54
Selina Concise Mathematics Class 7 ICSE Solutions Chapter 3 Fractions image - 55

Question 2.
Simplify :
Selina Concise Mathematics Class 7 ICSE Solutions Chapter 3 Fractions image - 56
Selina Concise Mathematics Class 7 ICSE Solutions Chapter 3 Fractions image - 57

Solution:
Selina Concise Mathematics Class 7 ICSE Solutions Chapter 3 Fractions image - 58
Selina Concise Mathematics Class 7 ICSE Solutions Chapter 3 Fractions image - 59

Question 3.
Subtract :
Selina Concise Mathematics Class 7 ICSE Solutions Chapter 3 Fractions image - 60

Solution:
Selina Concise Mathematics Class 7 ICSE Solutions Chapter 3 Fractions image - 61

Question 4.
Find the value of
Selina Concise Mathematics Class 7 ICSE Solutions Chapter 3 Fractions image - 62
Selina Concise Mathematics Class 7 ICSE Solutions Chapter 3 Fractions image - 63

Solution:
Selina Concise Mathematics Class 7 ICSE Solutions Chapter 3 Fractions image - 65

Question 5.
Simplify and reduce to a simple fraction :
Selina Concise Mathematics Class 7 ICSE Solutions Chapter 3 Fractions image - 66
Selina Concise Mathematics Class 7 ICSE Solutions Chapter 3 Fractions image - 67
Solution:
Selina Concise Mathematics Class 7 ICSE Solutions Chapter 3 Fractions image - 68
Selina Concise Mathematics Class 7 ICSE Solutions Chapter 3 Fractions image - 69
Selina Concise Mathematics Class 7 ICSE Solutions Chapter 3 Fractions image - 70
Selina Concise Mathematics Class 7 ICSE Solutions Chapter 3 Fractions image - 71

Question 6.
A bought 3 \(\frac { 3 }{ 4 }\) kg of wheat and 2 \(\frac { 1 }{ 2 }\) kg of rice. Find the total weight of wheat and rice bought.

Solution:
Selina Concise Mathematics Class 7 ICSE Solutions Chapter 3 Fractions image - 72

Question 7.
Which is greater,\(\frac { 3 }{ 5 }\) or \(\frac { 7 }{ 10 }\) and by how much?

Solution:
Selina Concise Mathematics Class 7 ICSE Solutions Chapter 3 Fractions image - 73
Selina Concise Mathematics Class 7 ICSE Solutions Chapter 3 Fractions image - 74

Question 8.
What number should be added to 8 \(\frac { 2 }{ 3 }\) to 12 \(\frac { 5 }{ 6 }\)

Solution:
Selina Concise Mathematics Class 7 ICSE Solutions Chapter 3 Fractions image - 75

Question 9.
What should be subtracted from 8\(\frac { 3 }{ 4 }\) to get 2 \(\frac { 2 }{ 3 }\)

Solution:
Selina Concise Mathematics Class 7 ICSE Solutions Chapter 3 Fractions image - 76

Question 10.
A field is 16 \(\frac { 1 }{ 2 }\) m long and 12 \(\frac { 2 }{ 5 }\) m wide. Find the perimeter of the field.
Solution:
Selina Concise Mathematics Class 7 ICSE Solutions Chapter 3 Fractions image - 77

Question 11.
Sugar costs ₹37 \(\frac { 1 }{ 2 }\)per kg. Find the cost of 8\(\frac { 3 }{ 4 }\) kg sugar.

Solution:
Selina Concise Mathematics Class 7 ICSE Solutions Chapter 3 Fractions image - 78

Question 12.
A motor cycle runs 31\(\frac { 1 }{ 4 }\) km consuming 1 litre of petrol. How much distance will it run consuming 1\(\frac { 3 }{ 5 }\) liter of petrol?

Solution:
Selina Concise Mathematics Class 7 ICSE Solutions Chapter 3 Fractions image - 79

Question 13.
A rectangular park has length = 23 \(\frac { 2 }{ 3 }\) m and breadth = 16 \(\frac { 2 }{ 3 }\) m. Find the area of the park.

Solution:
Selina Concise Mathematics Class 7 ICSE Solutions Chapter 3 Fractions image - 80

Question 14.
Each of 40 identical boxes weighs 4 \(\frac { 4 }{ 5 }\) kg Find the total weight of all the boxes.

Solution:
Selina Concise Mathematics Class 7 ICSE Solutions Chapter 3 Fractions image - 82

Question 15.
Out of 24 kg of wheat, \(\frac { 5 }{ 6 }\) th of wheat is consumed. Find, how much wheat is still left?

Solution:
Selina Concise Mathematics Class 7 ICSE Solutions Chapter 3 Fractions image - 83

Question 16.
A rod of length 2 \(\frac { 2 }{ 5 }\) metre is divided into five equal parts. Find the length of each part so obtained.

Solution:
Selina Concise Mathematics Class 7 ICSE Solutions Chapter 3 Fractions image - 84

Question 17.
IfA = 3\(\frac { 3 }{ 8 }\) and B = 6\(\frac { 5 }{ 8 }\) find :
(i) A+B
(ii) B A
Solution:
Selina Concise Mathematics Class 7 ICSE Solutions Chapter 3 Fractions image - 85
Selina Concise Mathematics Class 7 ICSE Solutions Chapter 3 Fractions image - 86

Question 18.
Cost of 3 \(\frac { 5 }{ 7 }\) litres of oil is ₹83 \(\frac { 1 }{ 2 }\). Find the
cost of one litre oil.

Solution:
Selina Concise Mathematics Class 7 ICSE Solutions Chapter 3 Fractions image - 87

Question 19.
The product of two numbers is 20 \(\frac { 5 }{ 7 }\). If one of these numbers is 6 \(\frac { 2 }{ 3 }\), find the other.
Solution:
Selina Concise Mathematics Class 7 ICSE Solutions Chapter 3 Fractions image - 88

Question 20.
By what number should 5 \(\frac { 5 }{ 6 }\) be multiplied 1 to get 3\(\frac { 1 }{ 3 }\) ?

Solution:
Selina Concise Mathematics Class 7 ICSE Solutions Chapter 3 Fractions image - 89

Fractions Exercise 3D – Selina Concise Mathematics Class 7 ICSE Solutions

Question 1.
Simplify
Solution:
Selina Concise Mathematics Class 7 ICSE Solutions Chapter 3 Fractions image - 90

Question 2.
Selina Concise Mathematics Class 7 ICSE Solutions Chapter 3 Fractions image - 91
Solution:
Selina Concise Mathematics Class 7 ICSE Solutions Chapter 3 Fractions image - 92

Question 3.
Selina Concise Mathematics Class 7 ICSE Solutions Chapter 3 Fractions image - 145
Solution:
Selina Concise Mathematics Class 7 ICSE Solutions Chapter 3 Fractions image - 94

Question 4.
Selina Concise Mathematics Class 7 ICSE Solutions Chapter 3 Fractions image - 95
Solution:
Selina Concise Mathematics Class 7 ICSE Solutions Chapter 3 Fractions image - 96

Question 5.
Selina Concise Mathematics Class 7 ICSE Solutions Chapter 3 Fractions image - 97
Solution:
Selina Concise Mathematics Class 7 ICSE Solutions Chapter 3 Fractions image - 98

Question 6.
Selina Concise Mathematics Class 7 ICSE Solutions Chapter 3 Fractions image - 99
Solution:
Selina Concise Mathematics Class 7 ICSE Solutions Chapter 3 Fractions image - 100

Question 7.
Selina Concise Mathematics Class 7 ICSE Solutions Chapter 3 Fractions image - 101
Solution:
Selina Concise Mathematics Class 7 ICSE Solutions Chapter 3 Fractions image - 102

Question 8.
Selina Concise Mathematics Class 7 ICSE Solutions Chapter 3 Fractions image - 103
Solution:
Selina Concise Mathematics Class 7 ICSE Solutions Chapter 3 Fractions image - 104
Selina Concise Mathematics Class 7 ICSE Solutions Chapter 3 Fractions image - 106

Question 9.
Selina Concise Mathematics Class 7 ICSE Solutions Chapter 3 Fractions image - 107
Solution:
Selina Concise Mathematics Class 7 ICSE Solutions Chapter 3 Fractions image - 108

Question 10.
Selina Concise Mathematics Class 7 ICSE Solutions Chapter 3 Fractions image - 109
Solution:
Selina Concise Mathematics Class 7 ICSE Solutions Chapter 3 Fractions image - 110

Question 11.
Selina Concise Mathematics Class 7 ICSE Solutions Chapter 3 Fractions image - 111
Solution:
Selina Concise Mathematics Class 7 ICSE Solutions Chapter 3 Fractions image - 112

EXERCISE 3 (E)

Question 1.
A line AB is of length 6 cm. Another line CD is of length 15 cm. What fraction is :
(i) The length of AB to that of CD ?
(ii) \(\frac { 1 }{ 2 }\) the length of AB to that of \(\frac { 1 }{ 3 }\) of CD ?
(iii) \(\frac { 1 }{ 5 }\) of CD to that of AB ?

Solution:
Selina Concise Mathematics Class 7 ICSE Solutions Chapter 3 Fractions image - 113

Question 2.
Subtract \(\frac { 2 }{ 7 }\) – \(\frac { 5 }{ 21 }\) from the sum of \(\frac { 3 }{ 4 }\) , \(\frac { 5 }{ 7 }\) and \(\frac { 7 }{ 12 }\)

Solution:
Selina Concise Mathematics Class 7 ICSE Solutions Chapter 3 Fractions image - 114

Question 3.
From a sack of potatoes weighing 120 kg, a merchant sells portions weighing 6 kg, 5\(\frac { 1 }{ 4 }\) kg, 9\(\frac { 1 }{ 2 }\) kg and 9\(\frac { 3 }{ 4 }\) kg respectively.
(i) How many kg did he sell ?
(ii) How many kg are still left in the sack ?

Solution:
Selina Concise Mathematics Class 7 ICSE Solutions Chapter 3 Fractions image - 115

Question 4.
If a boy works for six consecutive days for 8 hours, 7\(\frac { 1 }{ 2 }\) hours, 8\(\frac { 1 }{ 4 }\) hours, 6 \(\frac { 1 }{ 4 }\)4 3hours, 6\(\frac { 3 }{ 4 }\) hours and 7 hours respectively. How much money will he earn at the rate of Rs. 36 per hour ?

Solution:
Selina Concise Mathematics Class 7 ICSE Solutions Chapter 3 Fractions image - 116
Selina Concise Mathematics Class 7 ICSE Solutions Chapter 3 Fractions image - 117

Question 5.
A student bought 4 \(\frac { 1 }{ 3 }\) m of yellow ribbon, 6 \(\frac { 1 }{ 6 }\) m of red ribbon and 3\(\frac { 2 }{ 9 }\) m of blue ribbon for decorating a room. How many metres of ribbon did he buy ?

Solution:
Selina Concise Mathematics Class 7 ICSE Solutions Chapter 3 Fractions image - 118

Question 6.
In a business, Ram and Deepak invest \(\frac { 3 }{ 5 }\) and \(\frac { 2 }{ 5 }\) of the total investment. IfRs. 40,000 is the total investment, calculate the amount invested by each ?

Solution:
Selina Concise Mathematics Class 7 ICSE Solutions Chapter 3 Fractions image - 146
Selina Concise Mathematics Class 7 ICSE Solutions Chapter 3 Fractions image - 120

Question 7.
Geeta had 30 problems for home work. She worked out \(\frac { 2 }{ 5 }\) of them. How many problems were still left to be worked out by her ?

Solution:
Selina Concise Mathematics Class 7 ICSE Solutions Chapter 3 Fractions image - 121

Question 8.
A picture was marked at Rs. 90. It was sold at \(\frac { 3 }{ 4 }\) of its marked price. What was the sale price ?

Solution:
Selina Concise Mathematics Class 7 ICSE Solutions Chapter 3 Fractions image - 122

Question 9.
Mani had sent fifteen parcels of oranges. What was the total weight of the parcels, if each weighed 10\(\frac { 1 }{ 2 }\) kg ?

Solution:
Selina Concise Mathematics Class 7 ICSE Solutions Chapter 3 Fractions image - 123

Question 10.
A rope is 25\(\frac { 1 }{ 2 }\) m long. How many pieces , 1 \(\frac { 1 }{ 2 }\) each of length can be cut out from it?

Solution:
Selina Concise Mathematics Class 7 ICSE Solutions Chapter 3 Fractions image - 124

Question 11.
The heights of two vertical poles, above the earth’s surface, are 14 \(\frac { 1 }{ 4 }\) m and 22 \(\frac { 1 }{ 3 }\) respectively. How much higher is the second pole as compared with the height of the first pole ?

Solution:
Selina Concise Mathematics Class 7 ICSE Solutions Chapter 3 Fractions image - 125

Question 12.
Vijay weighed 65\(\frac { 1 }{ 2 }\) kg. He gained 1\(\frac { 2 }{ 5 }\) kg during the first week, 1 \(\frac { 1 }{ 4 }\) kg during the second week, but lost \(\frac { 5 }{ 16 }\) kg during the 16 third week. What was his weight after the third week ?

Solution:
Selina Concise Mathematics Class 7 ICSE Solutions Chapter 3 Fractions image - 126
Selina Concise Mathematics Class 7 ICSE Solutions Chapter 3 Fractions image - 127

Question 13.
A man spends \(\frac { 2 }{ 5 }\) of his salary on food and \(\frac { 3 }{ 10 }\) on house rent, electricity, etc. What fraction of his salary is still left with him ?
Solution:
Selina Concise Mathematics Class 7 ICSE Solutions Chapter 3 Fractions image - 128

Question 14.
A man spends \(\frac { 2 }{ 5 }\) of his salary on food and \(\frac { 3 }{ 10 }\) of the remaining on house rent, electricity, etc. What fraction of his salary is still left with him ?

Solution:
Selina Concise Mathematics Class 7 ICSE Solutions Chapter 3 Fractions image - 129

Question 15.
Shyam bought a refrigerator for Rs. 5000. He paid \(\frac { 1 }{ 10 }\) of the price in cash and the rest in 12 equal monthly instalments. How much had he to pay each month ?

Solution:
Selina Concise Mathematics Class 7 ICSE Solutions Chapter 3 Fractions image - 130
Selina Concise Mathematics Class 7 ICSE Solutions Chapter 3 Fractions image - 131

Question 16.
A lamp post has half of its length in mud, and \(\frac { 1 }{ 3 }\) of its length in water.
(i) What fraction of its length is above the water ?
(ii) If 3\(\frac { 1 }{ 3 }\) m of the lamp post is above the water, find the whole length of the lamp post.
Solution:
Selina Concise Mathematics Class 7 ICSE Solutions Chapter 3 Fractions image - 132

Question 17.
I spent \(\frac { 3 }{ 5 }\) of my savings and still have Rs. 2,000 left. What were my savings ?

Solution:
Selina Concise Mathematics Class 7 ICSE Solutions Chapter 3 Fractions image - 133
Selina Concise Mathematics Class 7 ICSE Solutions Chapter 3 Fractions image - 134

Question 18.
In a school, \(\frac { 4 }{ 5 }\) of the children are boys. If the number of girls is 200, find the number of boys.

Solution:
Selina Concise Mathematics Class 7 ICSE Solutions Chapter 3 Fractions image - 135

Question 19.
If \(\frac { 4 }{ 5 }\) of an estate is worth Rs. 42,000, find the worth of whole estate. Also, find the value of \(\frac { 3 }{ 7 }\) of it.
Solution:
Selina Concise Mathematics Class 7 ICSE Solutions Chapter 3 Fractions image - 136
Selina Concise Mathematics Class 7 ICSE Solutions Chapter 3 Fractions image - 137

Question 20.
After going \(\frac { 3 }{ 4 }\) of my journey, I find that I have covered 16 km. How much Journey is still left ?

Solution:
Selina Concise Mathematics Class 7 ICSE Solutions Chapter 3 Fractions image - 138

Question 21.
When Krishna travelled 25 km, he found that \(\frac { 3 }{ 5 }\) of his journey was still left. What was the length of the whole journey.

Solution:Selina Concise Mathematics Class 7 ICSE Solutions Chapter 3 Fractions image - 139

Question 22.
From a piece of land, one-third is bought by Rajesh and one-third of remaining is bought by Manoj. If 600 m² land is still left unsold, find the total area of the piece of land.
Solution:
Selina Concise Mathematics Class 7 ICSE Solutions Chapter 3 Fractions image - 147
Selina Concise Mathematics Class 7 ICSE Solutions Chapter 3 Fractions image - 140

Question 23.
A boy spent \(\frac { 3 }{ 5 }\) of his money on buying 1 cloth and \(\frac { 1 }{ 4 }\) of the remaining on buying shoes. If initially he has ?2,400; how much did he spend on shoes?

Solution:
Selina Concise Mathematics Class 7 ICSE Solutions Chapter 3 Fractions image - 141

Question 24.
A boy spent \(\frac { 3 }{ 5 }\) of his money on buying cloth and \(\frac { 1 }{ 4 }\) of his money on buying shoes. If initially he has ?2,400; how much did he spend on shoes?

Solution:
Selina Concise Mathematics Class 7 ICSE Solutions Chapter 3 Fractions image - 142
Selina Concise Mathematics Class 7 ICSE Solutions Chapter 3 Fractions image - 143

 

Leave a Reply

Your email address will not be published. Required fields are marked *