Decimals - Exercise 7.4 Class 6 Notes | EduRev

Mathematics (Maths) Class 6

Class 6 : Decimals - Exercise 7.4 Class 6 Notes | EduRev

 Page 1


 
 
 
 
 
 
Exercise 7.4                                                                               page: 7.4 
1. Express the following fractions as decimals: 
(i) 23/10 
(ii) 139/100 
(iii) 4375/1000 
(iv) 12 1/2 
(v) 75 1/4 
(vi) 25 1/8 
(vii) 18 3/24 
(viii) 39 7/35 
(ix) 15 1/25 
(x) 111/250 
Solution: 
 
(i) 23/10 
It can be written as 
= 20 + 3/10 
We get 
= 20/10 + 3/10 
By addition 
= 2 + 3/10 
So we get 
= 2.3 
 
(ii) 139/100 
It can be written as 
= 100 + 30 + 9/100 
We get 
= 100/100 + 30/100 + 9/100 
By addition 
= 1 + 3/10 + 9/100 
So we get 
= 1.39 
 
(iii) 4375/1000 
It can be written as 
= 4000 + 300 + 70 + 5/1000 
We get 
= 4000/1000 + 300/1000 + 70/1000 + 5/1000 
By addition 
= 4 + 3/10 + 7/100 + 5/1000 
So we get 
= 4.375 
 
(iv) 12 1/2 
It can be written as 
= 12 + 1/2 
Multiplying and dividing by 5 to get denominator as 10 
Page 2


 
 
 
 
 
 
Exercise 7.4                                                                               page: 7.4 
1. Express the following fractions as decimals: 
(i) 23/10 
(ii) 139/100 
(iii) 4375/1000 
(iv) 12 1/2 
(v) 75 1/4 
(vi) 25 1/8 
(vii) 18 3/24 
(viii) 39 7/35 
(ix) 15 1/25 
(x) 111/250 
Solution: 
 
(i) 23/10 
It can be written as 
= 20 + 3/10 
We get 
= 20/10 + 3/10 
By addition 
= 2 + 3/10 
So we get 
= 2.3 
 
(ii) 139/100 
It can be written as 
= 100 + 30 + 9/100 
We get 
= 100/100 + 30/100 + 9/100 
By addition 
= 1 + 3/10 + 9/100 
So we get 
= 1.39 
 
(iii) 4375/1000 
It can be written as 
= 4000 + 300 + 70 + 5/1000 
We get 
= 4000/1000 + 300/1000 + 70/1000 + 5/1000 
By addition 
= 4 + 3/10 + 7/100 + 5/1000 
So we get 
= 4.375 
 
(iv) 12 1/2 
It can be written as 
= 12 + 1/2 
Multiplying and dividing by 5 to get denominator as 10 
 
 
 
 
 
 
= 12 + [(1/2) × (5/5)] 
On further calculation 
= 12 + 5/10 
So we get 
= 12.5 
 
(v) 75 1/4 
It can be written as 
= 75 + 1/4 
Multiplying and dividing by 25 to get 100 as denominator 
= 75 + [(1/4) × (25/25)] 
On further calculation 
= 75 + 25/100 
By addition 
= 75.25 
 
(vi) 25 1/8 
It can be written as 
= 25 + 1/8 
Multiplying and dividing by 125 to get 1000 as denominator 
= 25 + [(1/8) × (125/125)] 
On further calculation 
= 25 + 125/1000 
By addition 
= 25.125 
 
(vii) 18 3/24 
It can be written as 
= 18 + 3/24 
We get 
= 18 + 1/8 
Multiplying and dividing by 125 to get 1000 as denominator 
= 18 + [(1/8) × (125/125)] 
On further calculation 
= 18 + 125/1000 
By addition 
= 18.125 
 
(viii) 39 7/35 
It can be written as 
= 39 + 7/35 
We get 
= 39 + 1/5 
Multiplying and dividing by 2 to get 10 as denominator 
= 39 + [(1/5) × (2/2)] 
On further calculation 
= 39 + 2/10 
By addition 
= 39.2 
Page 3


 
 
 
 
 
 
Exercise 7.4                                                                               page: 7.4 
1. Express the following fractions as decimals: 
(i) 23/10 
(ii) 139/100 
(iii) 4375/1000 
(iv) 12 1/2 
(v) 75 1/4 
(vi) 25 1/8 
(vii) 18 3/24 
(viii) 39 7/35 
(ix) 15 1/25 
(x) 111/250 
Solution: 
 
(i) 23/10 
It can be written as 
= 20 + 3/10 
We get 
= 20/10 + 3/10 
By addition 
= 2 + 3/10 
So we get 
= 2.3 
 
(ii) 139/100 
It can be written as 
= 100 + 30 + 9/100 
We get 
= 100/100 + 30/100 + 9/100 
By addition 
= 1 + 3/10 + 9/100 
So we get 
= 1.39 
 
(iii) 4375/1000 
It can be written as 
= 4000 + 300 + 70 + 5/1000 
We get 
= 4000/1000 + 300/1000 + 70/1000 + 5/1000 
By addition 
= 4 + 3/10 + 7/100 + 5/1000 
So we get 
= 4.375 
 
(iv) 12 1/2 
It can be written as 
= 12 + 1/2 
Multiplying and dividing by 5 to get denominator as 10 
 
 
 
 
 
 
= 12 + [(1/2) × (5/5)] 
On further calculation 
= 12 + 5/10 
So we get 
= 12.5 
 
(v) 75 1/4 
It can be written as 
= 75 + 1/4 
Multiplying and dividing by 25 to get 100 as denominator 
= 75 + [(1/4) × (25/25)] 
On further calculation 
= 75 + 25/100 
By addition 
= 75.25 
 
(vi) 25 1/8 
It can be written as 
= 25 + 1/8 
Multiplying and dividing by 125 to get 1000 as denominator 
= 25 + [(1/8) × (125/125)] 
On further calculation 
= 25 + 125/1000 
By addition 
= 25.125 
 
(vii) 18 3/24 
It can be written as 
= 18 + 3/24 
We get 
= 18 + 1/8 
Multiplying and dividing by 125 to get 1000 as denominator 
= 18 + [(1/8) × (125/125)] 
On further calculation 
= 18 + 125/1000 
By addition 
= 18.125 
 
(viii) 39 7/35 
It can be written as 
= 39 + 7/35 
We get 
= 39 + 1/5 
Multiplying and dividing by 2 to get 10 as denominator 
= 39 + [(1/5) × (2/2)] 
On further calculation 
= 39 + 2/10 
By addition 
= 39.2 
 
 
 
 
 
 
(ix) 15 1/25 
It can be written as 
= 15 + 1/25 
Multiplying and dividing by 4 to get 100 as denominator 
= 15 + [(1/25) × (4/4)] 
On further calculation 
= 15 + 4/100 
By addition 
= 15.04 
 
(x) 111/250 
It can be written as 
= 111 × [(1/250) × (4/4)] 
On further calculation 
= 444/1000 
By division 
= 0.444 
 
2. Express the following decimals as fractions in the lowest form: 
(i) 0.5 
(ii) 2.5 
(iii) 0.60 
(iv) 0.18 
(v) 5.25 
(vi) 7.125 
(vii) 15.004 
(viii) 20.375 
(ix) 600.75 
(x) 59.48 
Solution: 
 
(i) 0.5 
It can be written as 
= 5/10 
By division 
= 1/2 
 
(ii) 2.5 
It can be written as 
= 25/10 
By division 
= 5/2 
 
(iii) 0.60 
It can be written as 
= 60/100 
By division 
= 3/5 
 
(iv) 0.18 
Page 4


 
 
 
 
 
 
Exercise 7.4                                                                               page: 7.4 
1. Express the following fractions as decimals: 
(i) 23/10 
(ii) 139/100 
(iii) 4375/1000 
(iv) 12 1/2 
(v) 75 1/4 
(vi) 25 1/8 
(vii) 18 3/24 
(viii) 39 7/35 
(ix) 15 1/25 
(x) 111/250 
Solution: 
 
(i) 23/10 
It can be written as 
= 20 + 3/10 
We get 
= 20/10 + 3/10 
By addition 
= 2 + 3/10 
So we get 
= 2.3 
 
(ii) 139/100 
It can be written as 
= 100 + 30 + 9/100 
We get 
= 100/100 + 30/100 + 9/100 
By addition 
= 1 + 3/10 + 9/100 
So we get 
= 1.39 
 
(iii) 4375/1000 
It can be written as 
= 4000 + 300 + 70 + 5/1000 
We get 
= 4000/1000 + 300/1000 + 70/1000 + 5/1000 
By addition 
= 4 + 3/10 + 7/100 + 5/1000 
So we get 
= 4.375 
 
(iv) 12 1/2 
It can be written as 
= 12 + 1/2 
Multiplying and dividing by 5 to get denominator as 10 
 
 
 
 
 
 
= 12 + [(1/2) × (5/5)] 
On further calculation 
= 12 + 5/10 
So we get 
= 12.5 
 
(v) 75 1/4 
It can be written as 
= 75 + 1/4 
Multiplying and dividing by 25 to get 100 as denominator 
= 75 + [(1/4) × (25/25)] 
On further calculation 
= 75 + 25/100 
By addition 
= 75.25 
 
(vi) 25 1/8 
It can be written as 
= 25 + 1/8 
Multiplying and dividing by 125 to get 1000 as denominator 
= 25 + [(1/8) × (125/125)] 
On further calculation 
= 25 + 125/1000 
By addition 
= 25.125 
 
(vii) 18 3/24 
It can be written as 
= 18 + 3/24 
We get 
= 18 + 1/8 
Multiplying and dividing by 125 to get 1000 as denominator 
= 18 + [(1/8) × (125/125)] 
On further calculation 
= 18 + 125/1000 
By addition 
= 18.125 
 
(viii) 39 7/35 
It can be written as 
= 39 + 7/35 
We get 
= 39 + 1/5 
Multiplying and dividing by 2 to get 10 as denominator 
= 39 + [(1/5) × (2/2)] 
On further calculation 
= 39 + 2/10 
By addition 
= 39.2 
 
 
 
 
 
 
(ix) 15 1/25 
It can be written as 
= 15 + 1/25 
Multiplying and dividing by 4 to get 100 as denominator 
= 15 + [(1/25) × (4/4)] 
On further calculation 
= 15 + 4/100 
By addition 
= 15.04 
 
(x) 111/250 
It can be written as 
= 111 × [(1/250) × (4/4)] 
On further calculation 
= 444/1000 
By division 
= 0.444 
 
2. Express the following decimals as fractions in the lowest form: 
(i) 0.5 
(ii) 2.5 
(iii) 0.60 
(iv) 0.18 
(v) 5.25 
(vi) 7.125 
(vii) 15.004 
(viii) 20.375 
(ix) 600.75 
(x) 59.48 
Solution: 
 
(i) 0.5 
It can be written as 
= 5/10 
By division 
= 1/2 
 
(ii) 2.5 
It can be written as 
= 25/10 
By division 
= 5/2 
 
(iii) 0.60 
It can be written as 
= 60/100 
By division 
= 3/5 
 
(iv) 0.18 
 
 
 
 
 
 
It can be written as 
= 18/100 
By division 
= 9/50 
 
(v) 5.25 
It can be written as 
= 525/100 
By division 
= 21/4 
 
(vi) 7.125 
It can be written as 
= 7125/1000 
By division 
= 57/8 
 
(vii) 15.004 
It can be written as 
= 15004/1000 
By division 
= 3751/250 
 
(viii) 20.375 
It can be written as 
= 20375/1000 
By division 
= 163/8 
 
(ix) 600.75 
It can be written as 
= 60075/100 
By division 
= 2403/4 
 
(x) 59.48 
It can be written as 
= 5948/100 
By division 
= 1487/25 
 
 
 
 
 
 
 
 
 
 
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