Learning Mathematics becomes fun for the students with the help of RD Sharma Solutions Class 6 that provide accurate answers. Exercise 7.4 covers major concepts like steps followed to convert the given fractions as decimals and vice versa. The fractions can be expressed as decimals using 10, 100 and 1000 as the denominator. Students gain a better hold on the concepts covered in Chapter 7 using RD Sharma Solutions for Class 6 Maths Chapter 7 Decimals Exercise 7.4 PDF, which is provided here.
RD Sharma Solutions for Class 6 Maths Chapter 7: Decimals Exercise 7.4 Download PDF
Access answers to Maths RD Sharma Solutions for Class 6 Chapter 7: Decimals Exercise 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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