Selina Solutions Concise Maths Class 7 Chapter 4 Decimal Fractions (Decimals) Exercise 4D mainly discusses the concept of terminating, non terminating and recurring decimals. The method of converting them and the steps to be followed are explained in simple language for a better understanding among students. Students can improve their time management skills by solving problems using the solutions designed by faculty at BYJU’S. Selina Solutions Concise Maths Class 7 Chapter 4 Decimal Fractions (Decimals) Exercise 4D, PDF links are available below.
Selina Solutions Concise Maths Class 7 Chapter 4: Decimal Fractions (Decimals) Exercise 4D Download PDF
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Access Selina Solutions Concise Maths Class 7 Chapter 4: Decimal Fractions (Decimals) Exercise 4D
1. Find whether the given division forms a terminating decimal or a non-terminating decimal:
(i) 3 ÷ 8
(ii) 8 ÷ 3
(iii) 6÷ 5
(iv) 5 ÷ 6
(v) 12.5 ÷ 4
(vi) 23 ÷ 0.7
(vii) 42 ÷ 9
(viii) 0.56÷ 0.11
Solution:
(i) 3 ÷ 8
We know that
3 ÷ 8 = 0.375
Therefore, it is terminating decimal.
(ii) 8 ÷ 3
We know that
8 ÷ 3 = 2.666
Therefore, it is a non-terminating decimal.
(iii) 6 ÷ 5
We know that
6 ÷ 5 = 1.2
Therefore, it is terminating decimal.
(iv) 5 ÷ 6
We know that
5 ÷ 6 = 0.8333
Therefore, it is non-terminating decimal.
(v) 12.5 ÷ 4
We know that
12.5 ÷ 4 = 3.125
Therefore, it is terminating decimal.
(vi) 23 ÷ 0.7
Multiplying by 10 we get
230 ÷ 7 = 32.8571428
Therefore, it is non-terminating decimal.
(vii) 42 ÷ 9
We know that
42 ÷ 9 = 4.666
Therefore, it is non-terminating decimal.
(viii) 0.56 ÷ 0.11
Multiplying by 100
56 ÷ 11 = 5.0909
Therefore, it is non-terminating decimal.
2. Express as recurring decimals:
(i) 1 1/3
(ii) 10/11
(iii) 5/6
(iv) 2/13
(v) 1/9
(vi) 17/90
(vii) 5/18
(viii) 7/12
Solution:
(i) 1 1/3
It can be written as
1 1/3 = 4/3
(ii) 10/11
It can be written as
10/11 = 0.909090… 
(iii) 5/6
It can be written as
5/6 = 0.8333…. 
(iv) 2/13
It can be written as
2/13 = 0.153846153846 
(v) 1/9
It can be written as
1/9 = 0.1111 …. 
(vi) 17/90
It can be written as
17/90 = 0.1888 
(vii) 5/18
It can be written as
5/18 = 0.2777 … 
(viii) 7/12
It can be written as
7/12 = 0.58333…. 
3. Convert into vulgar fraction:
Solution:
It can be written as
= 3/9
So we get
= (3 – 0)/ 9
= 3/9
= 1/3
It can be written as
= 8/9
So we get
= (8 – 0)/ 9
= 8/9
It can be written as
= 44/9
So we get
= (44 – 4)/ 9
= 40/9
= 4 4/9
It can be written as
= 237/9
So we get
= (237 – 23)/ 9
= 214/9
= 23 7/9
4. Convert into vulgar fraction:
Solution:
It can be written as
= 35/99
So we get
= (35 – 0)/ 99
= 35/99
It can be written as
So we get
= 2 + (23 – 0)/ 99
On further calculation
= 2 + 23/99
= 2 33/99
It can be written as
So we get
= 1 + (28 – 0)/ 99
On further calculation
= 1 + 28/99
= 1 28/99
It can be written as
So we get
= 5 + (234 – 0)/ 999
On further calculation
= 5 234/999
5. Convert into vulgar fraction:
Solution:
It can be written as
= (37 – 3)/ 90
So we get
= 34/90
= 17/45
It can be written as
= (245 – 2)/ 990
So we get
= 243/990
On further calculation
= 81/330
= 27/110
It can be written as
= (685 – 68)/ 900
So we get
= 617/ 900
It can be written as
= (442 – 4)/ 990
So we get
= 438/ 990
= 219/ 495
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