RS Aggarwal Class 6 Solutions Chapter 7 Decimals Ex 7B

These Solutions are part of RS Aggarwal Solutions Class 6. Here we have given RS Aggarwal Solutions Class 6 Chapter 7 Decimals Ex 7B.

Other Exercises

Convert each of the following into a fraction in its simplest form :

Question 1.
Solution:
.9 = $$\\ \frac { 9 }{ 10 }$$

Question 2.
Solution:
0.6
= $$\\ \frac { 6 }{ 10 }$$
= $$\frac { 6\div 2 }{ 10\div 2 }$$
= $$\\ \frac { 3 }{ 5 }$$
(Dividing by 2, the HCF of 6, 10)

Question 3.
Solution:
.08
= $$\\ \frac { 8 }{ 100 }$$
= $$\frac { 8\div 4 }{ 100\div 4 }$$
= $$\\ \frac { 2 }{ 25 }$$
(Dividing by 4, the HCF of 7, 100)

Question 4.
Solution:
0.15
= $$\\ \frac { 15 }{ 100 }$$
= $$\frac { 15\div 5 }{ 100\div 5 }$$
= $$\\ \frac { 3 }{ 20 }$$
(Dividing by 5, the HCF of 15, 100)

Question 5.
Solution:
0.48
= $$\\ \frac { 48 }{ 100 }$$
= $$\frac { 48\div 4 }{ 100\div 4 }$$
= $$\\ \frac { 12 }{ 25 }$$
(Dividing by 4, the HCF of 48, 100)

Question 6.
Solution:
0.53
= $$\\ \frac { 53 }{ 1000 }$$

Question 7.
Solution:
= $$\\ \frac { 125 }{ 1000 }$$
= $$\frac { 125\div 125 }{ 1000\div 125 }$$
= $$\\ \frac { 1 }{ 8 }$$
(Dividing by 125, the HCF of 125, 1000)

Question 8.
Solution:
.224
= $$\\ \frac { 224 }{ 1000 }$$
= $$\frac { 224\div 8 }{ 1000\div 8 }$$
= $$\\ \frac { 28 }{ 125 }$$
(Dividing by 8, the HCF of 224, 1000)

Convert each of the following as a mixed fraction

Question 9.
Solution:
6.4
= $$\\ \frac { 64 }{ 10 }$$
= $$\frac { 64\div 2 }{ 10\div 2 }$$
= $$\\ \frac { 32 }{ 6 }$$
= $$6 \frac { 2 }{ 5 }$$
(Dividing by 2, the HCF of 64, 10)

Question 10.
Solution:
16.5
= $$\\ \frac { 165 }{ 10 }$$
= $$\frac { 165\div 5 }{ 10\div 5 }$$
= $$\\ \frac { 33 }{ 2 }$$
= $$16 \frac { 1 }{ 2 }$$
(Dividing by 5, the HCF of 165, 10)

Question 11.
Solution:
8.36
= $$\\ \frac { 836 }{ 100 }$$
= $$\frac { 836\div 4 }{ 100\div 4 }$$
= $$\\ \frac { 209 }{ 25 }$$
= $$8 \frac { 9 }{ 25 }$$
(Dividing by 4, the HCF of 836, 100)

Question 12.
Solution:
4.275
= $$\\ \frac { 4275 }{ 1000 }$$
= $$\frac { 4275\div 25 }{ 1000\div 25 }$$
= $$\\ \frac { 171 }{ 40 }$$
= $$4 \frac { 11 }{ 40 }$$
(Dividing by 25 )

Question 13.
Solution:
25.06
= $$\\ \frac { 2506 }{ 100 }$$
= $$\frac { 2506\div 2 }{ 100\div 2 }$$
= $$\\ \frac { 1253 }{ 50 }$$
= $$25 \frac { 3 }{ 50 }$$
(Dividing by 2 )

Question 14.
Solution:
7.004
= $$\\ \frac { 7004 }{ 1000 }$$
= $$\frac { 7004\div 4 }{ 1000\div 4 }$$
= $$\\ \frac { 1751 }{ 250 }$$
= $$7 \frac { 1 }{ 250 }$$
(Dividing by 4)

Question 15.
Solution:
2.052
= $$\\ \frac { 2052 }{ 1000 }$$
= $$\frac { 2052\div 4 }{ 1000\div 4 }$$
= $$\\ \frac { 513 }{ 250 }$$
= $$2 \frac { 13 }{ 250 }$$
(Dividing by 4)

Question 16.
Solution:
3.108
= $$\\ \frac { 3108 }{ 1000 }$$
= $$\frac { 3108\div 4 }{ 1000\div 4 }$$
= $$\\ \frac { 777 }{ 250 }$$
= $$3 \frac { 27 }{ 250 }$$
(Dividing by 4)

Question 17.
Solution:
$$\\ \frac { 23 }{ 10 }$$
= 2.3

Question 18.
Solution:
$$\\ \frac { 167 }{ 100 }$$
= 1.67

Question 19.
Solution:
$$\\ \frac { 1589 }{ 100 }$$
= 15.89

Question 20.
Solution:
$$\\ \frac { 5413 }{ 1000 }$$
= 5.413

Question 21.
Solution:
$$\\ \frac { 21415 }{ 1000 }$$
= 21.415

Question 22.
Solution:
$$\\ \frac { 25 }{ 4 }$$
= 6.25

Question 23.
Solution:
$$3 \frac { 3 }{ 5 }$$
= $$\\ \frac { 3\times 5+3 }{ 5 }$$
= $$\\ \frac { 15+3 }{ 5 }$$
= $$\\ \frac { 18 }{ 5 }$$
= 3.6

Question 24.
Solution:
$$1 \frac { 4 }{ 25 }$$
= $$\\ \frac { 1\times 25+4 }{ 25 }$$
= $$\\ \frac { 25+4 }{ 25 }$$
= $$\\ \frac { 29 }{ 25 }$$
= 1.16

Question 25.
Solution:
$$5 \frac { 17 }{ 50 }$$
= $$\\ \frac { 5\times 50+17 }{ 50 }$$
= $$\\ \frac { 250+17 }{ 50 }$$
= $$\\ \frac { 267 }{ 50 }$$
= 5.34

Question 26.
Solution:
$$12 \frac { 3 }{ 8 }$$
= $$\\ \frac { 12\times 8+3 }{ 8 }$$
= $$\\ \frac { 96+3 }{ 8 }$$
= $$\\ \frac { 99 }{ 8 }$$
= 12.375

Question 27.
Solution:
$$2 \frac { 19 }{ 40 }$$
= $$\\ \frac { 2\times 40+19 }{ 40 }$$
= $$\\ \frac { 80+19 }{ 40 }$$
= $$\\ \frac { 99 }{ 40 }$$
= 2.475

Question 28.
Solution:
$$\\ \frac { 19 }{ 20 }$$
= 0.95

Question 29.
Solution:
$$\\ \frac { 37 }{ 50 }$$
= 0.74

Question 30.
Solution:
$$\\ \frac { 107 }{ 250 }$$
= 0.428

Question 31.
Solution:
$$\\ \frac { 3 }{ 40 }$$
= 0.075

Question 32.
Solution:
$$\\ \frac { 7 }{ 8 }$$
= 0.875

Question 33.
Solution:
(i) 8 kg 640 g in kilograms
= $$8 \frac { 640 }{ 1000 }$$ kg
= 8.640kg
(ii) 9 kg 37 g in kilograms
= $$9 \frac { 37 }{ 1000 }$$ kg
= 9.037 kg.
(iii) 6 kg 8 g in kilograms
= $$6 \frac { 8 }{ 1000 }$$ kg
= 6.008 kg Ans.

Question 34.
Solution:
(i) 4 km 365 m in kilometres
= $$4 \frac { 365 }{ 1000 }$$ km
= 4.365 km
(ii) 5 km 87 m in kilometres

Question 35.
Solution:
(i) 15 kg 850 g in kilograms
= $$15 \frac { 850 }{ 1000 }$$ kg
= 15.850 kg

Question 36.
Solution:
(i) Rs. 18 and 25 paise in rupees
= $$18 \frac { 25 }{ 100 }$$
= 18.25 rupees

Hope given RS Aggarwal Solutions Class 6 Chapter 7 Decimals Ex 7B are helpful to complete your math homework.

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