RS Aggarwal 2021-2022 for Class 6 Maths Solutions Chapter 7- Decimal
RS Aggarwal Class 6 Math Solution Chapter 7- Decimal Exercise 7B is available here. RS Aggarwal Class 6 Math Solutions are solved by expert teachers in step by step, which help the students to understand easily. RS Aggarwal textbooks are responsible for a strong foundation in Maths. These textbook solutions help students in exams as well as their daily homework routine. The solutions included are easy to understand, and each step in the solution is described to match the students’ understanding.
Rs Aggarwal Class 6 Math Solution Chapter 7- Decimal
Exercise 7B
Convert each of the following into a fraction in its simplest form:
1. .9
Solution:
.9 = `frac\{9}{10}`
2. 0.6
Solution:
0.6 = `frac\{6}{10}`
3. .08
Solution:
.08 = `frac\{cancel 8^2}{cancel 100^25}` = `frac\{2}{25}`
4. 0.15
Solution:
0.15 = `frac\{cancel 15^3}{cancel 100^20}` = `frac\{3}{20}`
5. 0.48
Solution:
0.48 = `frac\{cancel 48^12}{cancel 100^25}` = `frac\{12}{25}`
6. .053
Solution:
.053 = `frac\{53}{1000}`
7. 0.125
Solution:
0.125 = `frac\{cancel 125^1}{cancel 1000^8}` = `frac\{1}{8}`
8. .224
Solution:
.224 = `frac\{cancel 224^28}{cancel 1000^125}` = `frac\{28}{125}`
Convert each of the following as a mixed fraction:
9. 6.4
Solution:
6.4
= `frac\{cancel 64^32}{cancel 10^5}`
= `frac\{32}{5}`
= 6`frac\{2}{5}`
10. 16.5
Solution:
16.5
= `frac\{cancel 165^33}{cancel 10^2}`
= `frac\{33}{2}`
= 16`frac\{1}{2}`
11. 8.36
Solution:
8.36
= `frac\{cancel 836^209}{cancel 100^25}`
= `frac\{209}{25}`
= 8`frac\{9}{25}`
12. 4.275
Solution:
4.275
= `frac\{cancel 4275^171}{cancel 1000^40}`
= `frac\{171}{40}`
= 4`frac\{11}{40}`
13. 25.06
Solution:
25.06
= `frac\{cancel 2506^1253}{cancel 100^50}`
= `frac\{1253}{50}`
= 25`frac\{3}{50}`
14. 7.004
Solution:
7.004
= `frac\{cancel 7004^1751}{cancel 1000^250}`
= `frac\{1751}{250}`
= 7`frac\{1}{250}`
15. 2.052
Solution:
2.052
= `frac\{cancel 2052^513}{cancel 1000^250}`
= `frac\{513}{250}`
= 2`frac\{13}{250}`
16. 3.108
Solution:
3.108
= `frac\{cancel 3108^777}{cancel 1000^250}`
= `frac\{777}{250}`
= 3`frac\{27}{250}`
Convert each of the following into a decimal:
17. `frac\{23}{10}`
Solution:
`frac\{23}{10}` = 2`frac\{3}{10}` = 2 + 0.3 = 2.3
18. `frac\{167}{100}`
Solution:
`frac\{167}{100}` = 1`frac\{67}{100}` = 1 + 0.67 = 1.67
19. `frac\{1589}{100}`
Solution:
`frac\{1589}{100}` = 15`frac\{89}{100}` = 15 + 0.89 = 15.89
20. `frac\{5413}{1000}`
Solution:
`frac\{5413}{1000}` = 5`frac\{413}{1000}` = 5 + 0.413 = 5.413
21. `frac\{21415}{1000}`
Solution:
`frac\{21415}{1000}` = 21`frac\{415}{1000}` = 21 + 0.415 = 21.415
22. `frac\{25}{4}`
Solution:
`frac\{25}{4}` = `frac\{25 × 25}{4 × 25}` = `frac\{625}{100}` = 6.25
23. 3`frac\{3}{5}`
Solution:
3`frac\{3}{5}` = `frac\{18}{5}` = `frac\{18 × 20}{5 × 20}` = `frac\{360}{100}` = 3.60
24. 1`frac\{4}{25}`
Solution:
1`frac\{4}{25}` = `frac\{29}{25}` = `frac\{29 × 4}{25 × 4}` = `frac\{156}{100}` = 1.56
25. 5`frac\{17}{50}`
Solution:
5`frac\{17}{50}` = `frac\{267}{50}` = `frac\{267 × 2}{50 × 2}` = `frac\{534}{100}` = 5.34
26. 12`frac\{3}{8}`
Solution:
12`frac\{3}{8}` = `frac\{99}{8}` = `frac\{99 × 125}{8 × 125}` = `frac\{12375}{1000}` = 12.375
27. 2`frac\{19}{40}`
Solution:
2`frac\{19}{40}` = `frac\{59}{40}` = `frac\{59 × 25}{40× 25}` = `frac\{1475}{1000}` = 1.475
28. `frac\{19}{20}`
Solution:
`frac\{19}{20}` = `frac\{19 × 5}{20 × 5}` = `frac\{95}{100}` = 0.95
29. `frac\{37}{50}`
Solution:
`frac\{37}{50}` = `frac\{37 × 2}{50 × 2}` = `frac\{74}{100}` = 0.74
30. `frac\{107}{250}`
Solution:
`frac\{107}{250}` = `frac\{107 × 4}{250 × 4}` = `frac\{428}{1000}` = 0.428
31. `frac\{3}{40}`
Solution:
`frac\{3}{40}` = `frac\{3 × 25}{40× 25}` = `frac\{75}{1000}` = 0.075
32. `frac\{7}{8}`
Solution:
`frac\{7}{8}` = `frac\{7 × 125}{8 × 125}` = `frac\{875}{1000}` = 0.875
33. Using decimals, express
(i) 8 kg 640 g in kilograms
Solution:
8 kg + 640 g
= 8 kg + `frac\{640}{1000}` kg
= 8 kg + 0.640 kg = 8.640 kg
(ii) 9 kg 37 g in kilograms
Solution:
9 kg 37 g
= 9 kg + `frac\{37}{1000}` kg
= 9 kg + 0.037 kg = 9.037 kg
(iii) 6 kg 8 g in kilograms
Solution:
6 kg 8 g
= 6 kg + `frac\{8}{1000}` kg
= 6 kg + 0.008 kg = 6.008 kg
34. Using decimals, express
(i) 4 km 365 m in kilometres
Solution:
4 km + 365 m
= 4 km + `frac\{365}{1000}` km [∵ 1 km = 1000 m]
= 4 km + 0.365 km = 4.365 km
(ii) 5 km 87 m in kilometres
Solution:
5 km + 87 m
= 5 km + `frac\{87}{1000}` km [∵ 1 km = 1000 m]
= 5 km + 0.087 km = 5.087 km
(iii) 3 km 6 m in kilometres
Solution:
3 km + 6 m
= 3 km + `frac\{6}{1000}` km [∵ 1 km = 1000 m]
= 3 km + 0.006 km = 3.006 km
(iv) 270 m in kilometres
Solution:
270 m
= `frac\{270}{1000}` km [∵ 1 km = 1000 m]
= 0.270 km
(v) 35 m in kilometres
Solution:
35 m
= `frac\{35}{1000}` km [∵ 1 km = 1000 m]
= 0.035 km
(vi) 6 m in kilometres
Solution:
6 m
= `frac\{6}{1000}` km [∵ 1 km = 1000 m]
= 0.006 km
35. Using decimals, express
(i) 15 kg 850 g in kilograms
Solution:
15 kg + 850 g
= 15 kg + `frac\{850}{1000}` kg [∵ 1 kg = 1000 gm]
= 15 kg + 0.850 kg = 15.850 kg
(ii) 8 kg 96 g in kilograms
Solution:
8 kg + 96 g
= 8 kg + `frac\{96}{1000}` kg [∵ 1 kg = 1000 gm]
= 8 kg + 0.096 kg = 8.096 kg
(iii) 540 g in kilograms
Solution:
540 g
= `frac\{540}{1000}` kg
= 0.540 kg [∵ 1 kg = 1000 gm]
(iv) 8 g in kilograms
Solution:
8 g
= `frac\{8}{1000}` kg
= 0.008 kg [∵ 1 kg = 1000 gm]
36. Using decimals, express
(i) Rs. 18 and 25 paise in rupees
Solution:
Rs 18 + 25 paise
= Rs 18 + Rs `frac\{25}{100}` [∵ Re 1 = 100 paise]
= Rs 18 + Rs 0.25 = Rs 18.25
(ii) Rs. 9 and 8 paise in rupees
Solution:
Rs 9 + 8 paise
= Rs 9 + Rs `frac\{8}{100}` [∵ Re 1 = 100 paise]
= Rs 9 + Rs 0.08 = Rs 9.08
(ii) 32 paise in rupees
Solution:
32 paise = Rs `frac\{32}{100}` = Rs 0.32 [∵ Re 1 = 100 paise]
(iv) 5 paise in rupees
Solution:
5 paise = Rs `frac\{5}{100}` = Rs 0.05 [∵ Re 1 = 100 paise]
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