RS Aggarwal Class 6 Maths Solutions Chapter 7- Decimal Exercise 7B

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]