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**Number Line Prime Class 6 Solutions Chapter 6 Fractions**

Welcome to NCTB Solutions. Here with this post we are going to help 6th class students for the Solutions of Number Line Prime Class 6 Math Book, Chapter 6, Fractions. Here students can easily find step by step solutions of all the problems for Fractions, Exercise 6A, 6B, 6C, 6D, 6E, 6F, 6G, 6H and 6I Also here our mathematics teacher’s are solved all the problems with easily understandable methods with proper guidance so that all the students can understand easily. Here in this post students will get chapter 6 solutions. Here in this post all the solutions are based on latest Syllabus.

**Fractions Exercise 6A Solution :**

**Question no – (1)**

**Solution :**

**(a)** 4/6

**(b)** 1/4

**(c)** 3/4

**Question no – (2) **

**Solution :**

**(a)** Four sevenths = 4/7

**(b)** Eight elevenths = 8/11

**Question no – (3) **

**Solution :**

**(a) 2/3**

**(b) 10/12**

**(c) 7/13**

**(d) 4/8**

**Question no – (4) **

**Solution :**

Fraction = Numerators/Denominators

So,

**(a)** 4/10

**(b)** 2/5

**(c)** 18/20

**(d)** 3/7

**Question no – (5)**

**Solution :**

**(a) 2/3**

**(b) 3/5**

**(c) 7/10**

**(d) 5/11**

**Fractions Exercise 6B Solution :**

**Question no – (1) **

**Solution :**

Proper fractions **->** (c) 11/13

Improper fractions **->** (a) 9/7, (d) 19/12

Mixed fractions **->** (b) 15/8, (e) 5 7/9, (f) 2 13/17

**Question no – (2) **

**Solution :**

**(a) 13/2**

**(b) 25/3**

**(c) 17/5**

**(d) 56/3**

**(e) 121/5**

**(f) 35/6**

**Question no – (3) **

**Solution :**

**(a) 12/5**

= 1 × 5 + 2/5

= 7/5

**(b) 12 3/7**

= 87/7

**(c) 21 1/3**

= 64/3

**(d) 93 5/7**

= 656/7

(e) 6 4/6

= 40/6

**(f) 13 1/2**

= 27/2

**Question no – (4) **

**Solution :**

**(a) 4/2 × 4/4**

= 16/8, 9/8

**(b) 3/7 × 3/3**

= 9/21, 6/21

**(c) 2/10 × 3/3**

= 6/30

5/15 × 2/2

= 10/30

**(d) 2/5 × 6/6**

= 12/30

3/6 × 5/5

= 15/30

**(e) 3/15 × 5/5**

= 15/75

4/25 × 3/3

= 12/75

**(f) 9/14 × 2/2**

= 18/28, 6/28

**Fractions Exercise 6C Solution :**

**Question no – (1) **

**Solution :**

Equivalent fraction

**(a) 2/3**

= 4/6, 6/9, 8/12

**(b) 4/7**

= 8/14, 12/21, 16/28

**(c) 3/5**

= 6/10, 9/15, 12/20

**(d) 2/9**

= 4/18, 6/27, 8/36

**Question no – (2) **

**Solution :**

**(a) 11/12**

= 11 × 11/12 × 11

= 121/132

**(b) 4/5**

= 4 × 16/5 × 16

= 64/80

**Question no – (3) **

**Solution :**

**(a) 4/5 and 24/30**

= 6/5 Equivalent

**(b) 7/11 and 21/32**

= Not equivalent

**(c) 12/35**

= 3/5 Not equivalent

**(d) 45/81**

= 5/9, 5/7 Not equivalent

**Question no – (4) **

**Solution :**

**(a) 3/15**

= 3 × 20/15 × 20

= 60/300

**(b) 30/45**

= 30 × 2/45 × 2

= 60/90

**(c) 5/12**

= 5 × 12/12 × 12

= 60/144

**(d) 30/40**

= 30 × 2/40 × 2

= 60/80

**Question no – (5) **

**Solution :**

**(a) denominator 35**

= 5 × 5/7 × 5

= 25/35

**(b) numerator 45**

= 5 × 9/7 × 9

= 45/63

**(c) numerator 50**

= 5 × 10/7 × 10

= 50/70

**(d) denominator 56**

= 5 × 8/7 × 8

= 40/56

**Fractions Exercise 6D Solution :**

**Question no – (1)**

**Solution :**

Smaller fraction

**(a)** 2/7

**(b)** 5/13

**(c)** 7/9

**Question no – (2)**

**Solution :**

**(a) 1/6**

= 1/6 × 7/7

= 7/42

2/7 – 2/7 × 6/6

= 12/42

**(b) 5/12 × 4/4**

= 20/48

3/16 × 3/3

= 9/48

**Question no – (3) **

**Solution :**

**Greater fraction**

**(a)** 4/7

**(b)** 7/9

**Question no – (4) **

**Solution :**

**Ascending order**

**(a)** 2/18 < 5/18 < 7/18 < 9/18

**(b)** 5/20 < 5/15 < 5/13 < 5/9

**(c)** 7/25 < 8/15 < 3/5 < 7/20

**Question no – (5) **

**Solution :**

**(a)** 10/15 > 7/15 > 4/15 > 2/15

**(b)** 3/4 > 5/12 > 7/24 > 1/8

**(c)** 7/12 > 11/30 > 5/10 > 1/6

**Fractions Exercise 6E Solution :**

**Question no – (1) **

**Solution :**

**(a) 2/7 + 1 1/14**

= 2/7 + 15/14

= 4 + 15/14

= 19/14

**(b) 2 1/3 + 4 1/5**

= 7/3 + 21/5

= 35 + 63/15

= 28/15

**(c) 2 4/8 + 1 1/6 + 5/18**

= 20/8 + 7/6 + 5/18

= 180 + 84 + 20/72

= 284/72

**(d) 1 3/4 + 2 1/7 + 1 3/14**

= 7/4 + 15/7 + 17/14

= 49 + 60 + 34/28

= 143/28

**Question no – (2) **

**Solution :**

**(a) 3 1/4 – 1 1/5**

= 13/4 – 6/5

= 65 – 24/20

= 41/20

**(b) 2 6/7 – 2 1/2**

= 20/7 – 5/2

= 40 – 35/14

= 5/14

**(c) 4 8/14 – 3 2/12**

= 64/14 – 38/12

= 384 – 266/84

= 118/84

**Question no – (3) **

**Solution :**

**(a)** 5/12 + 2/12= 7/12

**(b)** 7/9 – 5/9= 2/9

**(c)** 1 – 3/4 = 1/4

**(d)** 7 – 7/5 = 35 – 7/5 = 28/5

**(e)** 3/4 – 1/8 = 6 – 1/8 = 5/8

**(f)** 13/17 – 23/34 = 26 – 23/34 = 3/34

**Question no – (4)**

**Solution :**

**(a) 13/2 + 8/3 – 1/4**

= 39 + 16/6 – 1/4

= 55/6 – 1/4

= 110 – 3/12

= 107/12

**(b) 2 1/6 = 1 1/4 + 2 1/3 – 1 1/12**

= 13/6 – 5/4 + 7/3 – 13/12

= 26 – 15 – + 28 – 13/12

= 26/12

**(c) 2 3/8 – 5/12 + 3/4**

= 19/8 – 5/12 + 3/4

= 57 – 10 + 18/24

= 65/24

**(d) 1 1/3 + 2 3/4 + 5/6**

= 4/3 + 11/4 + 5/6

= 16 + 33 + 10/12

= 59/12

**Question no – (5)**

**Solution :**

4/6 – 1/4

= 8 – 3/12

= 5/12

**∴** 5/12 should be added.

**Question no – (6)**

**Solution :**

3 1/5 – 1 1/3

= 16/5 – 4/3

= 48 – 20/15

= 28/15

**∴** 28/15 should be subtracted.

**Fractions Exercise 6F Solution :**

**Question no – (1)**

**Solution :**

Total weight

= 3/4 + 1/2 + 1 1/2

= 3/4 + 1/2 + 3/2

= 3 + 2 + 6/4

= 11/4 kg

**Question no – (2)**

**Solution :**

Pages left

= 1 – 3/5

= 2/5

So, Total no of pages left

80 ÷ 2/5

= 80 × 5/2

= 200

**Question no – (3)**

**Solution :**

4 – 1/4 – 1 5/8

= 17/4 – 13/8

= 34 – 13/8

= 21/8 m

Armaan’s jump 21/8m

**Question no – (4)**

**Solution :**

Spend = 28 3/4 + 13 1/5

= 115/4 + 66/5

= 575 + 264/20

= 839/20

Money left,

= 58 1/2 – 839/20

= 117/2 – 839/20

= 1170 – 839/20

= 331/20

= 16 11/20

**Question no – (5)**

**Solution :**

She have to de

= 4 1/4 – 3 1/2

= 17/4 – 7/2

= 17 – 14/4

= 3/4 hours.

**Question no – (6)**

**Solution :**

Distance of collage from Rohan’s house

= 5 /12 – 3 1/4

= 11/2 – 13/4

= 22 – 13/4

= 9/4

= 2 1/4 km

**Fractions Exercise 6G Solution :**

**Question no – (1) **

**Solution :**

**(a) 2/11 × 3**

= 6/11

**(b) 5/10 × 15**

= 15/2

**(c) 3/18 × 20**

= 10/3

**(d) 19/4 × 7**

= 19/3

**(e) 3 1/4 × 16**

= 13/4 × 16

= 52

**(f) 2 1/5 × 15**

= 11/5 × 15

= 33

**Question no – (2) **

**Solution :**

**(a) 11/12 of 1 1/35 × 2 1/2**

= 11/12 × 36/35 × 5/2

= 33/14

**(b) 1 2/6 of 2 1/5 × 1 1/9 × 3 1/2**

= 8/6 × 11/5 × 10/9 × 7/2

= 308/27

**Question no – (3) **

**Solution :**

Reciprocal

**(a)** 2/11 -> 11/2

**(b)** 3 -> 1/3

**(c)** 15/17 -> 17/15

**(d)** 9/15 -> 15/9

**Fractions Exercise 6H Solution :**

**Question no – (1) **

**Solution :**

**(a) 5/7 ÷ 10**

= 5/7 × 1/10

= 1/14

**(b) 2 2/6 ÷ 7**

= 14/6 × 1/7

= 1/3

**(c) 5 4/6 ÷ 17**

= 34/6 × 1/17

= 1/3

**(d) 12 2/4 ÷ 25**

= 50/4 × 1/25

= 1/2

**Question no – (2)**

**Solution :**

**(a) 1 3/4 ÷ 1 3/12**

= 7/4 ÷ 15/12

= 7/4 × 12/15

= 7/5

**(b) 2 16/18 ÷ 1 1/27**

= 52/18 ÷ 28/27

= 52/18 × 27/28

= 39/14

**(c) 5 2/3 ÷ 1 5/9**

= 17/3 ÷ 14/9

= 17/3 × 9/14

= 51/14

**(d) 1 7/18 ÷ 1 1/20**

= 25/18 ÷ 21/20

= 25/18 × 20/21

= 250/189

**Fractions Exercise 6I Solution :**

**Question no – (1)**

**Solution :**

Weight of each bag

= 42 2/3 ÷ 8

= 128/3 ÷ 8

= 128/3 × 1/8

= 16/3

= 5 1/3 kg

**Question no – (2)**

**Solution :**

Total distance

= 3 1/4 × 6

= 13/4 × 6

= 39/2

= 19 1/2 km

**Question no – (3)**

**Solution :**

Cost of one pencil

= 16 1/3 ÷ 7

= 49/3 ÷ 7

= 49/3 × 1/7

= 7/3

= 2 1/3

**Question no – (4)**

**Solution :**

1 hour = 60 minutes

So, 4/5 hours

= 4/5 × 60

= 48 minutes

**Question no – (5)**

**Solution :**

Total sweets left

= 2 – 3/5

= 10 – 3/5

= 7/5

= 1 2/5 kg

**Chapter 6 Review Time Questions Solution : **

**Multiple Choice Questions : **

**Question no – (1)**

**Solution :**

Unit fraction – (c) 1/4

**Question no – (2)**

**Solution :**

A day 24 hours

So, 12 hour = (b) 1/2 days

**Question no – (3)**

**Solution :**

Proper fraction – (a) 3/7

**Question no – (4) **

**Solution :**

Improper fraction – (c) 12/9

**Question no – (5)**

**Solution :**

The correct option is – (b) 6 2/5

**Question no – (6)**

**Solution :**

32/12

= 8/3

So, The correct option is – (c) 8/3

**Question no – (7) **

**Solution :**

13/39

= 1/3

Therefore, the correct option is -(c) 1/3

**Next Chapter Solution : **

👉 Chapter 7 👈