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Mathsight Class 6 Solutions Chapter 6 Fractions
Welcome to NCTB Solutions. Here with this post we are going to help 6th class students to solve MathSight Class 6 Mathematics Book, Chapter 6, Fractions. Here students can easily get all the exercise questions solution for Chapter 6, Fractions Exercise 6.1 and 6.2
Fractions Exercise 6.1 Solution :
Question no – (1)
Solution :
(b) 3/7 = 9/21 = 3/7
(d) 7/9 = 35/45 = 7/9
(f) 8/10 = 24/30 = 8/10
Question no – (2)
Solution :
(a) 9/11 = 18/22, 27/33, 36/44, 45/55, 54/66
(b) 4/5 = 8/10, 12/15, 16/20, 20/25, 24/30
(c) 5/13 = 10/26, 15/39, 20/52, 25/65, 30/78
(d) 3/7 = 6/14, 9/21, 12/28, 15/35, 18/42
(e) 2/9 = 4/18, 6/27, 8/36, 5/45, 12/54
(f) 13/15 = 26/30, 39/45, 52/60, 65/75, 78/90
Question no – (3)
Solution :
(a) 250/360
= 25/36
(b) 175/325
= 7/13
(c) 220/750
= 22/75
(d) 820/1600
= 41/80
(e) 57/76
= 3/4
(f) 22/121
= 2/11
Question no – (4)
Solution :
(a) 2/3 = 32/48 = 30/45
(b) 3/5 = 24/40 = 36/60
Question no – (5)
Solution :
(a) 2/5 < 1/7
(b) 5/11 > 4/13
(c) 7/14 = 1/2
(d) 3/18 < 3/9
Question no – (6)
Solution :
= 4/15, 5/20, 6/21, 3/10, 1/3, 2/5
Question no – (7)
Solution :
= 2, 9/10, 7/8, 5/6, 3/4, 2/3
Question no – (8)
Solution :
Let, total land = 1
Use for road park = 2/5
Use for community hall = 3/8
∴ Rest for apartment,
= 1 – (2/5 – 3/8)
= 1 – (16-15/40)
= 1 – 1/40
= 40 – 1/40
= 39/40
∴ 39/40 > 2/5 > 3/8
∴ Maximum portion use in apartment.
Question no – (10)
Solution :
(a) 3/5
(b) 5/21
(c) 8/26
Question no – (11)
Solution :
2 x/4 + 4 1/4 = 6 1/2
Or, 8+x/4 + 17/16 = 13/2
Or, 8+x/4 = 13/2 – 17/16 = 104 – 17/16 = 87/16
Or, 8 + x = 87
Or, x = 87 – 8 = 79
Or, x = 79
Fractions Exercise 6.2 Solution :
Question no – (1)
Solution :
(a) 8 3/8 + 3 3/8 + 2 3/8 + 3/8
= 67/8 + 27/8 + 19/8 + 3/8
= 67 + 27 + 19 + 3/8
= 116/8
= 29/2
(b) 9 7/8 + 7 5/24 + 2 1/16 + 1 3/4
= 79/8 + 173/24 + 33/16 + 7/4
= 474 + 346 + 99 + 84/48
= 1005/48
(c) 5/8 + 3+ 2 5/36 + 1 3/24
= 5/8 + 3 + 77/36 + 27/24
= 45 + 3 + 154 + 81/72
= 283/72
= 3 67/72
(d) 5 3/5 + 2 2/10 + 3 1/15 + 4 3/25
= 28/5 + 22/10+46/15 + 103/25
= 840 + 330 + 460 + 618/150
= 2248/150
Question no – (2)
Solution :
(a) 12 – 3/5
= 60 – 3/5
= 57/5
(b) 13/36 – 5/24
= 26 – 15/72
= 11/72
(c) 3 5/6 – 1 4/9
= 22/6 – 13/9
= 66 – 26/18
= 40/18
= 20/9
(d) 2 7/11 – 1 5/33
= 29/11 – 38/33
= 2 – 38/33
= -9/33
= -3/11
(e) 11 1/9 – 5 5/8
= 100/9 – 45/8
= 800 – 405/ 72
= 395/72
(f) 12 – 4 3/25 – 1 4/5
= 12 – 103/25 – 19/15
= 900 – 309 95/75
= 496/75
Question no – (3)
Solution :
(a) 3 1/2 – 1 1/3 + 5 1/4
= 7/2 – 4/3 + 10/4
=42 – 16 + 30/12
= 56/12
= 14/3
(b) 2 3/4 + 3 2/3 – 5 1/6
= 11/4 + 11/3 – 31/6
= 33 + 44 – 62/12
= 15/12
= 5/4
(c) 1 – 1/4 + 2/3
= 12 – 3 + 8 / 12
= 17/12
(d) 5 2/3 – 2 1/3 + 1 2/5
= 17/3 – 8/3 + 7/5
= 85 – 40 + 21/15
= 66/15
= 33/5
(e) 3 1/2 – 1 + 2/5
= 7/2 – 1 + 2/5
= 35 – 10 + 4/10
= 29/10
(f) 2 3/4 – 11 1/8 + 9 1/2
= 11/4 – 89/8 + 19/2
= 22 – 89 + 76/8
= 9/8
Question no – (4)
Solution :
(15 1/2 + 6 3/4) – (13 1/2 + 6 2/3)
= (31/2 + 27/4) – (27/2 + 20/3)
= (62 + 27/4) – (81 + 40/6)
= 89/4 – 121/6
= 267 – 242/12
= 25/12
Question no – (5)
Solution :
Need to be added,
= 20 – 12 3/5
= 20 – 63/5
= 100 – 63/5
= 37/5
Question no – (6)
Solution :
Need to substract
= 20 3/4 + 10 1/2
= 83/4 + 21/2
= 83 + 42/4
= 85/4
Question no – (7)
Solution :
Let, total pocket money = 1
Spent for science friction Book = 2/5
Spent for news paper = 1/6
Spent for recreation = 2/15
∴ Money left,
= 1 – (2/5 + 1/6 + 2/15)
= 1 – (12 + 5 + 4/30)
= 1 – (21//30)
= 30 – 21/30
= 9/30
= 3/10
Question no – (8)
Solution :
Fraction of powerplay,
= 6/20
= 3/10
Fraction of rest over bowled,
= (20 – 6)/20
= 14/20
= 7/10
∴ Difference of them,
= 7/10 – 3/10
= 4/10
= 2/5
Question no – (9)
Solution :
Let, total children = 1
Numbers of children in primary section = 2/3
Numbers of children in middle section = 3/10
Numbers of children in secondary section,
= 1 – (2/3 + 3/10)
= 1 – (20 + 9/30)
= 1 – 29/30
= 30 – 29/30
= 1/30
Question no – (10)
Solution :
Let, total garden = 1
Land used for flowers = 1/5
Land used for jogging track = 2/7
Land used open land,
= 1 – (1/5 + 2/7)
= 1 – (7 + 10/35)
= 1 – 17/35
= 35 – 17/35
= 18/35
Question no – (11)
Solution :
7/12 = 1/3 + 1/4
∴ Two fractions are = 1/3, 1/4
Question no – (12)
Solution :
Improper fraction = 123
The simplest from = 3 5/9
= 32/9
= 32 × 3/9 × 3
= 96/27
∴ Improper fraction = 96/27
Question no – (13)
Solution :
= 21/32
= 6/32 + 15/32
Question no – (14)
Solution :
= 12/56
= 2/7 × 6/8
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