(a) 5/9 equal to 4/5 5/9 and 4/5 = 5x5/9x5 =25/45 and 4x9/5x9 = 36/45 [ L.C.M. of 9 and 5 is 45] Since, 25/45≠36/45 Therefore, 5/9≠4/5 (b) 9/16 equal to 5/9 = 9x9/16x9 = 81/144 and 5x16/9x16=80/144 [ L.C.M. of 16 and 9 is 144] Since,81/144≠80/144 Therefore,9/16≠5/9 (c) 4/5 equal to 16/20 = 4x20/5x20Read more
(a) 5/9 equal to 4/5
5/9 and 4/5
= 5×5/9×5 =25/45 and 4×9/5×9 = 36/45 [ L.C.M. of 9 and 5 is 45]
Since, 25/45≠36/45
Therefore, 5/9≠4/5
(b) 9/16 equal to 5/9
= 9×9/16×9 = 81/144 and 5×16/9×16=80/144 [ L.C.M. of 16 and 9 is 144]
Since,81/144≠80/144
Therefore,9/16≠5/9
(c) 4/5 equal to 16/20
= 4×20/5×20=80/100 and 16×5/20×5=80/100 [ L.C.M. of 5 and 20 is 100]
Since,80/100≠80/100
Therefore,4/5≠16/20
(D) 1/15 equal to 4/30
= 1×2/15×2 = 2/30 and 4×1/30/1 = 4/30 [ L.C.M. of 15 and 30 is 30]
Since,4/30 = 4/30
Therefore,1/15≠4/30
Ramesh: Total pencils = 20 Pencils used = 10 Fraction = 10/20 = 1/2 Sheelu: Total pencils = 50 Pencils used = 25 Fraction = 25/50 = 1/2 Jamaal: Total pencils = 80 Pencils used = 40 Fraction = 40/80 = 1/2 Since, all of them used half of their pencils, therefore each one used up equal fraction of pencRead more
Ramesh: Total pencils = 20
Pencils used = 10
Fraction = 10/20 = 1/2
Sheelu: Total pencils = 50
Pencils used = 25
Fraction = 25/50 = 1/2
Jamaal: Total pencils = 80
Pencils used = 40
Fraction = 40/80 = 1/2
Since, all of them used half of their pencils, therefore each one used up equal fraction
of pencils.
Total number of CDs = 3 + 5 = 8 Number of CDs purchased = 3 Fraction of CDs purchased = 3/8 Fraction of CDs received as gifts = 5/8 https://www.tiwariacademy.com/ncert-solutions/class-6/maths/chapter-7/
Total number of CDs = 3 + 5 = 8
Number of CDs purchased = 3
Fraction of CDs purchased = 3/8
Fraction of CDs received as gifts = 5/8
Total number of dresses = 30 Work finished = 20 Fraction of finished work = 20/30 - 2/3 https://www.tiwariacademy.com/ncert-solutions/class-6/maths/chapter-7/
Total number of dresses = 30
Work finished = 20
Fraction of finished work = 20/30 – 2/3
Find answers to the following. Write and indicate how you solved them: (a) is 5/9 equal to 4/5? (b) Is 9/16 equal to 5/9? (c) Is 4/5 equal to 16/20? (D) Is 1/15 equal to 4/30?
(a) 5/9 equal to 4/5 5/9 and 4/5 = 5x5/9x5 =25/45 and 4x9/5x9 = 36/45 [ L.C.M. of 9 and 5 is 45] Since, 25/45≠36/45 Therefore, 5/9≠4/5 (b) 9/16 equal to 5/9 = 9x9/16x9 = 81/144 and 5x16/9x16=80/144 [ L.C.M. of 16 and 9 is 144] Since,81/144≠80/144 Therefore,9/16≠5/9 (c) 4/5 equal to 16/20 = 4x20/5x20Read more
(a) 5/9 equal to 4/5
5/9 and 4/5
= 5×5/9×5 =25/45 and 4×9/5×9 = 36/45 [ L.C.M. of 9 and 5 is 45]
Since, 25/45≠36/45
Therefore, 5/9≠4/5
(b) 9/16 equal to 5/9
= 9×9/16×9 = 81/144 and 5×16/9×16=80/144 [ L.C.M. of 16 and 9 is 144]
Since,81/144≠80/144
Therefore,9/16≠5/9
(c) 4/5 equal to 16/20
= 4×20/5×20=80/100 and 16×5/20×5=80/100 [ L.C.M. of 5 and 20 is 100]
Since,80/100≠80/100
Therefore,4/5≠16/20
(D) 1/15 equal to 4/30
= 1×2/15×2 = 2/30 and 4×1/30/1 = 4/30 [ L.C.M. of 15 and 30 is 30]
Since,4/30 = 4/30
Therefore,1/15≠4/30
https://www.tiwariacademy.com/ncert-solutions/class-6/maths/chapter-7/
See lessRamesh had 20 pencils, Sheelu had 50 pencils and Jamaal had 80 pencils. After 4 months, Ramesh used up 10 pencils, Sheelu used up 25 pencils and Jamaal used up 40 pencils. What fraction did each use up? Check is each has used up an equal fraction of her/his pencils?
Ramesh: Total pencils = 20 Pencils used = 10 Fraction = 10/20 = 1/2 Sheelu: Total pencils = 50 Pencils used = 25 Fraction = 25/50 = 1/2 Jamaal: Total pencils = 80 Pencils used = 40 Fraction = 40/80 = 1/2 Since, all of them used half of their pencils, therefore each one used up equal fraction of pencRead more
Ramesh: Total pencils = 20
Pencils used = 10
Fraction = 10/20 = 1/2
Sheelu: Total pencils = 50
Pencils used = 25
Fraction = 25/50 = 1/2
Jamaal: Total pencils = 80
Pencils used = 40
Fraction = 40/80 = 1/2
Since, all of them used half of their pencils, therefore each one used up equal fraction
See lessof pencils.
Reduce the following fractions to simplest form: (a) 48/60 (b) 150/60 (c) 84/98 (d) 12/50 (e) 7/28
Hint (a) 48/60 = 4/5 (b) 150/60 = 5/2 (c) 84/98 = 6/7 (d) 12/50 = 3/13 (e) 7/28 = 1/4 https://www.tiwariacademy.com/ncert-solutions/class-6/maths/chapter-7/
Hint
(a) 48/60 = 4/5
(b) 150/60 = 5/2
(c) 84/98 = 6/7
(d) 12/50 = 3/13
(e) 7/28 = 1/4
https://www.tiwariacademy.com/ncert-solutions/class-6/maths/chapter-7/
See lessCheck whether the given fraction are equivalent: (a) 5/9,30/54 (b) 3/10,12/50 (d) 7/13,5/11
(a) 5/9,30/54 = 5x6/9x6, 30x/54 = 30/54,30/54 Therefore, 5/9,30/54 are equivalent. (b) 3/10,12/50 = 3x5/10x5,12/50 = 15/50,12/50 Therefore, 3/10,12/50 are not equivalent. (c) 7/3,5/11 = 7x11/13/11,5x13/11x13 = 77/143,64/143 Therefore,7/13,5/11 are not equivalent fraction. https://www.tiwariacademy.cRead more
(a) 5/9,30/54 = 5×6/9×6, 30x/54 = 30/54,30/54
Therefore, 5/9,30/54 are equivalent.
(b) 3/10,12/50 = 3×5/10×5,12/50 = 15/50,12/50
Therefore, 3/10,12/50 are not equivalent.
(c) 7/3,5/11 = 7×11/13/11,5×13/11×13 = 77/143,64/143
Therefore,7/13,5/11 are not equivalent fraction.
https://www.tiwariacademy.com/ncert-solutions/class-6/maths/chapter-7/
See lessFind the equivalent fraction of 36/48 with: (a) numerator 9 (b) denominator 4
(a) 36/48 = 36÷4/48÷4 = 9/12 (b) 36/48 = 36÷12/48÷12 = 3/4 https://www.tiwariacademy.com/ncert-solutions/class-6/maths/chapter-7/
(a) 36/48 = 36÷4/48÷4 = 9/12
(b) 36/48 = 36÷12/48÷12 = 3/4
https://www.tiwariacademy.com/ncert-solutions/class-6/maths/chapter-7/
See lessFind the equivalent fraction of 3/5 having: (a) denominator 20 (b) numerator 9 (c) denominator 30 (d) numerator 27
(a) 3/5 = 3x4/5x4 = 12/20 (b) 3/5 = 3x3/5x3 = 9/15 (c) 3/5 = 3x6/5x6 = 18/30 (d) 3/5 = 3x9/5x9 = 24/45 https://www.tiwariacademy.com/ncert-solutions/class-6/maths/chapter-7/
(a) 3/5 = 3×4/5×4 = 12/20
(b) 3/5 = 3×3/5×3 = 9/15
(c) 3/5 = 3×6/5×6 = 18/30
(d) 3/5 = 3×9/5×9 = 24/45
https://www.tiwariacademy.com/ncert-solutions/class-6/maths/chapter-7/
See lessKristin received a CD player for her birthday. She bought 3 CDs and received 5 others as gifts. What fraction of her total CDs did she buy and what fraction did she receive as gifts?
Total number of CDs = 3 + 5 = 8 Number of CDs purchased = 3 Fraction of CDs purchased = 3/8 Fraction of CDs received as gifts = 5/8 https://www.tiwariacademy.com/ncert-solutions/class-6/maths/chapter-7/
Total number of CDs = 3 + 5 = 8
Number of CDs purchased = 3
Fraction of CDs purchased = 3/8
Fraction of CDs received as gifts = 5/8
https://www.tiwariacademy.com/ncert-solutions/class-6/maths/chapter-7/
See lessWrite the natural numbers from 102 to 113. What fraction of them are prime numbers?
Natural numbers from 102 to 113: 102, 103, 104, 105, 106, 107, 108, 109, 110, 111, 112, 113 Prime numbers from 102 to 113: 103, 107, 109, 113 Hence fraction of prime numbers = 4/12 = 1/3 https://www.tiwariacademy.com/ncert-solutions/class-6/maths/chapter-7/
Natural numbers from 102 to 113:
102, 103, 104, 105, 106, 107, 108, 109, 110, 111, 112, 113
Prime numbers from 102 to 113:
103, 107, 109, 113
Hence fraction of prime numbers = 4/12 = 1/3
https://www.tiwariacademy.com/ncert-solutions/class-6/maths/chapter-7/
See lessWrite the natural numbers from 2 to 12. What fraction of them are prime numbers?
Natural numbers from 2 to 12: 2, 3, 4, 5, 6, 7, 8, 9, 10, 11, 12 Prime numbers from 2 to 12: 2, 3, 5, 7, 11 Hence, fraction of prime numbers = 5/11 https://www.tiwariacademy.com/ncert-solutions/class-6/maths/chapter-7/
Natural numbers from 2 to 12: 2, 3, 4, 5, 6, 7, 8, 9, 10, 11, 12
Prime numbers from 2 to 12: 2, 3, 5, 7, 11
Hence, fraction of prime numbers = 5/11
https://www.tiwariacademy.com/ncert-solutions/class-6/maths/chapter-7/
See lessKanchan dyes dresses. She had to dye 30 dresses. She has so far finished 20 dresses. What fraction of dresses has she finished?
Total number of dresses = 30 Work finished = 20 Fraction of finished work = 20/30 - 2/3 https://www.tiwariacademy.com/ncert-solutions/class-6/maths/chapter-7/
Total number of dresses = 30
Work finished = 20
Fraction of finished work = 20/30 – 2/3
https://www.tiwariacademy.com/ncert-solutions/class-6/maths/chapter-7/
See less