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  1. Asked: In:

    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?

    Saavini

    (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/

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  2. Asked: In:

    Ramesh 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?

    Saavini

    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.

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  3. Asked: In:

    Reduce the following fractions to simplest form: (a) 48/60 (b) 150/60 (c) 84/98 (d) 12/50 (e) 7/28

    Saavini

    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/

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  4. Asked: In:

    Check whether the given fraction are equivalent: (a) 5/9,30/54 (b) 3/10,12/50 (d) 7/13,5/11

    Saavini

    (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/

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  6. Asked: In:

    Find the equivalent fraction of 36/48 with: (a) numerator 9 (b) denominator 4

    Saavini

    (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/

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