Mathematics
Grade-4-
Easy

Question

The pair of fractions among the following that are not equivalent is

  1. 2 over 3 text  and  end text 12 over 18
  2. 4 over 5 text  and  end text 40 over 50
  3. 1 half text  and  end text 2 over 3
  4. 7 over 6 text  and  end text 14 over 12

Hint:

To find out whether the pair of fraction is equivalent we have to do cross multiplication. For this we have to multiply the numerator of first fraction and the denominator of second, and numerator of second fraction to the denominator of first. If the products are equal the fractions are equivalent and vice versa.

The correct answer is: 1 half text  and  end text 2 over 3


    a. 2 over 3 and 12 over 18
    2cross times18           12cross times3
    = 36                = 36
    As the cross multiplication of both fractions are equal. So its an equivalent fraction.
    b. 4 over 5 and 40 over 50
    4cross times 50           40 cross times 5
    = 200             = 200
    As the cross multiplication of both fraction are equal. So its an equivalent fraction.
    c. 1 half space a n d space 2 over 3
    1 cross times 3          2 cross times 2
    = 3              = 4
    as the cross multiplication of both fractions are not equal. So its not an equivalent fraction.
    d. 7 over 6 space a n d 14 over 12
    7 cross times 12       14cross times 6
    = 84           = 84
    as the cross multiplication of both fractions are equal. So its an equivalent fraction.
    Therefore the pair of fraction which is not an equivalent fraction is fraction numerator 1 over denominator 2 space end fraction space a n d space 2 over 3.

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