the numerator of a fraction is 6 less than the denominatir. if the sum of numerator and denominatir is 22, find the fraction​

Question

the numerator of a fraction is 6 less than the denominatir. if the sum of numerator and denominatir is 22, find the fraction​

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Bella 2 months 2021-08-02T03:24:55+00:00 1 Answers 0 views 0

Answers ( )

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    2021-08-02T03:26:27+00:00

    Step-by-step explanation:

    Given :

    The numerator of a fraction is 6 less than the denominator. The sum of numerator and denominatir is 22.

    To find:

    Find the fraction ?

    Solution:

    Let the denominator be X

    Then the numerator = 6 less than the denominator

    => X-6

    Numerator = X-6

    The sum of the numerator and the denominator = 22

    => X-6+X = 22

    =>2X -6 = 22

    =>2X = 22+6

    => 2X = 28

    => X = 28/2

    => X = 14

    Denominator = 14

    Numerator = 14-6 = 8

    Answer:

    The required fraction for the given problem is 8/14

    Check:

    Numerator = 8

    Denominator = 14

    Numerator = 14-6

    => Denominator-6

    and

    Their sum = 8+14 = 22

    Verified the given relations.

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