6 times the reciprocal of a number equals 3 times the reciprocal of 7 .

Discussion in 'Calculator Requests' started by math_celebrity, Mar 9, 2020.

  1. math_celebrity

    math_celebrity Administrator Staff Member

    6 times the reciprocal of a number equals 3 times the reciprocal of 7 .

    This is an algebraic expression. Let's take it in parts:

    The phrase a number means an arbitrary variable, let's call it x.
    x

    The reciprocal of a number x means we divide 1 over x:
    1/x

    6 times the reciprocal means we multiply 6 by 1/x:
    6/x

    The reciprocal of 7 means we divide 1/7
    1/7

    3 times the reciprocal means we multiply 1/7 by 3:
    3/7

    Now, the phrase equals mean an equation, so we set 6/x = 3/7
    6/x = 3/7 <-- This is our algebraic expression

    If the problem asks you to solve for x, then we type this proportion in our search engine and get:
    x = 14
     

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