Question 411069
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Hi
The numerator of a certain fraction is 7 less than its denominator.
Let x and (x-7)represent the denominator and numerator respectively
Question states***
 [(x-7)-4] / (x+1) = 1/3
Solving for x
 {{{ (x-11)/(x+1) = 1/3}}}   |cross multiplying to solve for x
       3(x-11) = (x+1)
         2x = 34
          x = 17, the denominator. The numerator is 10.  (17-7)
   Fraction is 10/17

CHECKING our Answer***
   6/18 = 1/3