SOLUTION: six times the denominator of a fraction is two less than eight times the numerator and ten times the numerator equals 20 less than ten times the denominator. the reciprocal of the

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Question 626623: six times the denominator of a fraction is two less than eight times the numerator and ten times the numerator equals 20 less than ten times the denominator. the reciprocal of the fraction is?
Answer by ewatrrr(24785) About Me  (Show Source):
You can put this solution on YOUR website!
 

Hi,

six times the denominator of a fraction is two less than eight times the numerator 

and ten times the numerator equals 20 less than ten times the denominator.

Let n and d represent the numerator and denominator respectively

Question states***

  6d = 8n-2

 10n = 10d-20  , n+=+d-2

 6d = 8%28d-2%29 - 2

  18 = 2d

   d = 9  and n = 7

the reciprocal of the fraction is  9/7