SOLUTION: A particular fraction is equivalent to 2/3. The sum of its numerator and denominator is 105. what is the numerator and denominator of the fracion?

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Question 398445: A particular fraction is equivalent to 2/3. The sum of its numerator and denominator is 105. what is the numerator and denominator of the fracion?

Answer by ewatrrr(24785) About Me  (Show Source):
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Hi

The sum of its numerator and denominator is 105

Let x and (105-x)represent the numerator and denominator respectively

Question states***

+x+%2F%28105-x%29+=+2%2F3+  |cross multiplying to solve for x

 3x = 2(105-x)

 3x = 210 - 2x

 5x = 210

  x = 42, the numerator.  The denominator is 63.   (105-42)



CHECKING our Answer***

  42/63 = 2/3