SOLUTION: the denominator of the fraction 4/17 is increased by an amount so that the value of the resulting fraction is 2/13. Determine the amount by which the denominator wqs increased.

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Question 25151: the denominator of the fraction 4/17 is increased by an amount so that the value of the resulting fraction is 2/13. Determine the amount by which the denominator wqs increased.
Answer by rapaljer(4671) About Me  (Show Source):
You can put this solution on YOUR website!
4%2F%2817%2Bx%29+=+2%2F3

Since a%2Fb=c%2Fdmeans that ad=bc
4%2F%2817%2Bx%29+=+2%2F3 means that 3%284%29+=+2%2817%2Bx%29
12+=+34+%2B+2x

Subtract 34 from each side:
12-34+=+34+-34+%2B2x+
-22+=+2x+
-11=+x

Check:
4%2F%2817-11%29+=+4%2F6+=+2%2F3
It checks!!


NO EXTRA CHARGE--If the numerator AND denominator of the fraction 4/17 are increase by an amount so that the value of the resulting fraction is 2/13, determine the amount they were increased by.

SOLUTION: %284%2Bx%29%2F%2817%2Bx%29+=+2%2F3

Since a%2Fb=c%2Fdmeans that ad=bc
%284%2Bx%29%2F%2817%2Bx%29+=+2%2F3 means that 3%284%2Bx%29+=+2%2817%2Bx%29

3%284%2Bx%29+=+2%2817%2Bx%29
12+3x = 34 + 2x

Subtract 2x from each side:
12+3x -2x = 34 +2x -2x
12+x = 34

Subtract 12 from each side:
12-12 + x = 34 - 12
x = 22

Check:
%284%2B22%29%2F%2817%2B22%29=+26%2F39+=+2%2F3

R^2 at SCC