SOLUTION: If the numerator and denominator of 7/3 are increased by the same number, the new fraction equals 3/2. What is the number ?

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Question 355427: If the numerator and denominator of 7/3 are increased by the same number, the new fraction equals 3/2. What is the number ?
Answer by jsmallt9(3759) About Me  (Show Source):
You can put this solution on YOUR website!
Let x = the unknown number. Then "the numerator and denominator of 7/3 are increased by the same number, the new fraction equals 3/2" translates into:
%287%2Bx%29%2F%283%2Bx%29+=+3%2F2
This is a proportion. We can use cross multiplication to solve:
(7+x)*2 = (3+x)*3
Now we solve. Start by simplifying:
14 + 2x = 9 + 3x
Get the variable terms on one side (by subtracting 2x from each side):
14 = 9 + x
Subtract 9 from each side:
5 = x