SOLUTION: the numerator of a fraction is less than the denominator. If the numerator is decreased by 1 and the denominator increased by 2, the value of the 2/3. Find the fraction.

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Question 1150571: the numerator of a fraction is less than the denominator. If the numerator is decreased by 1 and the denominator increased by 2, the value of the 2/3. Find the fraction.
Found 2 solutions by ankor@dixie-net.com, MathTherapy:
Answer by ankor@dixie-net.com(22740) About Me  (Show Source):
You can put this solution on YOUR website!
the numerator of a fraction is less than the denominator.
n < d
If the numerator is decreased by 1 and the denominator increased by 2, the value of the 2/3.
%28%28n-1%29%29%2F%28%28d%2B2%29%29 = 2%2F3
Find the fraction.
cross multiply
3(n-1) = 2(d+2)
3n - 3 = 2d + 4
3n = 2d + 4 + 3
3n = 2d + 7
n + %28%282d%2B7%29%29%2F3
we know n < d and they have to be integers
first values to satisfy this is:
n = 9, d = 10: 9%2F10 is the fraction
:
:
Check
%28%289-1%29%29%2F%28%2810%2B2%29%29 = 8%2F12 = 2%2F3

Answer by MathTherapy(10549) About Me  (Show Source):
You can put this solution on YOUR website!

the numerator of a fraction is less than the denominator. If the numerator is decreased by 1 and the denominator increased by 2, the value of the 2/3. Find the fraction.
A VERY STUPID problem. 

Need at least 1 more clue to determine a SPECIFIC fraction. As it now stands, there are MULTIPLE or a WIDE RANGE of fractions that are possible.

Three of these are: . You get my "drift?"

Now, see if you can see a pattern based on these 3, and then see if you can find some more. I bet you can!!