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.

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) (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.
=
Find the fraction.
cross multiply
3(n-1) = 2(d+2)
3n - 3 = 2d + 4
3n = 2d + 4 + 3
3n = 2d + 7
n +
we know n < d and they have to be integers
first values to satisfy this is:
n = 9, d = 10: is the fraction
:
:
Check
= =

Answer by MathTherapy(10549) (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!!
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