math
posted by sonja on .
A fraction's numerator is 3 less than its denominator. Its reciprocal is 4 times its value. It is greater than 0. What is the fraction?

(D3)/D = fraction=1/4fraction
fraction^2=1/4
fraction=1/2
fraction=3/6 
let the denominator be x
then the numerator is x3
and the fraction is (x3)/x
the reciprocal is 4 times the original fraction
> x/(x3) = 4(x3)/x
crossmultiplying and simplifying I got
x^2  8x + 12 = 0
(x2)(x6) = 0
x = 2 or x = 6
but x=2 produces a negative value, which was not allowed
so x = 6
so the fraction was 3/6 = 1/2
reciprocal is 2/1 = 2
is that 4(1/2) ? yes! 
Can you help me with a math problem