math
posted by sonja .
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
Respond to this Question
Similar Questions

Math
Which is True? A 3/5 > 1/2 B 1/2 < 4/9 C 5/11 > 1/2 D 1/2 > 5/8 How do I determine? 
Maths
When the numerator and denominator of a fraction are each increased by 5, the value of the fraction becomes 3/5 When the numerator and denominator of that same fraction are each decreased by 5, the fraction is then 1/5 Find the original … 
Algebra
the denominator of a fractio is an integer that is one greater than the numerator. A second fraction is the reciprocal of the integer that is one less than the numerator of the first fraction. If the product of the two fraction is … 
precal help
The numerator of a fraction is four less than the denominator The sum of the fraction and its reciprocal is 5/2 Find the numerator and denominator if each is a positive integer 
precal help
The numerator of a fraction is four less than the denominator The sum of the fraction and its reciprocal is 5/2 Find the numerator and denominator if each is a positive integer 
MathAlgebra
The numerator of a fraction is 3 less than the denominator. If 5 is added to the numerator and the denominator, the value of the resulting fraction becomes 3/4. What is the original fraction? 
Math
The numerator of a simple fraction is 2 less than its denominator. The sum of this fraction and its reciprocal is 2 4/35. Find this fraction. 
GEN MATH
Solve the ff. problems. Present a complete and systematic solution. 1.) A number added to twice its reciprocal is equal to 11/3. WHat is the number? 
Math
A denominator of a fraction exceeds the numerator by 1 if 2 is taken from each the sum of the reciprocal of the new fraction and 4 times the original fraction is 5. Find the original fraction 
math
The denominator of a fraction exceeds the numerator by 1.if 2 be taken from each ,the sum of the reciprocal of the new fraction and 4 times the original fraction is 5 .find the original fraction?