Posted by **sonja** on Monday, May 25, 2009 at 7:00pm.

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?

- math -
**bobpursley**, Monday, May 25, 2009 at 7:08pm
(D-3)/D = fraction=1/4fraction

fraction^2=1/4

fraction=1/2

fraction=3/6

- math -
**Reiny**, Monday, May 25, 2009 at 7:10pm
let the denominator be x

then the numerator is x-3

and the fraction is (x-3)/x

the reciprocal is 4 times the original fraction

---> x/(x-3) = 4(x-3)/x

cross-multiplying and simplifying I got

x^2 - 8x + 12 = 0

(x-2)(x-6) = 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!

- math -
**Tony**, Wednesday, January 16, 2013 at 7:35pm
Can you help me with a math problem

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