# math

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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 -

(D-3)/D = fraction=1/4fraction
fraction^2=1/4
fraction=1/2
fraction=3/6

• math -

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 -

Can you help me with a math problem

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