The denominator of a fraction is $4$ more than twice the numerator. When both the numerator and denominator are decreased by $6$, the denominator becomes $12$ times the numerator. Determine the fraction.
I tried the following,
Let the numerator be $x$ and the denominator be $y$
Therefore, Fraction$=$ $x$/$4$$+$$2$$x$
Because, both the numerator and denominator are decreased by 6
Therefore, the new fraction becomes $x$$-$6/$($$4$$+$$2$$x$$)$$-$$6$$=$$12$$x$
I do not know how to proceed further.
Best Answer
Using your notation you have:
$$y=2x+4$$
And the next condition reads:
$$12(x-6)=y-6$$
Because if the denominator is 12 times the numerator that means that your fraction is equal to $\frac{1}{12}$.
So from this system of equations you can get the values of $x$ and $y$. I will give them to you but I'll let you go through the last steps of the process to get them:
$$x=7 \qquad y=18$$