Question

if numerator of a fraction is 6 less than the denominator if 3 added to the numerator the fraction equals to 2/3 what is the original fraction equal to

Answer 1

$\frac{x - 6}{x} \\ \frac{x - 6 + 3}{x} = \frac{2}{3 } \\ \frac{x - 3}{x} = \frac{2}{3} \\ 3x - 9 = 2x \\ x = 9 \\ \\ fraction \: is \: \frac{3}{9}$