Question

when a fraction of 12 is taken away from 17, what remain exceed one-third of seventeen by six.

Answer 1

x - the fraction

$17- 12x=\frac{1}{3} \times 17+6 \\ 17-12x=\frac{17}{3}+6 \\ -12x=\frac{17}{3}+6-17 \\ -12x=\frac{17}{3}-11 \\ -12x=\frac{17}{3}-\frac{33}{3} \\ -12x=-\frac{16}{3} \\ x=-\frac{16}{3} \times (-\frac{1}{12}) \\ x=\frac{16}{36} \\ x=\frac{4}{9}$

The fraction is 4/9.