Question 194826
{{{(-5+i)/(-7+i)}}}
Multiply by the conjugate; FOIL the numerator
{{{(-5+i)/(-7+i)}}} * {{{(-7-i)/(-7-i)}}} = {{{((-5+i)(-7-i))/(49 - i^2)}}} = {{{(35+5i-7i-i^2)/(49 - (-1))}}} = {{{(35-2i-(-1))/(49 + 1)}}} = {{{(35-2i+1)/(50)}}} = {{{(36-2i)/(50)}}}
simplify
{{{2(18-i)/(50)}}} = {{{(18-i)/25}}}