Question 440241
Multiply the numerator and denominator by the conjugate of denominator: 2+3i,

{{{(4+6i)(2+3i)/(2-3i)(2+3i)=(8+12i+12i-18)/(4+9)=(-10+24i)/13 }}}=

= {{{(-10/13)+(24/13)i }}}

Done.