Question 148302
{{{(8+5i)/(6-4i)}}} Start with the given expression.



{{{((8+5i)/(6-4i))((6+4i)/(6+4i))}}} Multiply the fraction by {{{(6+4i)/(6+4i)}}}



{{{((8+5i)(6+4i))/((6-4i)(6+4i))}}} Combine the fractions.



{{{(48+62i+20i^2)/(36-16i^2)}}} FOIL



{{{(48+62i+20(-1))/(36-16(-1))}}} Replace {{{i^2}}} with {{{-1}}}



{{{(48+62i-20)/(36+16)}}} Multiply



{{{(28+62i)/(52)}}} Combine like terms.



{{{(28)/(52)+(62i)/(52)}}} Break up the fraction



{{{7/13+(31/26)i}}} Reduce



So the expression is now in a+bi form where {{{a=7/13}}} and {{{b=31/26}}}