ANSWER
The given complex number written in standard form is
[tex] \frac{2}{3} + \frac{17i}{2} [/tex]
EXPLANATION
A complex number in standard form is written as
[tex]a + bi[/tex]
where
[tex]a[/tex]
and
[tex]b[/tex]
are real numbers.
The given complex number is,
[tex]( \frac{2}{3} + 6i) + \frac{5}{2}i [/tex]
We group like terms to get,
[tex] = \frac{2}{3} + 6i + \frac{5}{2} i[/tex]
We collect LCM for the complex parts to get,
[tex] = \frac{2}{3} + \frac{12i + 5i}{2} [/tex]
This simplifies to,
[tex] =\frac{2}{3} + \frac{17i}{2} [/tex]
