How do I compute the following complex number? This was the problem I was given:
Compute the complex number for $\frac{(18-7i)}{(12-5i)}$.
I was told to write this in the form of $a+bi$.
So please give me a hint of how to do this. :)

You can "rationalize" or more accurately "real-ize" the denominator by multiplying the numerator and denominator by denominator's conjugate. It is just like with radicals. You will get:
$$\frac{18-7i}{12-5i}=\frac{(18-7i)(12+5i)}{(12-5i)(12+5i)}=\frac{216-84i+90i-35i^2}{144-60i+60i-25i^2}=\frac{216+6i+35}{144+25}=\frac{251+6i}{169}$$
More accurate answer would be: $$\frac{251+6i}{169}=\frac{251}{169}+\frac{6}{169}i$$
If you want the decimal answer, it is around $1.485207101+0.035502959i$.
