Question

How do I simplify this equation?!?! I have tried to several times, but I can't seem to ever get the correct answer.
4 + 2i / (2/3 + 1/2i)
Help appreciated ASAP. Thank you. :)

Answer 1

guess i wud first get rid of fractions

Answer 2

multiply 6 top and bottom

Answer 3

May I ask why 6?

Answer 4

2/3 x 6 = 12/3 = 4
1/2 x 6 = 6/2 = 3
to get whole numbers

Answer 5

\(\huge \frac {4 + 2i}{\frac{2}{3} + \frac{1}{2}i}\)

Answer 6

^ is ur expression like above ?

Answer 7

yes that is the equation

Answer 8

shamil explained nicely why 6
did u get why 6 ? :)

Answer 9

yes i do now

Answer 10

\(\huge \frac {4 + 2i}{\frac{2}{3} + \frac{1}{2}i} \)


\(\huge \frac {6 \times (4 + 2i)}{6 \times (\frac{2}{3} + \frac{1}{2}i)} \)

Answer 11

I now have 24 + 12i / 4 + 31 .

Answer 12

\[\frac{ 24 + 12i }{ 4 + 3i }\]

Answer 13

how will that further simplify? Would I find the conjugate of the denominator then multiply the top and bottom by it?

Answer 14

\(\huge \frac {4 + 2i}{\frac{2}{3} + \frac{1}{2}i} \)


\(\huge \frac {6 \times (4 + 2i)}{6 \times (\frac{2}{3} + \frac{1}{2}i)} \)


\(\huge \frac {24+12i}{4+3i} \)

Answer 15

exactly !

Answer 16

multiply top and bottom wid conjugate of denominator, so that u get the complex number in standard form

Answer 17

I got 132 - 24i / 25 , but that is not one of my choices. Did I do something wrong?

Answer 18

Could 132 - 24i / 25 become (132 / 25) - (24i / 25) ?

Answer 19

Yes.

Answer 20

You got the answer correct, but it can be written differently.

Answer 21

It's like 4 - 3 / 5
= 4/5 - 3/5

Answer 22

Thank you all so very much!! :)