*** I will give you a medal if you can help/answer ***
Simplify the complex fraction. (I'm going to draw it)
@jim_thompson5910

Question

*** I will give you a medal if you can help/answer ***
Simplify the complex fraction. (I'm going to draw it)
@jim_thompson5910

tkhunny · Answer

Have you considered the Complex Conjugate?

anonymous · Answer

|dw:1359786174744:dw|

tkhunny · Answer

Ph, you mean the realatively complicated fraction.  i DOwish textbooks would quit caling these "Complex" fractions.  VERY confusing!

Is it this?  $\dfrac{x+ \dfrac{4x}{y}}{\dfrac{7}{3y}}$

unklerhaukus · Answer

$$\frac{a}{b/c}=\frac{ac}b$$

anonymous · Answer

the 3y is 3x .. but yes that is what it looks like.

tkhunny · Answer

Justaket a piece at a time.  $x + \dfrac{4x}{y} = \dfrac{xy}{y} + \dfrac{4x}{y} =\dfrac{xy + 4x}{y}$

anonymous · Answer

what about the 3 ?

tkhunny · Answer

You tell me.  That's the next part.  We have $\dfrac{\dfrac{xy+4x}{y}}{\dfrac{7}{3x}}$

anonymous · Answer

am i going to multiply the top part (what you just did) but the recip of the bottom part which would be (3x)/(7)

tkhunny · Answer

Perfect.  That is exactly correct.

anonymous · Answer

okayy.. so the denominator would be 7y. (Still working on the problem)

tkhunny · Answer

Yes.

anonymous · Answer

and the numerator would be ... 3x^2(y+4) ?

tkhunny · Answer

That's it!

anonymous · Answer

that's the answer ? I don't distribute or anything? that's my final answer?

tkhunny · Answer

An important of mathmatical confidence is knowing whe you are done.  Move on to the next one!

anonymous · Answer

Thank you (:

tkhunny · Answer

* important part