SOLUTION: I have no idea if this is a complex number problem or not (it deals with imaginary numbers) but I can't figure out how to solve 4+7i/5+5i. This problem is a fraction

Algebra ->  Complex Numbers Imaginary Numbers Solvers and Lesson -> SOLUTION: I have no idea if this is a complex number problem or not (it deals with imaginary numbers) but I can't figure out how to solve 4+7i/5+5i. This problem is a fraction      Log On


   

Question 491856: I have no idea if this is a complex number problem or not (it deals with imaginary numbers) but I can't figure out how to solve 4+7i/5+5i. This problem is a fraction
Answer by Alan3354(69443) About Me  (Show Source):
You can put this solution on YOUR website!
I think you mean (4+7i)/(5+5i)
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There's nothing to solve, it's not an equation.
You can rationalize the denominator, ie, make it a real number.
(4+7i)/(5+5i) = (4+7i)/5(1+i)
Multiply the NUM and DEN by the conjugate of 1+i, which is 1-i
%284%2B7i%29%2F5%281%2Bi%29+=+%284%2B7i%29%281-i%29%2F%285%281%2Bi%29%281-i%29%29
= %284%2B7+%2B3i%29%2F%285%2A2%29
= %2811%2B3i%29%2F10