+3502 guess it dont matter heres a link on how to convert decimals to fractions its really cool just type in a fraction and it converts i to a decimal and even shows you step by step how to do it while giving you the answer first.http://www.calculatorsoup.com/calculators/math/decimal-to-fraction-calculator.php
+130561 1. z1 = 1-i and z2 = 3i z1/z2 = ?
( 1 -i) / (3i) * (3i) / (3i) =
(1 -i) (3i) / 9i^2 =
(1 -i)(3i) / -9 =
( i -1)(3i) / 9 =
3i^2/ 9 - 3i/9 =
-3/9 - i/3 =
-1/3 - i/3
2. z1 = 1+2i and z2 = 1+i z1/z2 = ?
(1 + 2i) / (1 + i) * (1 -i) / (1 - i) =
(1 + 2i)(1- i) / (1 - i^2) =
(1 + 2i)(1- i) / (1 - -1) =
(1 + i -2i^2) / 2 =
(1 + i + 2) / 2 =
(3 + i) /2=
3/2 + i/2
BTW...you can go here http://www.wolframalpha.com/input/?i=%281+%2B+2i%29+%2F+%281+%2B+i%29
and evaluate these...just click into any box and type in your complex ratios....it will simplify them for you....!!!
{I checked both answers using this site....}
