## anonymous 3 years ago Divide. Rewrite the expression so that the imaginary unit does not appear in the denominator. 5+8i/9i

1. anonymous

$\frac{ 5+8i }{ 9i }$

2. anonymous

multiply top and bottom by $$i$$

3. anonymous

$\frac{ 5 + 8i }{ 9i }$ $\frac{ 5 + 8i }{ 9i }\times \frac{ 9i }{ 9i }$ $\frac{ 9i(5 + 8i) }{ -81 }$

4. anonymous

get $\frac{5i-8}{-9}$

5. anonymous

then you can rewrite it as $\frac{8}{9}-\frac{5}{9}i$

6. anonymous

$\frac{ 45i - 72 }{ -81 }$

7. anonymous

$\frac{ 8 }{ 9 } - \frac{ 5 }{ 9 }i$