Algebra: A Combined Approach (4th Edition)

$\dfrac{5}{6i}=0-\dfrac{5}{6}i$
$\dfrac{5}{6i}$ Multiply the numerator and the denominator of this expression by the complex conjugate of the denominator: $\dfrac{5}{6i}=\dfrac{5}{6i}\cdot\dfrac{-6i}{-6i}=\dfrac{-30i}{-36i^{2}}=...$ Substitute $i^{2}$ by $-1$ and simplify: $...=\dfrac{-30i}{-36(-1)}=\dfrac{-30i}{36}=-\dfrac{5}{6}i$