Simplify 5/6i-1/3i

$\frac{5}{6} i - \frac{1}{3} i$

Simplify each term.

Combine $\frac{5}{6}$ and $i$ .

$\frac{5 i}{6} - \frac{1}{3} \cdot i$

Combine $i$ and $\frac{1}{3}$ .

$\frac{5 i}{6} - \frac{i}{3}$

To write $- \frac{i}{3}$ as a fraction with a common denominator, multiply by $\frac{2}{2}$ .

$\frac{5 i}{6} - \frac{i}{3} \cdot \frac{2}{2}$

Write each expression with a common denominator of $6$ , by multiplying each by an appropriate factor of $1$ .

Multiply $\frac{i}{3}$ by $\frac{2}{2}$ .

$\frac{5 i}{6} - \frac{i \cdot 2}{3 \cdot 2}$

Multiply $3$ by $2$ .

$\frac{5 i}{6} - \frac{i \cdot 2}{6}$

Combine the numerators over the common denominator.

$\frac{3 i}{6}$

Cancel the common factor of $3$ and $6$ .

Factor $3$ out of $3 i$ .

$\frac{3 (i)}{6}$

Cancel the common factors.

Factor $3$ out of $6$ .

$\frac{3 i}{3 \cdot 2}$

Cancel the common factor.

$\frac{3 i}{3 \cdot 2}$

Rewrite the expression.

$\frac{i}{2}$