Basic Math Examples

$3 i \div 9 - 8 i$

Step 1

To write $- 8 i$ as a fraction with a common denominator, multiply by $\frac{9}{9}$ .

$3 i \div 9 - 8 i \cdot \frac{9}{9}$

Step 2

Combine $- 8 i$ and $\frac{9}{9}$ .

$3 i \div 9 + \frac{- 8 i \cdot 9}{9}$

Step 3

Combine the numerators over the common denominator.

$- 69 i \div 9$

Step 4

Reduce the expression $- 69 i \div 9$ by cancelling the common factors.

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Step 4.1

Factor $3$ out of $- 69 i$ .

$3 (- 23 i) \div 9$

Step 4.2

Factor $3$ out of $9$ .

$3 (- 23 i) \div 3 (3)$

Step 4.3

Cancel the common factor.

$3 (- 23 i) \div 3 \cdot 3$

Step 4.4

Rewrite the expression.

$\frac{- 23 i}{3}$