Basic Math Examples

$5 + 10 i \div 6 - 2 i$

Step 1

Simplify each term.

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Step 1.1

Rewrite the division as a fraction.

$5 + \frac{10 i}{6} - 2 i$

Step 1.2

Cancel the common factor of $10$ and $6$ .

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Step 1.2.1

Factor $2$ out of $10 i$ .

$5 + \frac{2 (5 i)}{6} - 2 i$

Step 1.2.2

Cancel the common factors.

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Step 1.2.2.1

Factor $2$ out of $6$ .

$5 + \frac{2 (5 i)}{2 (3)} - 2 i$

Step 1.2.2.2

Cancel the common factor.

$5 + \frac{2 (5 i)}{2 \cdot 3} - 2 i$

Step 1.2.2.3

Rewrite the expression.

$5 + \frac{5 i}{3} - 2 i$

Step 2

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

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

Step 3

Combine $- 2 i$ and $\frac{3}{3}$ .

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

Step 4

Simplify the expression.

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Step 4.1

Combine the numerators over the common denominator.

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

Step 4.2

Move the negative in front of the fraction.

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