Algebra Examples

$(\frac{3 - 4 i}{5}) - 1$

Step 1

Simplify each term.

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Step 1.1

Split the fraction $\frac{3 - 4 i}{5}$ into two fractions.

$\frac{3}{5} + \frac{- 4 i}{5} - 1$

Step 1.2

Move the negative in front of the fraction.

$\frac{3}{5} - \frac{4 i}{5} - 1$

Step 2

To write $- 1$ as a fraction with a common denominator, multiply by $\frac{5}{5}$ .

$\frac{3}{5} - 1 \cdot \frac{5}{5} - \frac{4 i}{5}$

Step 3

Combine $- 1$ and $\frac{5}{5}$ .

$\frac{3}{5} + \frac{- 1 \cdot 5}{5} - \frac{4 i}{5}$

Step 4

Combine the numerators over the common denominator.

$\frac{3 - 1 \cdot 5}{5} - \frac{4 i}{5}$

Step 5

Simplify the numerator.

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Step 5.1

Multiply $- 1$ by $5$ .

$\frac{3 - 5}{5} - \frac{4 i}{5}$

Step 5.2

Subtract $5$ from $3$ .

$\frac{- 2}{5} - \frac{4 i}{5}$

Step 6

Move the negative in front of the fraction.

$- \frac{2}{5} - \frac{4 i}{5}$