Solve (1-3i)/(3 i) - ScanMath

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Type your math problem... (1-3i)/(3 i)

x

Question

Simplify the expression

- 1 - \frac{1}{3} i

Evaluate

\frac{1 - 3 i}{3 i}

Multiply by the Conjugate

\frac{( 1 - 3 i ) i}{3 i \times i}

Calculate

More Steps

Evaluate

(1 - 3 i) i

Apply the distributive property

i - 3 i \times i

Multiply the numbers

More Steps

Evaluate

- 3 i \times i

Multiply

- 3 i^{2}

Use i^{2} = - 1 to transform the expression

- 3 (- 1)

Calculate

3

i + 3

Reorder the terms

3 + i

\frac{3 + i}{3 i \times i}

Calculate

More Steps

Evaluate

3 i \times i

Multiply

3 i^{2}

Use i^{2} = - 1 to transform the expression

3 (- 1)

Calculate

- 3

\frac{3 + i}{- 3}

Use \frac{- a}{b} = \frac{a}{- b} = - \frac{a}{b} to rewrite the fraction

- \frac{3 + i}{3}

Solution

- 1 - \frac{1}{3} i

Show Solution

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