Solve \frac{i}{13i} \frac{i}{1-3i}

Evaluate

\frac{i}{13 i} \times \frac{i}{1 - 3 i}

Reduce the numbers

\frac{i}{13} \times \frac{1}{1 - 3 i}

Reduce the fraction

\frac{1}{13} i \times \frac{1}{1 - 3 i}

Divide the terms

More Steps

\frac{1}{13} i (\frac{1}{10} + \frac{3}{10} i)

Apply the distributive property

\frac{1}{13} i \times \frac{1}{10} + \frac{1}{13} i \times \frac{3}{10} i

Multiply the numbers

\frac{1}{130} i + \frac{1}{13} i \times \frac{3}{10} i

Multiply the numbers

More Steps

\frac{1}{130} i - \frac{3}{130}

Solution

- \frac{3}{130} + \frac{1}{130} i

Simplify the expression