Solve (-1/4 i)/(2-3/4 i)

Evaluate

\frac{- \frac{1}{4} i}{2 - \frac{3}{4} i}

Multiply by the Conjugate

\frac{- \frac{1}{4} i ( 2 + \frac{3}{4} i )}{( 2 - \frac{3}{4} i ) ( 2 + \frac{3}{4} i )}

Calculate

More Steps

\frac{\frac{3}{16} - \frac{1}{2} i}{( 2 - \frac{3}{4} i ) ( 2 + \frac{3}{4} i )}

Calculate

More Steps

\frac{\frac{3}{16} - \frac{1}{2} i}{\frac{73}{16}}

Multiply by the reciprocal

(\frac{3}{16} - \frac{1}{2} i) \times \frac{16}{73}

Apply the distributive property

\frac{3}{16} \times \frac{16}{73} - \frac{1}{2} i \times \frac{16}{73}

Multiply the numbers

More Steps

\frac{3}{73} - \frac{1}{2} i \times \frac{16}{73}

Solution

\frac{3}{73} - \frac{8}{73} i

Simplify the expression