simplify 1/(-4i) — step-by-step solution

Let's reduce:

\frac{1}{-4 i}

ⓘ The sign of a fraction goes in front of the bar, whether it comes from the numerator or the denominator:

\frac{1}{- 4 i}

- \frac{1}{4 i}

- \frac{1}{4 i}

ⓘ To remove i from the denominator, multiply the numerator and the denominator by i, since i*i = -1:

- \frac{1}{4 i}

- \frac{i}{-4}

- \frac{i}{-4}

ⓘ Two minus signs cancel out:

- \frac{i}{-4}

\frac{i}{4}

\frac{i}{4}

ⓘ A complex number is written in algebraic form a + b*i, a being its real part and b its imaginary part:

\frac{i}{4}

\frac{1}{4} \times i

▶Simplified form:

\frac{1}{4} \times i

The numeric value of:

\frac{1}{4} \times i

equals:

▷

0.25 i