Simplify. (–4i)/(–9i) Write your answer in the form a + bi. Reduce all fractions. ______

Separate numbers and imaginary unit: Separate the numbers and the imaginary unit (i). The expression (-4i)/(-9i) can be written as (-4)/(-9) * i/i.Simplify negative fraction: Simplify the fraction (-4)/(-9). Since both the numerator and the denominator are negative, they will cancel each other out, leaving us with a positive fraction. (-4)/(-9) simplifies to 4/9.Simplify imaginary unit: Simplify the imaginary unit fraction i/i. The imaginary unit i divided by itself is just 1, because any non-zero number divided by itself equals 1. i/i simplifies to 1.Multiply fractions: Multiply the simplified real fraction by the simplified imaginary unit fraction. 4/9 * 1 equals 4/9.Write final answer: Write the final answer in the form a + bi. Since there is no real part and the imaginary part is 4/9, the final answer is 0 + 4/9i.

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Simplify. $\newline$ $\frac{{-4i}}{{-9i}}$ $\newline$ $\newline$ Write your simplified answer in the form $a + bi$ .

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Algebra 2

Divide complex numbers

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Q. Simplify.

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\frac{{-4i}}{{-9i}}

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Write your simplified answer in the form

a + bi

Separate numbers and imaginary unit: Separate the numbers and the imaginary unit ( $i$ ). The expression $(-4i)/(-9i)$ can be written as $(-4)/(-9) \times i/i$ .
Simplify negative fraction: Simplify the fraction $(-4)/(-9)$ . $\newline$ Since both the numerator and the denominator are negative, they will cancel each other out, leaving us with a positive fraction. $\newline$ $(-4)/(-9)$ simplifies to $4/9$ .
Simplify imaginary unit: Simplify the imaginary unit fraction $i/i$ . $\newline$ The imaginary unit $i$ divided by itself is just $1$ , because any non-zero number divided by itself equals $1$ . $\newline$ $i/i$ simplifies to $1$ .
Multiply fractions: Multiply the simplified real fraction by the simplified imaginary unit fraction. $\frac{4}{9} \times 1$ equals $\frac{4}{9}.$
Write final answer: Write the final answer in the form $a + bi$ . Since there is no real part and the imaginary part is $\frac{4}{9}$ , the final answer is $0 + \frac{4}{9}i$ .