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Simplify 3i7i\frac{{-3i}}{{-7i}}\newline\newlineWrite your simplified answer in the form a+bia + bi.

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Q. Simplify 3i7i\frac{{-3i}}{{-7i}}\newline\newlineWrite your simplified answer in the form a+bia + bi.
  1. Separate numbers and imaginary unit: Separate the numbers and imaginary unit.\newline 3i7i \frac{-3i}{-7i} can be written as 37×ii \frac{-3}{-7} \times \frac{i}{i} .
  2. Simplify fractions:\newline Simplify: 37ii \frac{-3}{-7} \cdot \frac{i}{i} \newline 37ii=371 \frac{-3}{-7} \cdot \frac{i}{i} = \frac{3}{7} \cdot 1
  3. Final simplification: Simplify 37×1 \frac{3}{7} \times 1 .\newline 37×1=37 \frac{3}{7} \times 1 = \frac{3}{7}

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