# Solve this question (1-i)/(2+4i)

Question
Solve this question
$$\displaystyle\frac{{{1}-{i}}}{{{2}+{4}{i}}}$$

2021-02-13
The trick is to use the complex conjugate of the denominator to make the denominator real. And then simplify.
$$\displaystyle{\frac{{{1}-{i}}}{{{2}+{4}{i}}}}={\frac{{{1}-{i}}}{{{2}+{4}{i}}}}\times{\frac{{{2}-{4}{i}}}{{{2}-{4}{i}}}}={\frac{{{2}-{4}{i}-{2}{i}-{4}}}{{{4}+{16}}}}={\frac{{-{2}-{6}{i}}}{{{20}}}}={\frac{{-{1}-{3}{i}}}{{{10}}}}$$

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