What is (7-3i)/(7-2i) ?

The solution to (7-3i)/(7-2i) is 55/53-7/53 i

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simplify (7-3i)/(7-2i)

simplify

\frac{7 - 3 i}{7 - 2 i}

\frac{55}{53} - \frac{7}{53} i

Solution steps

\frac{7 - 3 i}{7 - 2 i}

Multiply by the conjugate

\frac{7 + 2 i}{7 + 2 i}

= \frac{( 7 - 3 i ) ( 7 + 2 i )}{( 7 - 2 i ) ( 7 + 2 i )}

Simplify

\frac{( 7 - 3 i ) ( 7 + 2 i )}{( 7 - 2 i ) ( 7 + 2 i )} : \frac{55 - 7 i}{53}

= \frac{55 - 7 i}{53}

Rewrite in standard complex form:

\frac{55}{53} - \frac{7}{53} i

= \frac{55}{53} - \frac{7}{53} i

\frac{0.1 + 4 - 2}{0.1}

\frac{3}{4} \cdot \frac{12}{27}

\frac{3 a}{a - 1} + \frac{2}{3 a + 4}

- \frac{1}{3} - (- \frac{1}{2})