What is (4+3i)/(5+3i) ?

The solution to (4+3i)/(5+3i) is 29/34+3/34 i

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simplify (4+3i)/(5+3i)

simplify

\frac{4 + 3 i}{5 + 3 i}

\frac{29}{34} + \frac{3}{34} i

Solution steps

\frac{4 + 3 i}{5 + 3 i}

Multiply by the conjugate

\frac{5 - 3 i}{5 - 3 i}

= \frac{( 4 + 3 i ) ( 5 - 3 i )}{( 5 + 3 i ) ( 5 - 3 i )}

Simplify

\frac{( 4 + 3 i ) ( 5 - 3 i )}{( 5 + 3 i ) ( 5 - 3 i )} : \frac{29 + 3 i}{34}

= \frac{29 + 3 i}{34}

Rewrite in standard complex form:

\frac{29}{34} + \frac{3}{34} i

= \frac{29}{34} + \frac{3}{34} i

\frac{4 x}{5} \cdot \frac{5}{6 y} + \frac{10}{21}

- \frac{2}{x} \leq x

∣ x - 1 ∣ + ∣ x - 1 ∣ = 2

\frac{5 x y ^{8}}{5 x ^{6} y ^{4}}

(\frac{5}{b})^{- 3}