3 years ago

Simplify the complex fraction. 3/4 2/5

Mathematics

1 answer:

laiz [17]3 years ago

8 0

Answer:

assuming you meant (3/4)/(2/5)

15/8 or 1 7/8

Step-by-step explanation:

use a calculator

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Divide: (5 + 4i) / (-3 – 2i)

Phantasy [73]

Answer:

Step-by-step explanation:

$\frac{5+4i}{-3-2i}\\\\\mathrm{Apply\:complex\:arithmetic\:rule}:\\\\\quad \frac{a+bi}{c+di}\:=\:\frac{\left(c-di\right)\left(a+bi\right)}{\left(c-di\right)\left(c+di\right)}\:=\:\frac{\left(ac+bd\right)+\left(bc-ad\right)i}{c^2+d^2}\\\\a=5,\:b=4,\:c=-3,\:d=-2\\\\=\frac{\left(5\left(-3\right)+4\left(-2\right)\right)+\left(4\left(-3\right)-5\left(-2\right)\right)i}{\left(-3\right)^2+\left(-2\right)^2}\\\\Refine\\=\frac{-23-2i}{13}\\\\$