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The fraction is 2/8, which can be simplified, if required.

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Q: There are 8 ducks swimming in a pond. If 6 have green wings and 2 have blue wings what fraction of the ducks have blue wings?
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How do we apply complex number in our life?

If you've ever flown then you used complex numbers. The basic equation w=z+1/z is used to design air foils (airplane wings). While you don't actually concern yourself with these equations anymore than the thermodynamic equations that govern the running of your car's engine. Check out the related link for some interesting application of imaginary and complex numbers, though.


What are the applications of complex numbers in real life?

As with many other topics of advanced math, it depends whether your "real life" includes working in some engineering area, or not. If you work in electrical engineering or electronics, you will use complex numbers on a daily basis; similarly if you do a lot of math for some reason.Complex Numbers (ones involving the imaginary unit 'i' which is defined to handle the square root of -1) are a convenient way to describe the behavior of some electric circuits and waves.One thing you may encounter in your 'real life' are uninterruptible power supplies (UPS - what keeps your computer running when the power goes out). You will see ratings such as 500 VA / 300 W. This has to do with Complex Power. Electric circuits, which have inductances (such as transformers and electric motors) or capacitors, behave in a way that is described by complex numbers. While Volts X Amps equals Watts, the 300 W is the 'real power' (the amount available to do work), and the 500 VA is the apparent power (the total power that the power supply is capable of producing). The reactive power (due to capacitance & inductance) is represented by the imaginary component and it is at right angles to the real power (represented by the real component).Another use of complex numbers is in the Fast Fourier Transform (FFT) - one of the most ubiquitous algorithms - used heavily for signal processing. If you have a digital camera, a cell phone, an LCD - FFT is there, bringing complex numbers along.The complex equation w=z+1/z is a basic formula used for designing air foils-airplane wings and Figuring out flow forces around a circular object in water for instance.Please see the related links for details.