/sci/ - Science & Math

Math brainlet here. Having a bit of trouble figuring how to correctly derive the equation in pic related. It would seem to me that this says:

[math]\mathrm{E}_{n}^{} = \frac{\mathrm{E}_{Total}^{}}{\mathrm{R}_{Total}^{}} * \mathrm{R}_{n}^{}[/math]

is equivalent to

[math]\mathrm{E}_{n}^{} = \mathrm{E}_{Total}^{} * \frac{\mathrm{R}_{n}^{}}{\mathrm{R}_{Total}^{}}[/math]

However this does not make much sense. What I’m missing?

Math brainlet here. I've trying to derive this Voltage Divider Formula, however I don't quite understand the ending.

Does this mean that

<math>\mathrm{E}_{n}^{} = \frac{\mathrm{E}_{Total}^{}}{\mathrm{R}_{Total}^{}} * \mathrm{R}_{n}^{} </math>

Is equal to

<math>\mathrm{E}_{n}^{} = \mathrm{E}_{Total}^{} * \frac{\mathrm{R}_{n}^{}}{\mathrm{R}_{Total}^{}}</math>

If that's the case how is that derived? Any clues?
Thanks