How to identify series and parallel combinations of resistors in complex circuits?

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Solution

If all of the current leaving one resistor enters another resistor, the two resistors are in series.

The resistances of series connected resistors can be added together to find the equivalent resistance of a single resistor, e.g.,
Req=R1+R2
If all of the voltage across one resistor is across another resistor, the two resistors are in parallel.

The conductances of parallel connected resistors can be added together to find the equivalent conductance of a single resistor,

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