1÷((1÷x)+(1÷y)+(1÷z))
You asked:
Evaluate the expression: \(\frac{1}{\frac{1}{x} + \frac{1}{y} + \frac{1}{z}}\)
MathBot Answer:
\[\frac{1}{\frac{1}{x} + \frac{1}{y} + \frac{1}{z}} = \frac{1}{\frac{1}{z} + \frac{1}{y} + \frac{1}{x}}\]
Factored
\[\frac{1}{\frac{1}{x} + \frac{1}{y} + \frac{1}{z}} = \frac{x y z}{x y + x z + y z}\]