1÷((1÷x)+(1÷y)+(1÷z))

asked by guest
on Jan 15, 2025 at 10:49 am



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

\[\frac{1}{\frac{1}{x} + \frac{1}{y} + \frac{1}{z}} = \frac{x y z}{x y + x z + y z}\]