1 ÷ (1 ÷ 85 + 1 ÷ 100 + 1 ÷ 150)

asked by guest
on Jan 21, 2025 at 6:08 am



You asked:

Evaluate the expression: \(\frac{1}{\frac{1}{85} + \frac{1}{100} + \frac{1}{150}}\)

MathBot Answer:

\[\frac{1}{\frac{1}{85} + \frac{1}{100} + \frac{1}{150}} = \frac{1020}{29} = 35.\overline{1724137931034482758620689655}\]

\[\begin{aligned}\frac{1}{\frac{1}{85} + \frac{1}{100} + \frac{1}{150}}& = \frac{1}{\frac{37}{1700} + \frac{1}{150}}\\& = \frac{1}{\frac{29}{1020}}\\& = \frac{1020}{29}\end{aligned}\]

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