1 ÷ (1 ÷ 85 + 1 ÷ 100 + 1 ÷ 150)

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



You asked:

Evaluate the expression: 1185+1100+1150\frac{1}{\frac{1}{85} + \frac{1}{100} + \frac{1}{150}}

MathBot Answer:

1185+1100+1150=102029=35.1724137931034482758620689655\frac{1}{\frac{1}{85} + \frac{1}{100} + \frac{1}{150}} = \frac{1020}{29} = 35.\overline{1724137931034482758620689655}


1185+1100+1150=1371700+1150=1291020=102029\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}