5÷58.5×100

asked by guest
on Nov 13, 2024 at 10:48 pm



You asked:

Evaluate the expression: \(\frac{5}{58.5} \cdot 100\)

MathBot Answer:

\[\frac{5}{58.5} \cdot 100 = \frac{1000}{117} = 8.\overline{547008}\]

\[\begin{aligned}\frac{5}{58.5} \cdot 100& = 5 \cdot \frac{1}{58 + \frac{5}{10}} \cdot 100\\& = 5 \cdot \frac{1}{58 + \frac{1}{2}} \cdot 100\\& = 5 \cdot \frac{1}{\frac{117}{2}} \cdot 100\\& = 5 \cdot \frac{2}{117} \cdot 100\\& = \frac{10}{117} \cdot 100\\& = \frac{1000}{117}\end{aligned}\]

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