0.555/5.5

asked by guest
on Jan 13, 2025 at 1:24 am



You asked:

Evaluate the expression: \(\frac{0.555}{5.5}\)

MathBot Answer:

\[\frac{0.555}{5.5} = \frac{111}{1100} = 0.10\overline{09}\]

\[\begin{aligned}\frac{0.555}{5.5}& = \frac{555}{1000} \cdot \frac{1}{5 + \frac{5}{10}}\\& = \frac{555}{1000} \cdot \frac{1}{5 + \frac{1}{2}}\\& = \frac{555}{1000} \cdot \frac{1}{\frac{11}{2}}\\& = \frac{555}{5500}\\& = \frac{111}{1100}\end{aligned}\]

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