3.55รท5.5

asked by guest
on Sep 22, 2024 at 8:15 am



You asked:

Evaluate the expression: \(\frac{3.55}{5.5}\)

MathBot Answer:

\[\frac{3.55}{5.5} = \frac{71}{110} = 0.6\overline{45}\]

\[\begin{aligned}\frac{3.55}{5.5}& = \left(3 + \frac{55}{100}\right) \cdot \frac{1}{5 + \frac{5}{10}}\\& = \left(3 + \frac{11}{20}\right) \cdot \frac{1}{5 + \frac{5}{10}}\\& = \frac{71}{20} \cdot \frac{1}{5 + \frac{5}{10}}\\& = \frac{71}{20} \cdot \frac{1}{5 + \frac{1}{2}}\\& = \frac{71}{20} \cdot \frac{1}{\frac{11}{2}}\\& = \frac{71}{110}\end{aligned}\]

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