62.4/5.5

asked by guest
on Jan 22, 2025 at 3:58 am



You asked:

Evaluate the expression: \(\frac{62.4}{5.5}\)

MathBot Answer:

\[\frac{62.4}{5.5} = \frac{624}{55} = 11.3\overline{45}\]

\[\begin{aligned}\frac{62.4}{5.5}& = \left(62 + \frac{4}{10}\right) \cdot \frac{1}{5 + \frac{5}{10}}\\& = \left(62 + \frac{2}{5}\right) \cdot \frac{1}{5 + \frac{5}{10}}\\& = \frac{312}{5} \cdot \frac{1}{5 + \frac{5}{10}}\\& = \frac{312}{5} \cdot \frac{1}{5 + \frac{1}{2}}\\& = \frac{312}{5} \cdot \frac{1}{\frac{11}{2}}\\& = \frac{624}{55}\end{aligned}\]

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