5.5/62.4
You asked:
Evaluate the expression: \(\frac{5.5}{62.4}\)
MathBot Answer:
\[\frac{5.5}{62.4} = \frac{55}{624} = 0.0881\overline{410256}\]
\[\begin{aligned}\frac{5.5}{62.4}& = \left(5 + \frac{5}{10}\right) \cdot \frac{1}{62 + \frac{4}{10}}\\& = \left(5 + \frac{1}{2}\right) \cdot \frac{1}{62 + \frac{4}{10}}\\& = \frac{11}{2} \cdot \frac{1}{62 + \frac{4}{10}}\\& = \frac{11}{2} \cdot \frac{1}{62 + \frac{2}{5}}\\& = \frac{11}{2} \cdot \frac{1}{\frac{312}{5}}\\& = \frac{55}{624}\end{aligned}\]