48.8/99.2*100

asked by guest
on Jan 15, 2025 at 1:00 am



You asked:

Evaluate the expression: \(\frac{48.8}{99.2} \cdot 100\)

MathBot Answer:

\[\frac{48.8}{99.2} \cdot 100 = \frac{1525}{31} = 49.\overline{193548387096774}\]

\[\begin{aligned}\frac{48.8}{99.2} \cdot 100& = \left(48 + \frac{8}{10}\right) \cdot \frac{1}{99 + \frac{2}{10}} \cdot 100\\& = \left(48 + \frac{4}{5}\right) \cdot \frac{1}{99 + \frac{2}{10}} \cdot 100\\& = \frac{244}{5} \cdot \frac{1}{99 + \frac{2}{10}} \cdot 100\\& = \frac{244}{5} \cdot \frac{1}{99 + \frac{1}{5}} \cdot 100\\& = \frac{244}{5} \cdot \frac{1}{\frac{496}{5}} \cdot 100\\& = \frac{244}{5} \cdot \frac{5}{496} \cdot 100\\& = \frac{61}{124} \cdot 100\\& = \frac{1525}{31}\end{aligned}\]

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