51.5/48.5*3

asked by guest
on Jan 23, 2025 at 7:21 am



You asked:

Evaluate the expression: \(\frac{51.5}{48.5} \cdot 3\)

MathBot Answer:

\[\frac{51.5}{48.5} \cdot 3 = \frac{309}{97} = 3.\overline{185567010309278350515463917525773195876288659793814432989690721649484536082474226804123711340206}\]

\[\begin{aligned}\frac{51.5}{48.5} \cdot 3& = \left(51 + \frac{5}{10}\right) \cdot \frac{1}{48 + \frac{5}{10}} \cdot 3\\& = \left(51 + \frac{1}{2}\right) \cdot \frac{1}{48 + \frac{5}{10}} \cdot 3\\& = \frac{103}{2} \cdot \frac{1}{48 + \frac{5}{10}} \cdot 3\\& = \frac{103}{2} \cdot \frac{1}{48 + \frac{1}{2}} \cdot 3\\& = \frac{103}{2} \cdot \frac{1}{\frac{97}{2}} \cdot 3\\& = \frac{103}{2} \cdot \frac{2}{97} \cdot 3\\& = \frac{103}{97} \cdot 3\\& = \frac{309}{97}\end{aligned}\]

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