9.11/3.65

asked by guest
on Jan 24, 2025 at 5:25 pm



You asked:

Evaluate the expression: \(\frac{9.11}{3.65}\)

MathBot Answer:

\[\frac{9.11}{3.65} = \frac{911}{365} = 2.4\overline{95890410}\]

\[\begin{aligned}\frac{9.11}{3.65}& = \left(9 + \frac{11}{100}\right) \cdot \frac{1}{3 + \frac{65}{100}}\\& = \frac{911}{100} \cdot \frac{1}{3 + \frac{65}{100}}\\& = \frac{911}{100} \cdot \frac{1}{3 + \frac{13}{20}}\\& = \frac{911}{100} \cdot \frac{1}{\frac{73}{20}}\\& = \frac{911}{365}\end{aligned}\]

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