3.14/54.389

asked by guest
on Oct 21, 2024 at 11:39 pm



You asked:

Evaluate the expression: \(\frac{3.14}{54.389}\)

MathBot Answer:

\[\frac{3.14}{54.389} = \frac{3140}{54389} \approx 0.05773226203827979922410781591866\]

\[\begin{aligned}\frac{3.14}{54.389}& = \left(3 + \frac{14}{100}\right) \cdot \frac{1}{54 + \frac{389}{1000}}\\& = \left(3 + \frac{7}{50}\right) \cdot \frac{1}{54 + \frac{389}{1000}}\\& = \frac{157}{50} \cdot \frac{1}{54 + \frac{389}{1000}}\\& = \frac{157}{50} \cdot \frac{1}{\frac{54389}{1000}}\\& = \frac{3140}{54389}\end{aligned}\]

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