14/3.13/6

asked by guest
on Nov 18, 2024 at 12:30 pm



You asked:

Evaluate the expression: \(\frac{\frac{14}{3.13}}{6}\)

MathBot Answer:

\[\frac{\frac{14}{3.13}}{6} = \frac{700}{939} \approx 0.74547390841320553780617678381257\]

\[\begin{aligned}\frac{\frac{14}{3.13}}{6}& = 14 \cdot \frac{1}{3 + \frac{13}{100}} \cdot \frac{1}{6}\\& = 14 \cdot \frac{1}{\frac{313}{100}} \cdot \frac{1}{6}\\& = 14 \cdot \frac{100}{313} \cdot \frac{1}{6}\\& = 14 \cdot \frac{50}{939}\\& = \frac{700}{939}\end{aligned}\]

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