5/6.2/3

asked by guest
on Jan 12, 2025 at 10:48 am



You asked:

Evaluate the expression: \(\frac{\frac{5}{6.2}}{3}\)

MathBot Answer:

\[\frac{\frac{5}{6.2}}{3} = \frac{25}{93} = 0.\overline{268817204301075}\]

\[\begin{aligned}\frac{\frac{5}{6.2}}{3}& = 5 \cdot \frac{1}{6 + \frac{2}{10}} \cdot \frac{1}{3}\\& = 5 \cdot \frac{1}{6 + \frac{1}{5}} \cdot \frac{1}{3}\\& = 5 \cdot \frac{1}{\frac{31}{5}} \cdot \frac{1}{3}\\& = 5 \cdot \frac{5}{31} \cdot \frac{1}{3}\\& = 5 \cdot \frac{5}{93}\\& = \frac{25}{93}\end{aligned}\]

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