10/31 / 10/31+40/9

asked by guest
on Nov 24, 2024 at 9:36 pm



You asked:

Evaluate the expression: \(\frac{\frac{\frac{10}{31}}{10}}{31} + \frac{40}{9}\)

MathBot Answer:

\[\frac{\frac{\frac{10}{31}}{10}}{31} + \frac{40}{9} = \frac{38449}{8649} \approx 4.44548502717077118742051104173893\]

\[\begin{aligned}\frac{\frac{\frac{10}{31}}{10}}{31} + \frac{40}{9}& = \frac{10}{31} \cdot \frac{1}{10} \cdot \frac{1}{31} + \frac{40}{9}\\& = \frac{10}{31} \cdot \frac{1}{310} + \frac{40}{9}\\& = \frac{1}{961} + \frac{40}{9}\\& = \frac{38449}{8649}\end{aligned}\]

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