40.4 / 31.3

asked by guest
on Nov 20, 2024 at 8:25 am



You asked:

Evaluate the expression: \(\frac{40.4}{31.3}\)

MathBot Answer:

\[\frac{40.4}{31.3} = \frac{404}{313} \approx 1.2907348242811501597444089456869\]

\[\begin{aligned}\frac{40.4}{31.3}& = \left(40 + \frac{4}{10}\right) \cdot \frac{1}{31 + \frac{3}{10}}\\& = \left(40 + \frac{2}{5}\right) \cdot \frac{1}{31 + \frac{3}{10}}\\& = \frac{202}{5} \cdot \frac{1}{31 + \frac{3}{10}}\\& = \frac{202}{5} \cdot \frac{1}{\frac{313}{10}}\\& = \frac{404}{313}\end{aligned}\]

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