12.4/14.33

asked by guest
on Oct 21, 2024 at 11:38 pm



You asked:

Evaluate the expression: \(\frac{12.4}{14.33}\)

MathBot Answer:

\[\frac{12.4}{14.33} = \frac{1240}{1433} \approx 0.86531751570132588974180041870202\]

\[\begin{aligned}\frac{12.4}{14.33}& = \left(12 + \frac{4}{10}\right) \cdot \frac{1}{14 + \frac{33}{100}}\\& = \left(12 + \frac{2}{5}\right) \cdot \frac{1}{14 + \frac{33}{100}}\\& = \frac{62}{5} \cdot \frac{1}{14 + \frac{33}{100}}\\& = \frac{62}{5} \cdot \frac{1}{\frac{1433}{100}}\\& = \frac{1240}{1433}\end{aligned}\]

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