9.32256/1.86

asked by guest
on Nov 14, 2024 at 1:52 am



You asked:

Evaluate the expression: \(\frac{9.32256}{1.86}\)

MathBot Answer:

\[\frac{9.32256}{1.86} = \frac{19422}{3875} = 5.012\overline{129032258064516}\]

\[\begin{aligned}\frac{9.32256}{1.86}& = \left(9 + \frac{32256}{100000}\right) \cdot \frac{1}{1 + \frac{86}{100}}\\& = \left(9 + \frac{1008}{3125}\right) \cdot \frac{1}{1 + \frac{86}{100}}\\& = \frac{29133}{3125} \cdot \frac{1}{1 + \frac{86}{100}}\\& = \frac{29133}{3125} \cdot \frac{1}{1 + \frac{43}{50}}\\& = \frac{29133}{3125} \cdot \frac{1}{\frac{93}{50}}\\& = \frac{19422}{3875}\end{aligned}\]

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