55.32 * 164.368

asked by guest
on Nov 27, 2024 at 12:44 am



You asked:

Evaluate the expression: \(55.32 \cdot 164.368\)

MathBot Answer:

\[55.32 \cdot 164.368 = \frac{28415118}{3125} = 9092.83776\]

\[\begin{aligned}55.32 \cdot 164.368& = \left(55 + \frac{32}{100}\right) \cdot \left(164 + \frac{368}{1000}\right)\\& = \left(55 + \frac{8}{25}\right) \cdot \left(164 + \frac{368}{1000}\right)\\& = \frac{1383}{25} \cdot \left(164 + \frac{368}{1000}\right)\\& = \frac{1383}{25} \cdot \left(164 + \frac{46}{125}\right)\\& = \frac{1383}{25} \cdot \frac{20546}{125}\\& = \frac{28415118}{3125}\end{aligned}\]

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