(1.6)(273.16)

asked by guest
on Dec 31, 2024 at 9:21 pm



You asked:

Evaluate the expression: \(1.6 \cdot 273.16\)

MathBot Answer:

\[1.6 \cdot 273.16 = \frac{54632}{125} = 437.056\]

\[\begin{aligned}1.6 \cdot 273.16& = \left(1 + \frac{6}{10}\right) \cdot \left(273 + \frac{16}{100}\right)\\& = \left(1 + \frac{3}{5}\right) \cdot \left(273 + \frac{16}{100}\right)\\& = \frac{8}{5} \cdot \left(273 + \frac{16}{100}\right)\\& = \frac{8}{5} \cdot \left(273 + \frac{4}{25}\right)\\& = \frac{8}{5} \cdot \frac{6829}{25}\\& = \frac{54632}{125}\end{aligned}\]

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