2.5+3.8/0.02

asked by guest
on Sep 24, 2024 at 1:29 am



You asked:

Evaluate the expression: \(2.5 + \frac{3.8}{0.02}\)

MathBot Answer:

\[2.5 + \frac{3.8}{0.02} = \frac{385}{2} = 192.5\]

\[\begin{aligned}2.5 + \frac{3.8}{0.02}& = 2 + \frac{5}{10} + \left(3 + \frac{8}{10}\right) \cdot \frac{1}{\frac{2}{100}}\\& = 2 + \frac{1}{2} + \left(3 + \frac{8}{10}\right) \cdot \frac{1}{\frac{2}{100}}\\& = 2 + \frac{1}{2} + \left(3 + \frac{4}{5}\right) \cdot \frac{1}{\frac{2}{100}}\\& = 2 + \frac{1}{2} + \frac{19}{5} \cdot \frac{1}{\frac{2}{100}}\\& = 2 + \frac{1}{2} + \frac{19}{5} \cdot \frac{1}{\frac{1}{50}}\\& = 2 + \frac{1}{2} + 190\\& = \frac{5}{2} + 190\\& = \frac{385}{2}\end{aligned}\]

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