0.0001/0.01+0.2/0.005+0.09/0.1

asked by guest
on Nov 25, 2024 at 3:48 am



You asked:

Evaluate the expression: \(\frac{0.0001}{0.01} + \frac{0.2}{0.005} + \frac{0.09}{0.1}\)

MathBot Answer:

\[\frac{0.0001}{0.01} + \frac{0.2}{0.005} + \frac{0.09}{0.1} = \frac{4091}{100} = 40.91\]

\[\begin{aligned}\frac{0.0001}{0.01} + \frac{0.2}{0.005} + \frac{0.09}{0.1}& = \frac{1}{10000} \cdot \frac{1}{\frac{1}{100}} + \frac{2}{10} \cdot \frac{1}{\frac{5}{1000}} + \frac{9}{100} \cdot \frac{1}{\frac{1}{10}}\\& = \frac{1}{100} + \frac{2}{10} \cdot \frac{1}{\frac{5}{1000}} + \frac{9}{100} \cdot \frac{1}{\frac{1}{10}}\\& = \frac{1}{100} + \frac{2}{10} \cdot \frac{1}{\frac{1}{200}} + \frac{9}{100} \cdot \frac{1}{\frac{1}{10}}\\& = \frac{1}{100} + 2 \cdot 20 + \frac{9}{100} \cdot \frac{1}{\frac{1}{10}}\\& = \frac{1}{100} + 40 + \frac{9}{100} \cdot \frac{1}{\frac{1}{10}}\\& = \frac{1}{100} + 40 + \frac{9}{10}\\& = \frac{4001}{100} + \frac{9}{10}\\& = \frac{4091}{100}\end{aligned}\]

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