0.0281544932/(0.04822516359 + 0.0281544932 + 0.02664781635)

asked by guest
on Nov 26, 2024 at 3:32 am



You asked:

Evaluate the expression: \(\frac{0.0281544932}{0.04822516359 + 0.0281544932 + 0.02664781635}\)

MathBot Answer:

\[\frac{0.0281544932}{0.04822516359 + 0.0281544932 + 0.02664781635} = \frac{1407724660}{5151373657} \approx 0.27327170454565998492079488459441\]

\[\begin{aligned}\frac{0.0281544932}{0.04822516359 + 0.0281544932 + 0.02664781635}& = \frac{281544932}{10000000000} \cdot \frac{1}{\frac{4822516359}{100000000000} + \frac{281544932}{10000000000} + \frac{2664781635}{100000000000}}\\& = \frac{281544932}{10000000000} \cdot \frac{1}{\frac{4822516359}{100000000000} + \frac{70386233}{2500000000} + \frac{2664781635}{100000000000}}\\& = \frac{281544932}{10000000000} \cdot \frac{1}{\frac{4822516359}{100000000000} + \frac{70386233}{2500000000} + \frac{532956327}{20000000000}}\\& = \frac{281544932}{10000000000} \cdot \frac{1}{\frac{7637965679}{100000000000} + \frac{532956327}{20000000000}}\\& = \frac{281544932}{10000000000} \cdot \frac{1}{\frac{5151373657}{50000000000}}\\& = 281544932 \cdot \frac{5}{5151373657}\\& = \frac{1407724660}{5151373657}\end{aligned}\]

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