0.04822516359/(0.02391860165 + 0.01989656509 + 0.04822516359)

asked by guest
on Nov 26, 2024 at 3:23 am



You asked:

Evaluate the expression: \(\frac{0.04822516359}{0.02391860165 + 0.01989656509 + 0.04822516359}\)

MathBot Answer:

\[\frac{0.04822516359}{0.02391860165 + 0.01989656509 + 0.04822516359} = \frac{535835151}{1022670337} \approx 0.52395687213522846121232516006769\]

\[\begin{aligned}\frac{0.04822516359}{0.02391860165 + 0.01989656509 + 0.04822516359}& = \frac{4822516359}{100000000000} \cdot \frac{1}{\frac{2391860165}{100000000000} + \frac{1989656509}{100000000000} + \frac{4822516359}{100000000000}}\\& = \frac{4822516359}{100000000000} \cdot \frac{1}{\frac{478372033}{20000000000} + \frac{1989656509}{100000000000} + \frac{4822516359}{100000000000}}\\& = \frac{4822516359}{100000000000} \cdot \frac{1}{\frac{2190758337}{50000000000} + \frac{4822516359}{100000000000}}\\& = \frac{4822516359}{100000000000} \cdot \frac{1}{\frac{9204033033}{100000000000}}\\& = \frac{4822516359}{9204033033}\\& = \frac{535835151}{1022670337}\end{aligned}\]

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