4/(20+16)/2/100

asked by guest
on Jan 11, 2025 at 8:59 am



You asked:

Evaluate the expression: \(\frac{\frac{\frac{4}{20 + 16}}{2}}{100}\)

MathBot Answer:

\[\frac{\frac{\frac{4}{20 + 16}}{2}}{100} = \frac{1}{1800} = 0.000\overline{5}\]

\[\begin{aligned}\frac{\frac{\frac{4}{20 + 16}}{2}}{100}& = 4 \cdot \frac{1}{20 + 16} \cdot \frac{1}{2} \cdot \frac{1}{100}\\& = \frac{4}{36} \cdot \frac{1}{2} \cdot \frac{1}{100}\\& = \frac{4}{36} \cdot \frac{1}{200}\\& = \frac{1}{9} \cdot \frac{1}{200}\\& = \frac{1}{1800}\end{aligned}\]

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