20÷100÷62.5×100

asked by guest
on Jan 23, 2025 at 5:59 pm



You asked:

Evaluate the expression: \(\frac{\frac{20}{100}}{62.5} \cdot 100\)

MathBot Answer:

\[\frac{\frac{20}{100}}{62.5} \cdot 100 = \frac{8}{25} = 0.32\]

\[\begin{aligned}\frac{\frac{20}{100}}{62.5} \cdot 100& = \frac{20}{100} \cdot \frac{1}{62 + \frac{5}{10}} \cdot 100\\& = \frac{20}{100} \cdot \frac{1}{62 + \frac{1}{2}} \cdot 100\\& = \frac{20}{100} \cdot \frac{1}{\frac{125}{2}} \cdot 100\\& = \frac{20}{100} \cdot \frac{2}{125} \cdot 100\\& = \frac{2}{625} \cdot 100\\& = \frac{8}{25}\end{aligned}\]

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