25÷100×42.5÷100
You asked:
Evaluate the expression: \(\frac{\frac{25}{100} \cdot 42.5}{100}\)
MathBot Answer:
\[\frac{\frac{25}{100} \cdot 42.5}{100} = \frac{17}{160} = 0.10625\]
\[\begin{aligned}\frac{\frac{25}{100} \cdot 42.5}{100}& = \frac{25}{100} \cdot \left(42 + \frac{5}{10}\right) \cdot \frac{1}{100}\\& = \frac{25}{100} \cdot \left(42 + \frac{1}{2}\right) \cdot \frac{1}{100}\\& = \frac{25}{100} \cdot \frac{85}{2} \cdot \frac{1}{100}\\& = \frac{25}{100} \cdot \frac{17}{40}\\& = \frac{17}{160}\end{aligned}\]