3.5/70 รท 7/10

asked by guest
on Jan 14, 2025 at 3:40 pm



You asked:

Evaluate the expression: \(\frac{\frac{\frac{3.5}{70}}{7}}{10}\)

MathBot Answer:

\[\frac{\frac{\frac{3.5}{70}}{7}}{10} = \frac{1}{1400} = 0.000\overline{714285}\]

\[\begin{aligned}\frac{\frac{\frac{3.5}{70}}{7}}{10}& = \left(3 + \frac{5}{10}\right) \cdot \frac{1}{70} \cdot \frac{1}{7} \cdot \frac{1}{10}\\& = \left(3 + \frac{1}{2}\right) \cdot \frac{1}{70} \cdot \frac{1}{7} \cdot \frac{1}{10}\\& = \frac{7}{2} \cdot \frac{1}{70} \cdot \frac{1}{7} \cdot \frac{1}{10}\\& = \frac{7}{2} \cdot \frac{1}{70} \cdot \frac{1}{70}\\& = \frac{1}{20} \cdot \frac{1}{70}\\& = \frac{1}{1400}\end{aligned}\]

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