240 over 360 * 2 * 22 over 7 * 35

asked by guest
on Jan 16, 2025 at 12:07 pm



You asked:

Evaluate the expression: \(\frac{\frac{240}{360 \cdot 2 \cdot 22}}{7 \cdot 35}\)

MathBot Answer:

\[\frac{\frac{240}{360 \cdot 2 \cdot 22}}{7 \cdot 35} = \frac{1}{16170} = 0.0\overline{000618429189857761286332714904143475572047}\]

\[\begin{aligned}\frac{\frac{240}{360 \cdot 2 \cdot 22}}{7 \cdot 35}& = 240 \cdot \frac{1}{360 \cdot 2 \cdot 22} \cdot \frac{1}{7 \cdot 35}\\& = 240 \cdot \frac{1}{720 \cdot 22} \cdot \frac{1}{7 \cdot 35}\\& = \frac{240}{15840} \cdot \frac{1}{7 \cdot 35}\\& = \frac{240}{15840} \cdot \frac{1}{245}\\& = \frac{240}{3880800}\\& = \frac{1}{16170}\end{aligned}\]

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