240 over 360 * 2 * 22 over 7 * 35

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



You asked:

Evaluate the expression: 240360⋅2⋅227⋅35\frac{\frac{240}{360 \cdot 2 \cdot 22}}{7 \cdot 35}

MathBot Answer:

240360⋅2⋅227⋅35=116170=0.0000618429189857761286332714904143475572047‾\frac{\frac{240}{360 \cdot 2 \cdot 22}}{7 \cdot 35} = \frac{1}{16170} = 0.0\overline{000618429189857761286332714904143475572047}

240360⋅2⋅227⋅35=240720⋅227⋅35=240158407⋅35=1667⋅35=166245=116170\begin{aligned}\frac{\frac{240}{360 \cdot 2 \cdot 22}}{7 \cdot 35}&=\frac{\frac{240}{720 \cdot 22}}{7 \cdot 35}\\&=\frac{\frac{240}{15840}}{7 \cdot 35}\\&=\frac{\frac{1}{66}}{7 \cdot 35}\\&=\frac{\frac{1}{66}}{245}\\&=\frac{1}{16170}\end{aligned}

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