8-8*( (11/5)-(9/7))/(2-(1/(6-1/6)))

asked by guest
on Apr 06, 2025 at 9:13 am



You asked:

Evaluate the expression: 8−8(115−97)2−16−168 - \frac{8 \left(\frac{11}{5} - \frac{9}{7}\right)}{2 - \frac{1}{6 - \frac{1}{6}}}

MathBot Answer:

8−8(115−97)2−16−16=48 - \frac{8 \left(\frac{11}{5} - \frac{9}{7}\right)}{2 - \frac{1}{6 - \frac{1}{6}}} = 4

8−8(115−97)2−16−16=8−8⋅32352−16−16=8−256352−16−16=8−256352−1356=8−256352−635=8−256356435=8−4=4\begin{aligned}8 - \frac{8 \left(\frac{11}{5} - \frac{9}{7}\right)}{2 - \frac{1}{6 - \frac{1}{6}}}&=8 - \frac{8 \cdot \frac{32}{35}}{2 - \frac{1}{6 - \frac{1}{6}}}\\&=8 - \frac{\frac{256}{35}}{2 - \frac{1}{6 - \frac{1}{6}}}\\&=8 - \frac{\frac{256}{35}}{2 - \frac{1}{\frac{35}{6}}}\\&=8 - \frac{\frac{256}{35}}{2 - \frac{6}{35}}\\&=8 - \frac{\frac{256}{35}}{\frac{64}{35}}\\&=8 - 4\\&=4\end{aligned}

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