5*2-(84/6(12-5))/2

asked by guest
on Nov 26, 2024 at 3:38 am



You asked:

Evaluate the expression: \(5 \cdot 2 - \frac{\frac{84}{6 \cdot \left(12 - 5\right)}}{2}\)

MathBot Answer:

\[5 \cdot 2 - \frac{\frac{84}{6 \cdot \left(12 - 5\right)}}{2} = 9\]

\[\begin{aligned}5 \cdot 2 - \frac{\frac{84}{6 \cdot \left(12 - 5\right)}}{2}& = 5 \cdot 2 - 84 \cdot \frac{1}{6 \cdot \left(12 - 5\right)} \cdot \frac{1}{2}\\& = 10 - 84 \cdot \frac{1}{6 \cdot \left(12 - 5\right)} \cdot \frac{1}{2}\\& = 10 - 84 \cdot \frac{1}{6 \cdot 7} \cdot \frac{1}{2}\\& = 10 - \frac{84}{42} \cdot \frac{1}{2}\\& = 10 - \frac{84}{84}\\& = 10 - 1\\& = 9\end{aligned}\]

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