96/2(12(4)+(4)4+(12)4)

asked by themanprahaas
on Nov 17, 2024 at 11:29 pm



You asked:

Evaluate the expression: \(\frac{96}{2 \cdot \left(12 \cdot 4 + 4 \cdot 4 + 12 \cdot 4\right)}\)

MathBot Answer:

\[\frac{96}{2 \cdot \left(12 \cdot 4 + 4 \cdot 4 + 12 \cdot 4\right)} = \frac{3}{7} = 0.\overline{428571}\]

\[\begin{aligned}\frac{96}{2 \cdot \left(12 \cdot 4 + 4 \cdot 4 + 12 \cdot 4\right)}& = 96 \cdot \frac{1}{2 \cdot \left(12 \cdot 4 + 4 \cdot 4 + 12 \cdot 4\right)}\\& = 96 \cdot \frac{1}{2 \cdot \left(48 + 4 \cdot 4 + 12 \cdot 4\right)}\\& = 96 \cdot \frac{1}{2 \cdot \left(48 + 16 + 12 \cdot 4\right)}\\& = 96 \cdot \frac{1}{2 \cdot \left(48 + 16 + 48\right)}\\& = 96 \cdot \frac{1}{2 \cdot \left(64 + 48\right)}\\& = 96 \cdot \frac{1}{2 \cdot 112}\\& = \frac{96}{224}\\& = \frac{3}{7}\end{aligned}\]

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