80/(12(4)+(4)4+(12)4)

asked by themanprahaas
on Nov 17, 2024 at 11:32 pm



You asked:

Evaluate the expression: \(\frac{80}{12 \cdot 4 + 4 \cdot 4 + 12 \cdot 4}\)

MathBot Answer:

\[\frac{80}{12 \cdot 4 + 4 \cdot 4 + 12 \cdot 4} = \frac{5}{7} = 0.\overline{714285}\]

\[\begin{aligned}\frac{80}{12 \cdot 4 + 4 \cdot 4 + 12 \cdot 4}& = 80 \cdot \frac{1}{12 \cdot 4 + 4 \cdot 4 + 12 \cdot 4}\\& = 80 \cdot \frac{1}{48 + 4 \cdot 4 + 12 \cdot 4}\\& = 80 \cdot \frac{1}{48 + 16 + 12 \cdot 4}\\& = 80 \cdot \frac{1}{48 + 16 + 48}\\& = 80 \cdot \frac{1}{64 + 48}\\& = \frac{80}{112}\\& = \frac{5}{7}\end{aligned}\]

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