4[6+8{3×6÷2(113+228)}]

asked by guest
on Oct 23, 2024 at 12:26 pm



You asked:

Evaluate the expression: \(4 \cdot \left(6 + 8 \cdot \frac{3 \cdot 6}{2 \cdot \left(113 + 228\right)}\right)\)

MathBot Answer:

\[4 \cdot \left(6 + 8 \cdot \frac{3 \cdot 6}{2 \cdot \left(113 + 228\right)}\right) = \frac{8472}{341} = 24.\overline{844574780058651026392961876832}\]

\[\begin{aligned}4 \cdot \left(6 + 8 \cdot \frac{3 \cdot 6}{2 \cdot \left(113 + 228\right)}\right)& = 4 \cdot \left(6 + 8 \cdot 3 \cdot 6 \cdot \frac{1}{2 \cdot \left(113 + 228\right)}\right)\\& = 4 \cdot \left(6 + 8 \cdot 3 \cdot 6 \cdot \frac{1}{2 \cdot 341}\right)\\& = 4 \cdot \left(6 + 8 \cdot 3 \cdot \frac{6}{682}\right)\\& = 4 \cdot \left(6 + 8 \cdot 3 \cdot \frac{3}{341}\right)\\& = 4 \cdot \left(6 + 24 \cdot \frac{3}{341}\right)\\& = 4 \cdot \left(6 + \frac{72}{341}\right)\\& = 4 \cdot \frac{2118}{341}\\& = \frac{8472}{341}\end{aligned}\]

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