6*(11/13)+ 18/(5)(7)+12*(9)(9)

asked by guest
on Oct 25, 2024 at 1:24 pm



You asked:

Evaluate the expression: \(6 \cdot \frac{11}{13} + \frac{18}{5 \cdot 7} + 12 \cdot 9 \cdot 9\)

MathBot Answer:

\[6 \cdot \frac{11}{13} + \frac{18}{5 \cdot 7} + 12 \cdot 9 \cdot 9 = \frac{444804}{455} = 977.5\overline{912087}\]

\[\begin{aligned}6 \cdot \frac{11}{13} + \frac{18}{5 \cdot 7} + 12 \cdot 9 \cdot 9& = 6 \cdot \frac{11}{13} + 18 \cdot \frac{1}{5 \cdot 7} + 12 \cdot 9 \cdot 9\\& = \frac{66}{13} + 18 \cdot \frac{1}{5 \cdot 7} + 12 \cdot 9 \cdot 9\\& = \frac{66}{13} + \frac{18}{35} + 12 \cdot 9 \cdot 9\\& = \frac{66}{13} + \frac{18}{35} + 108 \cdot 9\\& = \frac{66}{13} + \frac{18}{35} + 972\\& = \frac{2544}{455} + 972\\& = \frac{444804}{455}\end{aligned}\]

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