31+(180/2-46)*10/52

asked by guest
on Nov 24, 2024 at 5:28 am



You asked:

Evaluate the expression: \(31 + \frac{\left(\frac{180}{2} - 46\right) \cdot 10}{52}\)

MathBot Answer:

\[31 + \frac{\left(\frac{180}{2} - 46\right) \cdot 10}{52} = \frac{513}{13} = 39.\overline{461538}\]

\[\begin{aligned}31 + \frac{\left(\frac{180}{2} - 46\right) \cdot 10}{52}& = 31 + \left(\frac{180}{2} - 46\right) \cdot \frac{10}{52}\\& = 31 + 44 \cdot \frac{10}{52}\\& = 31 + 44 \cdot \frac{5}{26}\\& = 31 + \frac{110}{13}\\& = \frac{513}{13}\end{aligned}\]

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