3000+[65-16/(130-16-11)]500
You asked:
Evaluate the expression: \(3000 + \left(65 - \frac{16}{130 - 16 - 11}\right) \cdot 500\)
MathBot Answer:
\[3000 + \left(65 - \frac{16}{130 - 16 - 11}\right) \cdot 500 = \frac{3648500}{103} = 35422.\overline{3300970873786407766990291262135922}\]
\[\begin{aligned}3000 + \left(65 - \frac{16}{130 - 16 - 11}\right) \cdot 500& = 3000 + \left(65 - 16 \cdot \frac{1}{130 - 16 - 11}\right) \cdot 500\\& = 3000 + \left(65 - 16 \cdot \frac{1}{114 - 11}\right) \cdot 500\\& = 3000 + \left(65 - \frac{16}{103}\right) \cdot 500\\& = 3000 + \frac{6679}{103} \cdot 500\\& = 3000 + \frac{3339500}{103}\\& = \frac{3648500}{103}\end{aligned}\]