19-[12+{12*3/(21-9)}/5]

asked by guest
on Nov 26, 2024 at 3:50 am



You asked:

Evaluate the expression: \(19 - \left(12 + \frac{\frac{12 \cdot 3}{21 - 9}}{5}\right)\)

MathBot Answer:

\[19 - \left(12 + \frac{\frac{12 \cdot 3}{21 - 9}}{5}\right) = \frac{32}{5} = 6.4\]

\[\begin{aligned}19 - \left(12 + \frac{\frac{12 \cdot 3}{21 - 9}}{5}\right)& = 19 - \left(12 + 12 \cdot 3 \cdot \frac{1}{21 - 9} \cdot \frac{1}{5}\right)\\& = 19 - \left(12 + 12 \cdot \frac{3}{12} \cdot \frac{1}{5}\right)\\& = 19 - \left(12 + 12 \cdot \frac{3}{60}\right)\\& = 19 - \left(12 + \frac{36}{60}\right)\\& = 19 - \left(12 + \frac{3}{5}\right)\\& = 19 - \frac{63}{5}\\& = \frac{32}{5}\end{aligned}\]

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