8 × 3 + [63 ÷ {18 ÷ 3(9 − 17 + 5 × 2)}]

asked by guest
on Nov 13, 2024 at 8:50 pm



You asked:

Evaluate the expression: \(8 \cdot 3 + \frac{63}{\frac{18}{3 \cdot \left(9 - 17 + 5 \cdot 2\right)}}\)

MathBot Answer:

\[8 \cdot 3 + \frac{63}{\frac{18}{3 \cdot \left(9 - 17 + 5 \cdot 2\right)}} = 45\]

\[\begin{aligned}8 \cdot 3 + \frac{63}{\frac{18}{3 \cdot \left(9 - 17 + 5 \cdot 2\right)}}& = 8 \cdot 3 + 63 \cdot \frac{1}{18 \cdot \frac{1}{3 \cdot \left(9 - 17 + 5 \cdot 2\right)}}\\& = 24 + 63 \cdot \frac{1}{18 \cdot \frac{1}{3 \cdot \left(9 - 17 + 5 \cdot 2\right)}}\\& = 24 + 63 \cdot \frac{1}{18 \cdot \frac{1}{3 \cdot \left(9 - 17 + 10\right)}}\\& = 24 + 63 \cdot \frac{1}{18 \cdot \frac{1}{3 \cdot \left(-8 + 10\right)}}\\& = 24 + 63 \cdot \frac{1}{18 \cdot \frac{1}{3 \cdot 2}}\\& = 24 + 63 \cdot \frac{1}{\frac{18}{6}}\\& = 24 + \frac{63}{3}\\& = 24 + 21\\& = 45\end{aligned}\]

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