Evaluate −2(4 − 7 × 3) − 18 ÷ 3(7 − 2)

asked by guest
on Nov 17, 2024 at 3:38 am



You asked:

Evaluate the expression: \(-\left( 2 \cdot \left(4 - 7 \cdot 3\right) \right) - \frac{18}{3 \cdot \left(7 - 2\right)}\)

MathBot Answer:

\[-\left( 2 \cdot \left(4 - 7 \cdot 3\right) \right) - \frac{18}{3 \cdot \left(7 - 2\right)} = \frac{164}{5} = 32.8\]

\[\begin{aligned}-\left( 2 \cdot \left(4 - 7 \cdot 3\right) \right) - \frac{18}{3 \cdot \left(7 - 2\right)}& = - 2 \cdot \left(4 - 7 \cdot 3\right) - 18 \cdot \frac{1}{3 \cdot \left(7 - 2\right)}\\& = - 2 \cdot \left(4 - 21\right) - 18 \cdot \frac{1}{3 \cdot \left(7 - 2\right)}\\& = - 2 \cdot -17 - 18 \cdot \frac{1}{3 \cdot \left(7 - 2\right)}\\& = - -34 - 18 \cdot \frac{1}{3 \cdot \left(7 - 2\right)}\\& = 34 - 18 \cdot \frac{1}{3 \cdot \left(7 - 2\right)}\\& = 34 - 18 \cdot \frac{1}{3 \cdot 5}\\& = 34 - \frac{18}{15}\\& = 34 - \frac{6}{5}\\& = \frac{164}{5}\end{aligned}\]

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