256/(-15-1)-(-6*15+13*3)/3

asked by guest
on Nov 19, 2024 at 3:05 pm



You asked:

Evaluate the expression: \(\frac{256}{-15 - 1} - \frac{-6 \cdot 15 + 13 \cdot 3}{3}\)

MathBot Answer:

\[\frac{256}{-15 - 1} - \frac{-6 \cdot 15 + 13 \cdot 3}{3} = 1\]

\[\begin{aligned}\frac{256}{-15 - 1} - \frac{-6 \cdot 15 + 13 \cdot 3}{3}& = 256 \cdot \frac{1}{-15 - 1} - \left(-6 \cdot 15 + 13 \cdot 3\right) \cdot \frac{1}{3}\\& = \frac{256}{-16} - \left(-6 \cdot 15 + 13 \cdot 3\right) \cdot \frac{1}{3}\\& = -16 - \left(-6 \cdot 15 + 13 \cdot 3\right) \cdot \frac{1}{3}\\& = -16 - \left(-90 + 13 \cdot 3\right) \cdot \frac{1}{3}\\& = -16 - \left(-90 + 39\right) \cdot \frac{1}{3}\\& = -16 - \frac{-51}{3}\\& = -16 - -17\\& = -16 + 17\\& = 1\end{aligned}\]

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