(3 + 8) + (5 + 9) ÷ (10 – 9) (-8 + 4) -1.5

asked by guest
on Dec 27, 2024 at 5:03 am



You asked:

Evaluate the expression: \(3 + 8 + \frac{5 + 9}{\left(10 - 9\right) \left(-8 + 4\right)} - 1.5\)

MathBot Answer:

\[3 + 8 + \frac{5 + 9}{\left(10 - 9\right) \left(-8 + 4\right)} - 1.5 = 6\]

\[\begin{aligned}3 + 8 + \frac{5 + 9}{\left(10 - 9\right) \left(-8 + 4\right)} - 1.5& = 3 + 8 + \left(5 + 9\right) \cdot \frac{1}{\left(10 - 9\right) \cdot \left(-8 + 4\right)} - \left(1 + \frac{5}{10}\right)\\& = 3 + 8 + 14 \cdot \frac{1}{\left(10 - 9\right) \cdot \left(-8 + 4\right)} - \left(1 + \frac{5}{10}\right)\\& = 3 + 8 + 14 \cdot \frac{1}{1 \cdot \left(-8 + 4\right)} - \left(1 + \frac{5}{10}\right)\\& = 3 + 8 + 14 \cdot \frac{1}{1 \cdot -4} - \left(1 + \frac{5}{10}\right)\\& = 3 + 8 + \frac{14}{-4} - \left(1 + \frac{5}{10}\right)\\& = 3 + 8 - \frac{7}{2} - \left(1 + \frac{5}{10}\right)\\& = 3 + 8 - \frac{7}{2} - \left(1 + \frac{1}{2}\right)\\& = 3 + 8 - \frac{7}{2} - \frac{3}{2}\\& = 11 - \frac{7}{2} - \frac{3}{2}\\& = \frac{15}{2} - \frac{3}{2}\\& = 6\end{aligned}\]

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