((3*15+19)/8-6)/(27/3*2-16)
You asked:
Evaluate the expression: \(\frac{\frac{3 \cdot 15 + 19}{8} - 6}{\frac{27}{3} \cdot 2 - 16}\)
MathBot Answer:
\[\frac{\frac{3 \cdot 15 + 19}{8} - 6}{\frac{27}{3} \cdot 2 - 16} = 1\]
\[\begin{aligned}\frac{\frac{3 \cdot 15 + 19}{8} - 6}{\frac{27}{3} \cdot 2 - 16}& = \left(\left(3 \cdot 15 + 19\right) \cdot \frac{1}{8} - 6\right) \cdot \frac{1}{\frac{27}{3} \cdot 2 - 16}\\& = \left(\left(45 + 19\right) \cdot \frac{1}{8} - 6\right) \cdot \frac{1}{\frac{27}{3} \cdot 2 - 16}\\& = \left(\frac{64}{8} - 6\right) \cdot \frac{1}{\frac{27}{3} \cdot 2 - 16}\\& = \left(8 - 6\right) \cdot \frac{1}{\frac{27}{3} \cdot 2 - 16}\\& = 2 \cdot \frac{1}{\frac{27}{3} \cdot 2 - 16}\\& = 2 \cdot \frac{1}{18 - 16}\\& = \frac{2}{2}\\& = 1\end{aligned}\]