((3*15+19)/8-6)/(27/3*2-16)

asked by guest
on Oct 28, 2024 at 12:20 am



You asked:

Evaluate the expression: \(\frac{\frac{3 \cdot 15 + 19}{8} - 6}{\frac{27}{3} \cdot 2 - 16}\)

MathBot Answer:

\[\frac{\frac{3 \cdot 15 + 19}{8} - 6}{\frac{27}{3} \cdot 2 - 16} = 1\]

\[\begin{aligned}\frac{\frac{3 \cdot 15 + 19}{8} - 6}{\frac{27}{3} \cdot 2 - 16}& = \left(\left(3 \cdot 15 + 19\right) \cdot \frac{1}{8} - 6\right) \cdot \frac{1}{\frac{27}{3} \cdot 2 - 16}\\& = \left(\left(45 + 19\right) \cdot \frac{1}{8} - 6\right) \cdot \frac{1}{\frac{27}{3} \cdot 2 - 16}\\& = \left(\frac{64}{8} - 6\right) \cdot \frac{1}{\frac{27}{3} \cdot 2 - 16}\\& = \left(8 - 6\right) \cdot \frac{1}{\frac{27}{3} \cdot 2 - 16}\\& = 2 \cdot \frac{1}{\frac{27}{3} \cdot 2 - 16}\\& = 2 \cdot \frac{1}{18 - 16}\\& = \frac{2}{2}\\& = 1\end{aligned}\]

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