(36/6)/4-(12*3/2*9)/2^2
You asked:
Evaluate the expression: \(\frac{\frac{36}{6}}{4} - \frac{\frac{12 \cdot 3}{2} \cdot 9}{{2}^{2}}\)
MathBot Answer:
\[\frac{\frac{36}{6}}{4} - \frac{\frac{12 \cdot 3}{2} \cdot 9}{{2}^{2}} = -39\]
\[\begin{aligned}\frac{\frac{36}{6}}{4} - \frac{\frac{12 \cdot 3}{2} \cdot 9}{{2}^{2}}& = \frac{36}{6} \cdot \frac{1}{4} - 12 \cdot \frac{3}{2} \cdot 9 \cdot \frac{1}{2^{2}}\\& = \frac{9}{6} - 12 \cdot \frac{3}{2} \cdot 9 \cdot \frac{1}{2^{2}}\\& = \frac{9}{6} - 12 \cdot \frac{3}{2} \cdot \frac{9}{4}\\& = \frac{9}{6} - \frac{36}{2} \cdot \frac{9}{4}\\& = \frac{9}{6} - 18 \cdot \frac{9}{4}\\& = \frac{9}{6} - \frac{81}{2}\\& = -39\end{aligned}\]