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