(9/16*4/12)+(9/16*-3/9)
You asked:
Evaluate the expression: \(\frac{\frac{9}{16} \cdot 4}{12} + \frac{\frac{9}{16} \cdot -3}{9}\)
MathBot Answer:
\[\frac{\frac{9}{16} \cdot 4}{12} + \frac{\frac{9}{16} \cdot -3}{9} = 0\]
\[\begin{aligned}\frac{\frac{9}{16} \cdot 4}{12} + \frac{\frac{9}{16} \cdot -3}{9}& = \frac{9}{16} \cdot \frac{4}{12} + \frac{9}{16} \cdot \frac{-3}{9}\\& = \frac{9}{16} \cdot \frac{1}{3} + \frac{9}{16} \cdot \frac{-3}{9}\\& = \frac{3}{16} + \frac{9}{16} \cdot \frac{-3}{9}\\& = \frac{3}{16} + \frac{9}{16} \cdot - \frac{1}{3}\\& = \frac{3}{16} - \frac{3}{16}\\& = 0\end{aligned}\]