((-2/3)*(3/5))+(5/2)-((3/2)*(1/6))
You asked:
Evaluate the expression: \(\frac{-2}{3} \cdot \frac{3}{5} + \frac{5}{2} - \frac{3}{2} \cdot \frac{1}{6}\)
MathBot Answer:
\[\frac{-2}{3} \cdot \frac{3}{5} + \frac{5}{2} - \frac{3}{2} \cdot \frac{1}{6} = \frac{37}{20} = 1.85\]
\[\begin{aligned}\frac{-2}{3} \cdot \frac{3}{5} + \frac{5}{2} - \frac{3}{2} \cdot \frac{1}{6}& = - \frac{2}{3} \cdot \frac{3}{5} + \frac{5}{2} - \frac{3}{2} \cdot \frac{1}{6}\\& = - \frac{2}{5} + \frac{5}{2} - \frac{3}{2} \cdot \frac{1}{6}\\& = - \frac{2}{5} + \frac{5}{2} - \frac{1}{4}\\& = \frac{21}{10} - \frac{1}{4}\\& = \frac{37}{20}\end{aligned}\]