2/3 × 3/5 + 5/2 -3/5 × 1/6
You asked:
Evaluate the expression: \(\frac{\frac{2}{3} \cdot 3}{5} + \frac{5}{2} - \frac{\frac{3}{5} \cdot 1}{6}\)
MathBot Answer:
\[\frac{\frac{2}{3} \cdot 3}{5} + \frac{5}{2} - \frac{\frac{3}{5} \cdot 1}{6} = \frac{14}{5} = 2.8\]
\[\begin{aligned}\frac{\frac{2}{3} \cdot 3}{5} + \frac{5}{2} - \frac{\frac{3}{5} \cdot 1}{6}& = \frac{2}{3} \cdot \frac{3}{5} + \frac{5}{2} - \frac{3}{5} \cdot \frac{1}{6}\\& = \frac{2}{5} + \frac{5}{2} - \frac{3}{5} \cdot \frac{1}{6}\\& = \frac{2}{5} + \frac{5}{2} - \frac{1}{10}\\& = \frac{29}{10} - \frac{1}{10}\\& = \frac{14}{5}\end{aligned}\]