(2/5)*(-3/7)-((1/6)*(3/2))+((1/14)*(2/5))

asked by guest
on Oct 05, 2024 at 10:32 am



You asked:

Evaluate the expression: \(\frac{2}{5} \cdot \frac{-3}{7} - \frac{1}{6} \cdot \frac{3}{2} + \frac{1}{14} \cdot \frac{2}{5}\)

MathBot Answer:

\[\frac{2}{5} \cdot \frac{-3}{7} - \frac{1}{6} \cdot \frac{3}{2} + \frac{1}{14} \cdot \frac{2}{5} = - \frac{11}{28} = -0.39\overline{285714}\]

\[\begin{aligned}\frac{2}{5} \cdot \frac{-3}{7} - \frac{1}{6} \cdot \frac{3}{2} + \frac{1}{14} \cdot \frac{2}{5}& = \frac{2}{5} \cdot - \frac{3}{7} - \frac{1}{6} \cdot \frac{3}{2} + \frac{1}{14} \cdot \frac{2}{5}\\& = - \frac{6}{35} - \frac{1}{6} \cdot \frac{3}{2} + \frac{1}{14} \cdot \frac{2}{5}\\& = - \frac{6}{35} - \frac{1}{4} + \frac{1}{14} \cdot \frac{2}{5}\\& = - \frac{6}{35} - \frac{1}{4} + \frac{1}{35}\\& = - \frac{59}{140} + \frac{1}{35}\\& = - \frac{11}{28}\end{aligned}\]

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