2/5*-3/7-1/14-3/7*3/5

asked by guest
on Sep 20, 2024 at 10:27 am



You asked:

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

MathBot Answer:

\[\frac{\frac{2}{5} \cdot -3}{7} - \frac{1}{14} - \frac{\frac{3}{7} \cdot 3}{5} = - \frac{1}{2} = -0.5\]

\[\begin{aligned}\frac{\frac{2}{5} \cdot -3}{7} - \frac{1}{14} - \frac{\frac{3}{7} \cdot 3}{5}& = \frac{2}{5} \cdot \frac{-3}{7} - \frac{1}{14} - \frac{3}{7} \cdot \frac{3}{5}\\& = \frac{2}{5} \cdot - \frac{3}{7} - \frac{1}{14} - \frac{3}{7} \cdot \frac{3}{5}\\& = - \frac{6}{35} - \frac{1}{14} - \frac{3}{7} \cdot \frac{3}{5}\\& = - \frac{6}{35} - \frac{1}{14} - \frac{9}{35}\\& = - \frac{17}{70} - \frac{9}{35}\\& = - \frac{1}{2}\end{aligned}\]

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