-2/3(4/5+-8/15)=(-2/3*4/5)+(-2/3*-8/15)
You asked:
Investigate the equation: \(\frac{-2}{3 \cdot \left(\frac{4}{5} + \frac{-8}{15}\right)} = \frac{\frac{-2}{3} \cdot 4}{5} + \frac{\frac{-2}{3} \cdot -8}{15}\).
MathBot Answer:
This equation has no unknown quantities, so it is either true or false.
This equation is false because the left-hand side is not equal to the right-hand side.
The left-hand side of the equation is:
\[\frac{-2}{3 \cdot \left(\frac{4}{5} + \frac{-8}{15}\right)} = - \frac{5}{2}\]The right-hand side of the equation is:
\[\frac{\frac{-2}{3} \cdot 4}{5} + \frac{\frac{-2}{3} \cdot -8}{15} = - \frac{8}{45}\]