2/5 × -50/27 -5/8 × -5027
You asked:
Evaluate the expression: \(\frac{\frac{2}{5} \cdot -50}{27} - \frac{5}{8} \cdot -5027\)
MathBot Answer:
\[\frac{\frac{2}{5} \cdot -50}{27} - \frac{5}{8} \cdot -5027 = \frac{678485}{216} = 3141.134\overline{259}\]
\[\begin{aligned}\frac{\frac{2}{5} \cdot -50}{27} - \frac{5}{8} \cdot -5027& = \frac{2}{5} \cdot \frac{-50}{27} - \frac{5}{8} \cdot -5027\\& = \frac{2}{5} \cdot - \frac{50}{27} - \frac{5}{8} \cdot -5027\\& = - \frac{20}{27} - \frac{5}{8} \cdot -5027\\& = - \frac{20}{27} - - \frac{25135}{8}\\& = - \frac{20}{27} + \frac{25135}{8}\\& = \frac{678485}{216}\end{aligned}\]