-8/9/(-1 2/3)-15.3 + 1.85
You asked:
Evaluate the expression: \(\frac{\frac{-8}{9}}{-1\frac{2}{3}} - 15.3 + 1.85\)
MathBot Answer:
\[\frac{\frac{-8}{9}}{-1\frac{2}{3}} - 15.3 + 1.85 = - \frac{155}{12} = -12.91\overline{6}\]
\[\begin{aligned}\frac{\frac{-8}{9}}{-1\frac{2}{3}} - 15.3 + 1.85& = - \frac{8}{9} \cdot \frac{1}{- \frac{5}{3}} - \left(15 + \frac{3}{10}\right) + 1 + \frac{85}{100}\\& = \frac{8}{15} - \left(15 + \frac{3}{10}\right) + 1 + \frac{85}{100}\\& = \frac{8}{15} - \frac{153}{10} + 1 + \frac{85}{100}\\& = \frac{8}{15} - \frac{153}{10} + 1 + \frac{17}{20}\\& = - \frac{443}{30} + 1 + \frac{17}{20}\\& = - \frac{413}{30} + \frac{17}{20}\\& = - \frac{155}{12}\end{aligned}\]