-8/9/(1 2/3)-15.3 + 1.85

asked by guest
on Oct 04, 2024 at 11:52 pm



You asked:

Evaluate the expression: \(\frac{\frac{-8}{9}}{1\frac{2}{3}} - 15.3 + 1.85\)

MathBot Answer:

\[\frac{\frac{-8}{9}}{1\frac{2}{3}} - 15.3 + 1.85 = - \frac{839}{60} = -13.98\overline{3}\]

\[\begin{aligned}\frac{\frac{-8}{9}}{1\frac{2}{3}} - 15.3 + 1.85& = - \frac{8}{9} \cdot \frac{1}{1\frac{2}{3}} - \left(15 + \frac{3}{10}\right) + 1 + \frac{85}{100}\\& = - \frac{8}{15} - \left(15 + \frac{3}{10}\right) + 1 + \frac{85}{100}\\& = - \frac{8}{15} - \frac{153}{10} + 1 + \frac{85}{100}\\& = - \frac{8}{15} - \frac{153}{10} + 1 + \frac{17}{20}\\& = - \frac{95}{6} + 1 + \frac{17}{20}\\& = - \frac{89}{6} + \frac{17}{20}\\& = - \frac{839}{60}\end{aligned}\]

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