-3/10+7/15-3/-20*-9/10+13/15*-20/13

asked by guest
on Apr 06, 2025 at 10:26 pm



You asked:

Evaluate the expression: −310+715−3−20⋅−910+1315⋅−2013\frac{-3}{10} + \frac{7}{15} - \frac{\frac{3}{-20} \cdot -9}{10} + \frac{\frac{13}{15} \cdot -20}{13}

MathBot Answer:

−310+715−3−20⋅−910+1315⋅−2013=−781600=−1.3016‾\frac{-3}{10} + \frac{7}{15} - \frac{\frac{3}{-20} \cdot -9}{10} + \frac{\frac{13}{15} \cdot -20}{13} = - \frac{781}{600} = -1.301\overline{6}

−310+715−3−20⋅−910+1315⋅−2013=16−3−20⋅−910+1315⋅−2013=16−−320⋅−910+1315⋅−2013=16−272010+1315⋅−2013=16−27200+1315⋅−2013=19600+1315⋅−2013=19600+−52313=19600+−43=−781600\begin{aligned}\frac{-3}{10} + \frac{7}{15} - \frac{\frac{3}{-20} \cdot -9}{10} + \frac{\frac{13}{15} \cdot -20}{13}&=\frac{1}{6} - \frac{\frac{3}{-20} \cdot -9}{10} + \frac{\frac{13}{15} \cdot -20}{13}\\&=\frac{1}{6} - \frac{\frac{-3}{20} \cdot -9}{10} + \frac{\frac{13}{15} \cdot -20}{13}\\&=\frac{1}{6} - \frac{\frac{27}{20}}{10} + \frac{\frac{13}{15} \cdot -20}{13}\\&=\frac{1}{6} - \frac{27}{200} + \frac{\frac{13}{15} \cdot -20}{13}\\&=\frac{19}{600} + \frac{\frac{13}{15} \cdot -20}{13}\\&=\frac{19}{600} + \frac{\frac{-52}{3}}{13}\\&=\frac{19}{600} + \frac{-4}{3}\\&=\frac{-781}{600}\end{aligned}

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