Simplify: (6/-7×-2/9)+(11/-7×-1/-3)-(16/7÷9/-21)​

asked by guest
on Feb 13, 2025 at 7:48 pm



You asked:

Simplify the expression: \(\frac{\frac{6}{-7} \cdot -2}{9} + \frac{\frac{11}{-7} \cdot -1}{-3} - \frac{\frac{\frac{16}{7}}{9}}{-21}\)

MathBot Answer:

Simplified:

\[ \frac{\frac{6}{-7} \cdot -2}{9} + \frac{\frac{11}{-7} \cdot -1}{-3} - \frac{\frac{\frac{16}{7}}{9}}{-21} = - \frac{425}{1323} = -0.\overline{321239606953892668178382464096749811035525} \]

\[\begin{aligned}\frac{\left(-2\right) 6}{\left(-7\right) 9} + -\frac{11}{\left(-7\right) \left(-3\right)} - \frac{16}{\left(-21\right) 7 \cdot 9}&=\frac{\frac{268}{147}}{9} -\frac{11}{\left(-7\right) \left(-3\right)}\\&=\frac{-\frac{11}{7}}{3} + \frac{\frac{268}{147}}{9}\\&=\frac{-\frac{11}{7}}{3} + \frac{268}{1323}\\&=- \frac{11}{21} + \frac{268}{1323}\\&=- \frac{425}{1323}\end{aligned}\]


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