Questions: Perform the indicated operation and simplify your answer. 2/7 + (-1/3) + (-1/6)

Solution Steps

The denominators are \(7\), \(3\), and \(6\). The LCD of these numbers is \(42\).

\[ \frac{2}{7} = \frac{2 \times 6}{7 \times 6} = \frac{12}{42} \] \[ -\frac{1}{3} = -\frac{1 \times 14}{3 \times 14} = -\frac{14}{42} \] \[ -\frac{1}{6} = -\frac{1 \times 7}{6 \times 7} = -\frac{7}{42} \]

\[ \frac{12}{42} + \left(-\frac{14}{42}\right) + \left(-\frac{7}{42}\right) = \frac{12 - 14 - 7}{42} = \frac{-9}{42} \]

\[ \frac{-9}{42} = \frac{-3}{14} \]

Final Answer