\(\frac{5}{7}+\left(\frac{-11}{14}\right)\ \)
You asked:
Evaluate the expression: \(\frac{5}{7} + \frac{-11}{14}\)
MathBot Answer:
\[ \frac{5}{7} + \frac{-11}{14} = - \frac{1}{14} = -0.0\overline{714285} \]
The sum can be computed by rewriting each term over a common denominator, where the least common denominator of \(\frac{5}{7}\) and \(\frac{-11}{14}\) is \(14\). \[ \begin{aligned} \frac{5}{7} + \frac{-11}{14} &= \frac{5 \cdot 2}{7 \cdot 2} + \frac{-11 \cdot 1}{14 \cdot 1} \\ &= \frac{10 + -11}{14} \\ &= \frac{-1}{14} \end{aligned} \]