9/14+5/7+11/21
You asked:
Evaluate the expression: \(\frac{9}{14} + \frac{5}{7} + \frac{11}{21}\)
MathBot Answer:
\[ \frac{9}{14} + \frac{5}{7} + \frac{11}{21} = \frac{79}{42} = 1.8\overline{809523} \]
The sum can be computed by rewriting each term over a common denominator, where the least common denominator of \(\frac{9}{14}\), \(\frac{5}{7}\), and \(\frac{11}{21}\) is \(42\). \[ \begin{aligned} \frac{9}{14} + \frac{5}{7} + \frac{11}{21} &= \frac{9 \cdot 3}{14 \cdot 3} + \frac{5 \cdot 6}{7 \cdot 6} + \frac{11 \cdot 2}{21 \cdot 2} \\ &= \frac{27 + 30 + 22}{42} \\ &= \frac{79}{42} \end{aligned} \]