1/6+2/7

asked by guest
on Jan 09, 2025 at 1:27 pm



You asked:

Evaluate the expression: \(\frac{1}{6} + \frac{2}{7}\)

MathBot Answer:

\[ \frac{1}{6} + \frac{2}{7} = \frac{19}{42} = 0.4\overline{523809} \]


The sum can be computed by rewriting each term over a common denominator, where the least common denominator of \(\frac{1}{6}\) and \(\frac{2}{7}\) is \(42\). \[ \begin{aligned} \frac{1}{6} + \frac{2}{7} &= \frac{1 \cdot 7}{6 \cdot 7} + \frac{2 \cdot 6}{7 \cdot 6} \\ &= \frac{7 + 12}{42} \\ &= \frac{19}{42} \end{aligned} \]