2/3 + 1/7

asked by guest
on Nov 18, 2024 at 4:43 am



You asked:

Evaluate the expression: \(\frac{2}{3} + \frac{1}{7}\)

MathBot Answer:

\[ \frac{2}{3} + \frac{1}{7} = \frac{17}{21} = 0.\overline{809523} \]

The sum can be computed by rewriting each term over a common denominator, where the least common denominator of \(\frac{2}{3}\) and \(\frac{1}{7}\) is \(21\). \[ \begin{aligned} \frac{2}{3} + \frac{1}{7} &= \frac{2 \cdot 7}{3 \cdot 7} + \frac{1 \cdot 3}{7 \cdot 3} \\ &= \frac{14 + 3}{21} \\ &= \frac{17}{21} \end{aligned} \]


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