1/3 +1/4 + 1/5
You asked:
Evaluate the expression: \(\frac{1}{3} + \frac{1}{4} + \frac{1}{5}\)
MathBot Answer:
\[ \frac{1}{3} + \frac{1}{4} + \frac{1}{5} = \frac{47}{60} = 0.78\overline{3} \]
The sum can be computed by rewriting each term over a common denominator, where the least common denominator of \(\frac{1}{3}\), \(\frac{1}{4}\), and \(\frac{1}{5}\) is \(60\). \[ \begin{aligned} \frac{1}{3} + \frac{1}{4} + \frac{1}{5} &= \frac{1 \cdot 20}{3 \cdot 20} + \frac{1 \cdot 15}{4 \cdot 15} + \frac{1 \cdot 12}{5 \cdot 12} \\ &= \frac{20 + 15 + 12}{60} \\ &= \frac{47}{60} \end{aligned} \]