5/6+3/5+1/3=

asked by guest
on Nov 15, 2024 at 5:50 am



You asked:

Evaluate the expression: \(\frac{5}{6} + \frac{3}{5} + \frac{1}{3}\)

MathBot Answer:

\[ \frac{5}{6} + \frac{3}{5} + \frac{1}{3} = \frac{53}{30} = 1.7\overline{6} \]


The sum can be computed by rewriting each term over a common denominator, where the least common denominator of \(\frac{5}{6}\), \(\frac{3}{5}\), and \(\frac{1}{3}\) is \(30\). \[ \begin{aligned} \frac{5}{6} + \frac{3}{5} + \frac{1}{3} &= \frac{5 \cdot 5}{6 \cdot 5} + \frac{3 \cdot 6}{5 \cdot 6} + \frac{1 \cdot 10}{3 \cdot 10} \\ &= \frac{25 + 18 + 10}{30} \\ &= \frac{53}{30} \end{aligned} \]