(3/5+5/6)-2/6
You asked:
Evaluate the expression: \(\frac{3}{5} + \frac{5}{6} - \frac{2}{6}\)
MathBot Answer:
\[ \frac{3}{5} + \frac{5}{6} - \frac{2}{6} = \frac{11}{10} = 1.1 \]
The sum can be computed by rewriting each term over a common denominator, where the least common denominator of \(\frac{3}{5}\), \(\frac{5}{6}\), and \(\frac{-2}{6}\) is \(30\). \[ \begin{aligned} \frac{3}{5} + \frac{5}{6} - \frac{2}{6} &= \frac{3 \cdot 6}{5 \cdot 6} + \frac{5 \cdot 5}{6 \cdot 5} + \frac{-2 \cdot 5}{6 \cdot 5} \\ &= \frac{18 + 25 + -10}{30} \\ &= \frac{33}{30} \\&= \frac{11}{10} \end{aligned} \]