Question

evaluate.
\\(\frac{2}{3} + \frac{5}{6} \cdot \frac{1}{2}\\)
write your answer in simplest form.

Explanation:

Step1: Multiply the fractions first

$\frac{5}{6} \cdot \frac{1}{2} = \frac{5 \cdot 1}{6 \cdot 2} = \frac{5}{12}$

Step2: Add the remaining fraction

Find a common denominator for $\frac{2}{3}$ and $\frac{5}{12}$. The common denominator is 12, so rewrite $\frac{2}{3}$ as $\frac{8}{12}$.
$\frac{8}{12} + \frac{5}{12} = \frac{8+5}{12} = \frac{13}{12}$

Answer:

$\frac{13}{12}$