Question

1. \\(5 \frac{5}{6} + 2 \frac{2}{3} =\\)

Explanation:

Convert mixed numbers to improper fractions

$$ 5\frac{5}{6} = \frac{5 \times 6 + 5}{6} = \frac{35}{6} $$

$$ 2\frac{2}{3} = \frac{2 \times 3 + 2}{3} = \frac{8}{3} = \frac{16}{6} $$

Add the fractions

$$ \frac{35}{6} + \frac{16}{6} = \frac{51}{6} $$

Simplify the resulting fraction

$$ \frac{51}{6} = \frac{17}{2} = 8\frac{1}{2} $$

Answer:

\(5\frac{5}{6} + 2\frac{2}{3} =\) <blank>\(8\frac{1}{2}\)</blank>