Question

1. \\(8 \frac{1}{2} + \frac{5}{14} =\\)

Explanation:

Find a common denominator

$$ \text{LCD}(2, 14) = 14 $$

$$ 8\frac{1}{2} = 8\frac{1 \times 7}{2 \times 7} = 8\frac{7}{14} $$

Add the fractions

$$ 8\frac{7}{14} + \frac{5}{14} = 8\frac{7 + 5}{14} = 8\frac{12}{14} $$

Simplify the mixed number

$$ \frac{12}{14} = \frac{12 \div 2}{14 \div 2} = \frac{6}{7} $$

$$ 8\frac{12}{14} = 8\frac{6}{7} $$

Answer:

\(8\frac{1}{2} + \frac{5}{14} =\) <blank>\(8\frac{6}{7}\)</blank>