Question

1. \\(7 \frac{6}{7} + \frac{14}{21} = \underline{\quad\quad}\\)

Explanation:

Simplify the second fraction

$$ \frac{14}{21} = \frac{14 \div 7}{21 \div 7} = \frac{2}{3} $$

Find a common denominator

$$ \text{LCD}(7, 3) = 21 $$

$$ \frac{6}{7} = \frac{6 \times 3}{7 \times 3} = \frac{18}{21} $$

$$ \frac{2}{3} = \frac{2 \times 7}{3 \times 7} = \frac{14}{21} $$

Add the fractions and simplify

$$ 7\frac{18}{21} + \frac{14}{21} = 7\frac{32}{21} = 7 + 1\frac{11}{21} = 8\frac{11}{21} $$

Answer:

\(7 \frac{6}{7} + \frac{14}{21} =\) <blank>\(8\frac{11}{21}\)</blank>