Question

add. write your answer as a mixed number in simplest form.

\\2\frac{1}{2} + 7\frac{1}{6}\\

Explanation:

Find a common denominator

$$ \text{LCD}(2, 6) = 6 $$

$$ \frac{1}{2} = \frac{1 \times 3}{2 \times 3} = \frac{3}{6} $$

Add the fractional parts

$$ \frac{3}{6} + \frac{1}{6} = \frac{4}{6} = \frac{2}{3} $$

Add the whole numbers

$$ 2 + 7 = 9 $$

$$ 2\frac{1}{2} + 7\frac{1}{6} = 9\frac{2}{3} $$

Answer:

Add. Write your answer as a mixed number in simplest form.

\(2\frac{1}{2} + 7\frac{1}{6} =\) <blank>\(9\frac{2}{3}\)</blank>