Question

14\frac{1}{6} + 3\frac{2}{3}

Explanation:

Step1: Convert mixed numbers to improper fractions

$14\frac{1}{6} = \frac{14\times6 + 1}{6} = \frac{85}{6}$
$3\frac{2}{3} = \frac{3\times3 + 2}{3} = \frac{11}{3}$

Step2: Find common denominator

Rewrite $\frac{11}{3}$ with denominator 6: $\frac{11\times2}{3\times2} = \frac{22}{6}$

Step3: Add the fractions

$\frac{85}{6} + \frac{22}{6} = \frac{85+22}{6} = \frac{107}{6}$

Step4: Convert back to mixed number

$\frac{107}{6} = 17\frac{5}{6}$

Answer:

$17\frac{5}{6}$