Answer :
you would change the denominators to the least common multiple, in this case, 12. then you would change the fractions to 8/12, 14/12, and 7/12. you would add those, and get 29/12. divide 29 by 12, and get 2. add the rest to get 2 5/12.
[tex] \frac{2}{3}+1 \frac{1}{6}+ \frac{7}{12} \\ \\ \frac{2}{3}+ 1 \frac{1}{6}= \frac{2}{3}+ \frac{1*6+1}{6}= \frac{7}{6}+ \frac{2}{3}= \frac{2*2}{3*2}= \frac{4}{6}+ \frac{7}{6}= \frac{11}{6}=1 \frac{5}{6} \\ \\ \frac{7}{12}+1 \frac{5}{6}= \frac{11*2}{6*2}= \frac{22}{12} + \frac{7}{12} = \frac{29}{12}=2 \frac{5}{12} [/tex]
