Change the fractions so that the denominators are the same. This requires you to find the least common multiple of 2 and 6:
Multiples of 2: {2,4,6}
Multiples of 6: {6}
The least common multiple is 6. Convert the fraction with 2 as a denominator by multiplying it by the multiple that makes it 6:
[tex]6 / 2 = 3[/tex]
[tex] \frac{1}{2} * \frac{3}{3} = \frac{3}{6} [/tex]
[tex]6 \frac{1}{2} = 6 \frac{3}{6} [/tex]
Add 7 5/6 to both sides, and simplify the results.
[tex]6 \frac{3}{6} + 7 \frac{5}{6} = 13 \frac{8}{6} = 14 \frac{2}{6} = 14 \frac{1}{3} [/tex]
The answer is 14 1/3.
