Question

1st picture = question 2nd picture (multiple choice) = answers

Answer 1

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:

$6 / 2 = 3$

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

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

Add 7 5/6 to both sides, and simplify the results.

$6 \frac{3}{6} + 7 \frac{5}{6} = 13 \frac{8}{6} = 14 \frac{2}{6} = 14 \frac{1}{3}$

The answer is 14 1/3.