5/6+7/12:7/2

To add the fractions 5/6 and 7/12 and then divide the result by 7/2, we need to follow these steps:

1. Find a common denominator for 6 and 12, which is 12.
2. Convert the fractions to have the same denominator:
   • 5/6 = 10/12
   • 7/12 = 7/12
3. Add the fractions: 10/12 + 7/12 = 17/12
4. Divide the result by 7/2:
   • (17/12) ÷ (7/2) = (17/12) * (2/7) = 34/84 = 17/42

Therefore, 5/6 + 7/12 ÷ 7/2 = 17/42.