Answer:
5/4 cup of sugar.
Explanation:
The recipe calls for 5/6 of a cup of sugar, so if you're making 1.5 times what the recipe calls for, you multiply 5/6 by 3/2 (or 1.5 if you prefer decimals) which would give you 15/12. Then simplify down to get 5/4 (or 1.25) cups of sugar.
Note: 5/4 also equals 1 1/4, they are both correct, it just depends on which way you choose to write it, or how your teacher wants you to write it.