Meiting has 3 times as many sweets as gloria and twice as many sweets as diana. What is the ratio of the number of sweets gloria has to the total number of sweets?

Let's say Gloria has x sweets.

Therefore, Meiting has 3x sweets.
And Diana has (1/2)x sweets.
The total number of sweets is x + 3x + (1/2)x = (7/2)x.
So, the ratio of the number of sweets Gloria has to the total number of sweets is x/((7/2)x), which simplifies to 2/7. Answer: \boxed{\frac{2}{7}}.