Answer:
yes, 28/33
Explanation:
For any pair of real numbers, there are an infinite number of numbers between them.
These two numbers can be written with the common denominator 66 as ...
10/11 = 60/66
5/6 = 55/66
Numbers between these that have that same denominator are ...
{56/66, 57/66, 58/66, 59/66}
Of course, there is no requirement that the number be rational, or that it have this denominator. Other numbers between your pair include ...
{56/67, 59/65, √(25/33), π/3.6}