Is there a number between 10/11 and 5/6?

If so, find one, if not, explain

yes, 28/33

Step-by-step 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}