What does abstract data type means?

• Abstract data types or ADTs are a mathematical specification of a set of data and the set of operations that can be performed on the data. They are abstract in the sense that the focus is on the definitions of the constructor that returns an abstract handle that represents the data, and the various operations with their arguments. The actual implementation is not defined, and does not affect the use of the ADT.
  For example, rational numbers (numbers that can be written in the form a/b where a and b are integers) cannot be represented natively in a computer. A Rational ADT could be defined as shown below.
  Construction: Create an instance of a rational number ADT using two integers, a and b, where a represents the numerator and b represents the denominator.
  Operations: addition, subtraction, multiplication, division, exponentiation, comparison, simplify, conversion to a real (floating point) number.
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