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C++ A rational number is of the form a/b , where a and b are integers, and b is not equal 0. Develop and test

C++ A rational number is of the form a/b, where a and b are integers, and b is not equal 0. Develop and test a class for processing rational numbers.

Details:

  1. Your program should have 3 files: a driver file to test the operations, a header file for the class definition and any operator overloads you need, and an implementation file with the definitions of the items in the header file.

  1. The class should read and display all rational numbers in the form a/b,
  2. The operations that should be implemented for the rational numbers are
    1. except when b is 1, then it should just display a
  3. or when b is 0, then it should display #div0

  4. Operator

    Example

    Result

    Addition

    3/9 + 1/7

    10/21

    Subtraction

    3/9*1/7

    4/21

    Multiplication

    3/8 * 1/6

    1/16

    Division

    3/8 / 1/6

    9/4

    Invert

    2/4 I

    4/2

    Mixed fraction

    8/3 M

    2 and 2/3

    Reduce

    18/24 R

    3/4

    Less than

    1/6 < 3/8

    True

    Less than or equal to

    1/6 <= 3/8

    True

    Greater Than

    1/6 > 3/8

    False

    Greater than or equal

    1/6 >= 3/8

    False

    Equal to

    3/8 == 9/24

    True

  5. The arithmetic operators must be overloaded to work with the class
  6. The class must have
    1. At least 2 private member variables, numerator and denominator
    2. At least 4 public member functions
      1. getNu(), getDe(), setNu(value), setDe(value)

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