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Fractions

Write a complete fraction class here. It must be named Fraction and must have the following properties:

  • four basic mathematical operators defined (+, -, *, /);

  • elegant conversion to string in the form '3/2';

  • simplification and clean-up on construction:

    • both attribute divided by the greatest common divisor,
    • denumerator not zero (ValueError should be raised in such case),
    • sign in the numerator (i.e. denumerator is always positive),
    • both attributes must be integers (TypeError if not) — you may use Python function type or isinstance for this check;

  • method decimal returning the decimal value of the fraction (the numerator divided by the denumerator).