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Object Oriented Programming Assignment

Use the skeleton to implement a Fraction class (in the file fraction.py) containing two integers: numerator and denominator. The file test_fraction.py can be edited and used to test the created class.

  1. Add a member function to give a print representation for the class, e.g., print(Fraction(1, 2)) should yield in something like: 1/2.

  2. Add a member function to add to fractions, e.g., print(Fraction(1, 2) + Fraction(2, 3)) should yield 7/6. Remember: the return type should be chosen correctly, e.g., the addition of two fractions results in a new fraction, not a string representation of the result!

  3. Add a member function to invert a fraction, e.g., print(Fraction(1, 2).invert()) should yield 2/1.

  4. Add a member function to give a decimal representation of a fraction, e.g., print(Fraction(1, 2).to_float()) should yield 0.5.

  5. Add a member function that returns the integer part of a fraction, e.g., Fracion(7, 6).integer() should yield 1.

  6. Add member functions to subtract, multiply and divide fractions. Hint: can we reuse any of the member functions?

  7. Add a member function to simplify a fraction, e.g., print(Fraction(2, 6).simplify()) should yield 1/3. Hint: use a function to calculate the greatest common divisor.

  8. Can we improve our arithmetic functions with our newly created simplification method?

  9. Add some comparison operators, e.g., == and <.

  10. How would you deal with negative fractions?

  11. Can you add integer multiplication functionality, e.g., print(Fraction(1, 2) * 2) should yield 2/2. What about commutativity?

  12. How can we prevent things like: Fraction(0.4, 0.2)?