Public Methods getDenominator - This is a "getter" method used to retrieve the denominator. method receives no parameters and returns an integer. This getNumerator- This is a "getter" method used to retrieve the numerator. This method receives no parameters and returms an integer. add - This method should receive a single rational number as a parameter. It should add the parameter to the current (this) object and return the answer as a new rational number object. Neither the current object, nor the parameter should be changed by this method. For example, suppose x is the rational number "34", and y is the rational number "S/6", and z is a rational mumber. The command z x.add (y) should return the - rational number "38/24" and store it in z. x should not be changed by this method, and y should not be changed by this method Refer to the formulas listed below to find out how to add two rational numbers. sub - This method should receive a single rational number as a parameter. It should subtract the parameter from the current (this) object and return the answer as a new rational number object. Neither the current object, nor the parameter should be changed by this method. For example, suppose x is the rational number "34", and y is the rational mumber "S/6", and z is a rational number. The command z - y.sub (x) should return the rational number "2/24" and store it in z x should not be changed by this method, and y should not be changed by this method mul - This method should receive a single rational number as a parameter. It should multiply the current (this) object by the parameter and return the answer as a new rational number object. Neither the current object, nor the parameter should be changed by this method. div - This method should receive a single rational number as a parameter. It should divide the current (this) object by the parameter and return the answer as a new rational number object. Neither the current object, nor the parameter should be changed by this method. neg - This method will take no parameters. It should negate the current (tkhis) object and return the answer as a new rational number object. The current object should not be changed by this method. For example, suppose x is the rational number "34", and z is a rational number. The command z - x.neg () should return the rational number "-34" and store it in z Formulas Use the following formulas for the computations performed by the methods. In cach of these formulas "A" is a numerator, and "B" is a denominator for one of the rational mumbers, "C is the numerator and "D" is the denominator for the second rational number. Also remember that since these are rational numbers, the division is not actually performed. Therefore, in the formulas, wherever you see a "division symbol", you don't actually perform the division the "division symbol" is used in rational numbers to separate the numerator from the denominator. The only exception is on the left-side of the equals sign in the division formula where there is a division symbol used to indicate that we are trying to divide two rational numbers. Addition: (A/B) + (C/D) - (AD + B*C)/ (B*D) Subtraction: (A/B) - (C/D) - (A*D - B*C) / (B*D) Multiplication: (A/B). (C/D) - (A*C) / (B*D) Division: (A/B)/ (C/D)- (A D) / (B C) Negation: - (A/B) - ((-A) /B) Public Methods getDenominator - This is a "getter" method used to retrieve the denominator. method receives no parameters and returns an integer. This getNumerator- This is a "getter" method used to retrieve the numerator. This method receives no parameters and returms an integer. add - This method should receive a single rational number as a parameter. It should add the parameter to the current (this) object and return the answer as a new rational number object. Neither the current object, nor the parameter should be changed by this method. For example, suppose x is the rational number "34", and y is the rational number "S/6", and z is a rational mumber. The command z x.add (y) should return the - rational number "38/24" and store it in z. x should not be changed by this method, and y should not be changed by this method Refer to the formulas listed below to find out how to add two rational numbers. sub - This method should receive a single rational number as a parameter. It should subtract the parameter from the current (this) object and return the answer as a new rational number object. Neither the current object, nor the parameter should be changed by this method. For example, suppose x is the rational number "34", and y is the rational mumber "S/6", and z is a rational number. The command z - y.sub (x) should return the rational number "2/24" and store it in z x should not be changed by this method, and y should not be changed by this method mul - This method should receive a single rational number as a parameter. It should multiply the current (this) object by the parameter and return the answer as a new rational number object. Neither the current object, nor the parameter should be changed by this method. div - This method should receive a single rational number as a parameter. It should divide the current (this) object by the parameter and return the answer as a new rational number object. Neither the current object, nor the parameter should be changed by this method. neg - This method will take no parameters. It should negate the current (tkhis) object and return the answer as a new rational number object. The current object should not be changed by this method. For example, suppose x is the rational number "34", and z is a rational number. The command z - x.neg () should return the rational number "-34" and store it in z Formulas Use the following formulas for the computations performed by the methods. In cach of these formulas "A" is a numerator, and "B" is a denominator for one of the rational mumbers, "C is the numerator and "D" is the denominator for the second rational number. Also remember that since these are rational numbers, the division is not actually performed. Therefore, in the formulas, wherever you see a "division symbol", you don't actually perform the division the "division symbol" is used in rational numbers to separate the numerator from the denominator. The only exception is on the left-side of the equals sign in the division formula where there is a division symbol used to indicate that we are trying to divide two rational numbers. Addition: (A/B) + (C/D) - (AD + B*C)/ (B*D) Subtraction: (A/B) - (C/D) - (A*D - B*C) / (B*D) Multiplication: (A/B). (C/D) - (A*C) / (B*D) Division: (A/B)/ (C/D)- (A D) / (B C) Negation: - (A/B) - ((-A) /B)
