2. Rational Numbers (15 points) In mathematics, a rational number is any number that can be...

 
 
 

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2. Rational Numbers (15 points) In mathematics, a rational number is any number that can be expressed as the quotient or fraction p/q of two integers, a numerator p and a non-zero denominator q. Since q may be equal to 1, every integer is a rational number. 1 -- Wikipedia Write a Java class for rational numbers. The class should have 1. two fields of type int, one for the numerator and the other for the denominator. 2. a constructor with two parameters, for the numerator and denominator, respectively. 3. four methods called add, subtract, multiply, and divide, respectively; Each method takes another rational number as the parameter, does the calculation using this and the parameter rational number, and returns the result rational. 4. a simplify method that simplifies this rational number. Each simplified rational number should satisfy the following three requirements: a. Common factors between the numerator and the denominator should be cancelled out; For example, 12/30 should become 2/5 after simplification. b. The denominator should always be positive, while the numerator could be positive, negative, or zero; c. The denominator should always be 1 when the rational number is an integer. 5. a toString method which returns the string representation of this in the form Notes: numerator/denominator. You may assume the following when completing the class: 1) The constructor will never be used to instantiate a rational number with denominator equal to 0; 2) The parameters of add, subtract, multiply, and divide will never be null; 3) The parameter of divide will never be equal to 0. You may define additional methods when you see fit. Tests in RationalTest.java should all pass after you've completed the class. What to do: In Rational.java [Task 2] Add the missing fields to class Rational. [Task 3] Complete the constructor and the methods add, subtract, multiply, divide, simplify, and toString. package hk.edu.polyu.comp.comp2021.assignment1.complex; import org.junit.Test; import org.junit.Before; import static org.junit.Assert.*; public class RationalTest { @Test public void testConstructor_01() { Rational r1 = new Rational(1, 2); assertEquals("1/2", r1.toString()); } @Test public void testSimplify_01() { Rational r1 = new Rational(4, 10); r1.simplify(); assertEquals("2/5", r1.toString()); } @Test public void testSimplify_02() { Rational r2 = new Rational(12, 3); r2.simplify(); assertEquals("4/1", r2.toString()); @Test public void testAddition() { Rational r1 = new Rational(1, 2); Rational r2 = new Rational(1, 3); Rational rSum = r1.add(r2); rSum.simplify(); assertEquals("5/6", rSUm.toString()); @Test public void testSubstraction() { Rational r1 = new Rational(2, 3); Rational r2 = new Rational(1, 4); } Rational rSub = r1.subtract (r2); rSub.simplify(); assertEquals("5/12", rSub.toString()); @Test public void test Muliplication() { Rational r1 = new Rational(7, 8); } Rational r2 = new Rational(5, 6); Rational rMul = r1.multiply(r2); rMul.simplify(); assertEquals("35/48", rMul.toString()); @Test public void testDevision() { Rational r1 = new Rational(2, 3); Rational r2 = new Rational (3, 4); Rational rDiv = r1.divide (r2); rDiv.simplify(); assertEquals("8/9", rDiv.toString()); } package hk.edu.polyu.comp.comp2021.assignment1.complex; public class Rational { // Todo: add the missing fields } public Rational(int numerator, int denominator) { } // Todo: complete the constructor public Rational add(Rational other) { // Todo: complete the method return null; } public Rational subtract (Rational other) { // Todo: complete the method return null; } public Rational multiply (Rational other) { // Todo: complete the method return null; } public Rational divide (Rational other) { // Todo: complete the method return null; } public String toString() { // Todo: complete the method return ""; } public void simplify() { } // Todo: complete the method 2. Rational Numbers (15 points) In mathematics, a rational number is any number that can be expressed as the quotient or fraction p/q of two integers, a numerator p and a non-zero denominator q. Since q may be equal to 1, every integer is a rational number. 1 -- Wikipedia Write a Java class for rational numbers. The class should have 1. two fields of type int, one for the numerator and the other for the denominator. 2. a constructor with two parameters, for the numerator and denominator, respectively. 3. four methods called add, subtract, multiply, and divide, respectively; Each method takes another rational number as the parameter, does the calculation using this and the parameter rational number, and returns the result rational. 4. a simplify method that simplifies this rational number. Each simplified rational number should satisfy the following three requirements: a. Common factors between the numerator and the denominator should be cancelled out; For example, 12/30 should become 2/5 after simplification. b. The denominator should always be positive, while the numerator could be positive, negative, or zero; c. The denominator should always be 1 when the rational number is an integer. 5. a toString method which returns the string representation of this in the form Notes: numerator/denominator. You may assume the following when completing the class: 1) The constructor will never be used to instantiate a rational number with denominator equal to 0; 2) The parameters of add, subtract, multiply, and divide will never be null; 3) The parameter of divide will never be equal to 0. You may define additional methods when you see fit. Tests in RationalTest.java should all pass after you've completed the class. What to do: In Rational.java [Task 2] Add the missing fields to class Rational. [Task 3] Complete the constructor and the methods add, subtract, multiply, divide, simplify, and toString. package hk.edu.polyu.comp.comp2021.assignment1.complex; import org.junit.Test; import org.junit.Before; import static org.junit.Assert.*; public class RationalTest { @Test public void testConstructor_01() { Rational r1 = new Rational(1, 2); assertEquals("1/2", r1.toString()); } @Test public void testSimplify_01() { Rational r1 = new Rational(4, 10); r1.simplify(); assertEquals("2/5", r1.toString()); } @Test public void testSimplify_02() { Rational r2 = new Rational(12, 3); r2.simplify(); assertEquals("4/1", r2.toString()); @Test public void testAddition() { Rational r1 = new Rational(1, 2); Rational r2 = new Rational(1, 3); Rational rSum = r1.add(r2); rSum.simplify(); assertEquals("5/6", rSUm.toString()); @Test public void testSubstraction() { Rational r1 = new Rational(2, 3); Rational r2 = new Rational(1, 4); } Rational rSub = r1.subtract (r2); rSub.simplify(); assertEquals("5/12", rSub.toString()); @Test public void test Muliplication() { Rational r1 = new Rational(7, 8); } Rational r2 = new Rational(5, 6); Rational rMul = r1.multiply(r2); rMul.simplify(); assertEquals("35/48", rMul.toString()); @Test public void testDevision() { Rational r1 = new Rational(2, 3); Rational r2 = new Rational (3, 4); Rational rDiv = r1.divide (r2); rDiv.simplify(); assertEquals("8/9", rDiv.toString()); } package hk.edu.polyu.comp.comp2021.assignment1.complex; public class Rational { // Todo: add the missing fields } public Rational(int numerator, int denominator) { } // Todo: complete the constructor public Rational add(Rational other) { // Todo: complete the method return null; } public Rational subtract (Rational other) { // Todo: complete the method return null; } public Rational multiply (Rational other) { // Todo: complete the method return null; } public Rational divide (Rational other) { // Todo: complete the method return null; } public String toString() { // Todo: complete the method return ""; } public void simplify() { } // Todo: complete the method