Question

ASAP

(Convert decimals to fractions) Write a program that prompts the user to enter a decimal number and displays the number in a fraction. Hint: read the decimal number as a string, extract the integer part and fractional part from the string, and use the Rational class in Listing 13.13 to obtain a rational number for the decimal number. Use the template at https://liveexample.pearsoncmg.com/test/Exercise13_19Test.txt for your code. Sample Run 1 Enter a decimal number: 3.25 The fraction number is 13/4 Sample Run 2 Enter a decimal number: -0.45452 The fraction number is -11363/25000 Class Name: Exercise13_19 If you get a logical or runtime error, please refer https://liveexample.pearsoncmg.com/faq.html.

Answer 1

package Test;

import java.util.Scanner;

public class Exercise13_19 {
public static void main(String[] args) {
   System.out.print("Enter a decimal number: ");
   Scanner sc = new Scanner(System.in);
   double d = sc.nextDouble();
   String s = String.valueOf(d);
   int digitsDec = s.length() - 1 - s.indexOf('.');
   int denom = 1;
   for (int i = 0; i < digitsDec; i++) {
   d *= 10;
   denom *= 10;
   }

   int num = (int) Math.round(d);
   Long num1= new Long(num);
   Long denom1= new Long(denom);
   Rational r = new Rational(num1,denom1);
   System.out.println("The fraction number is "+r.getNumerator()+"/"+r.getDenominator());
}
}

// Copy from the book
class Rational extends Number implements Comparable<Rational> {
// Data fields for numerator and denominator
private long numerator = 0;
private long denominator = 1;

/** Construct a rational with default properties */
public Rational() {
this(0, 1);
}

/** Construct a rational with specified numerator and denominator */
public Rational(long numerator, long denominator) {
long gcd = gcd(numerator, denominator);
this.numerator = (denominator > 0 ? 1 : -1) * numerator / gcd;
this.denominator = Math.abs(denominator) / gcd;
}

/** Find GCD of two numbers */
private static long gcd(long n, long d) {
long n1 = Math.abs(n);
long n2 = Math.abs(d);
int gcd = 1;
  
for (int k = 1; k <= n1 && k <= n2; k++) {
if (n1 % k == 0 && n2 % k == 0)
gcd = k;
}

return gcd;
}

/** Return numerator */
public long getNumerator() {
return numerator;
}

/** Return denominator */
public long getDenominator() {
return denominator;
}

/** Add a rational number to this rational */
public Rational add(Rational secondRational) {
long n = numerator * secondRational.getDenominator() +
denominator * secondRational.getNumerator();
long d = denominator * secondRational.getDenominator();
return new Rational(n, d);
}

/** Subtract a rational number from this rational */
public Rational subtract(Rational secondRational) {
long n = numerator * secondRational.getDenominator()
- denominator * secondRational.getNumerator();
long d = denominator * secondRational.getDenominator();
return new Rational(n, d);
}

/** Multiply a rational number to this rational */
public Rational multiply(Rational secondRational) {
long n = numerator * secondRational.getNumerator();
long d = denominator * secondRational.getDenominator();
return new Rational(n, d);
}

/** Divide a rational number from this rational */
public Rational divide(Rational secondRational) {
long n = numerator * secondRational.getDenominator();
long d = denominator * secondRational.numerator;
return new Rational(n, d);
}

@Override
public String toString() {
if (denominator == 1)
return numerator + "";
else
return numerator + "/" + denominator;
}

@Override // Override the equals method in the Object class
public boolean equals(Object other) {
if ((this.subtract((Rational)(other))).getNumerator() == 0)
return true;
else
return false;
}

@Override // Implement the abstract intValue method in Number
public int intValue() {
return (int)doubleValue();
}

@Override // Implement the abstract floatValue method in Number
public float floatValue() {
return (float)doubleValue();
}

@Override // Implement the doubleValue method in Number
public double doubleValue() {
return numerator * 1.0 / denominator;
}

@Override // Implement the abstract longValue method in Number
public long longValue() {
return (long)doubleValue();
}

@Override // Implement the compareTo method in Comparable
public int compareTo(Rational o) {
if (this.subtract(o).getNumerator() > 0)
return 1;
else if (this.subtract(o).getNumerator() < 0)
return -1;
else
return 0;
}
}