Fractional Numbers
As before, fractional numbers can either be Proper (e.g. 2/5), Improper (e.g. 5/2), or Mixed (e.g. 21/2),
Improper to Mixed Fraction Code in Java
Say we have the fraction 10/3 - which is an improper fraction - we can convert this fraction to a mixed fraction by following a number of steps:
Step 1:
Find the largest number smaller than the numerator (10),
that can divide the denominator - 3 - without remainder.
⇒ 9
Step 2:
Subtract the found number (9) - from Step 1 -
from the numerator (10)
⇒ 10 - 9 = 1;
This yields the whole number.
Step 3:
Divide the found number (9) - from Step 1 -
by the denominator (3)
⇒ 9/3 = 3;
This yields the new numerator.
Step 4:
Reuse the denominator (3) to get our mixed fraction
⇒ 31/3
Create a new java class file;
call it ImproperToMixed
Type out the adjoining Java code for converting improper to mixed fractions.
Note: You can comment out the MixedToImproper Java object code in the main class from the previous lesson or simply continue from where it stopped.
So!
Feel free to try out your own numerator and denominator.
Java code for ImproperToMixed class file
package algebra;
public class ImproperToMixed {
private final int numerator;
private final int denominator;
private int whole_number;
private int new_numerator;
public ImproperToMixed(int num, int denom) {
numerator = num;
denominator = denom;
}
public int[] doConvert() {
int dividend; // Highest multiple of denominator less than numerator
for (dividend = numerator - 1; dividend > 1; dividend--) {
if ((dividend % denominator) == 0) {
new_numerator = numerator - dividend;
whole_number = dividend / denominator;
break;
}
}
return new int[]{whole_number, new_numerator};
}
}
public class ImproperToMixed {
private final int numerator;
private final int denominator;
private int whole_number;
private int new_numerator;
public ImproperToMixed(int num, int denom) {
numerator = num;
denominator = denom;
}
public int[] doConvert() {
int dividend; // Highest multiple of denominator less than numerator
for (dividend = numerator - 1; dividend > 1; dividend--) {
if ((dividend % denominator) == 0) {
new_numerator = numerator - dividend;
whole_number = dividend / denominator;
break;
}
}
return new int[]{whole_number, new_numerator};
}
}
Algebra main class
package algebra;
import java.util.List;
public class Algebra {
public static void main(String[] args) {
int numerator;
int denominator;
int whole_number;
int[] solution;
System.out.println("Welcome to our demonstration sequels");
System.out.println("Hope you enjoy (and follow) the lessons.");
System.out.println("");
/*
* Convert fractions from Improper to Mixed
*/
numerator = 10;
denominator = 3;
System.out.println("Converting from Improper to Mixed the fraction:");
// Print as fraction
System.out.printf("%55d%n", numerator);
System.out.printf("%54s%n", "―");
System.out.printf("%55d%n", denominator);
// use the ImproperToMixed class
ImproperToMixed imp_mix = new ImproperToMixed(numerator, denominator);
solution = imp_mix.doConvert();
whole_number = solution[0];
numerator = solution[1];
System.out.println();
System.out.printf("%52d%n", numerator);
System.out.printf("%50s%d%s%n", "Answer = ", whole_number, "―");
System.out.printf("%52d%n", denominator);
System.out.println("\n\n");
}
}
import java.util.List;
public class Algebra {
public static void main(String[] args) {
int numerator;
int denominator;
int whole_number;
int[] solution;
System.out.println("Welcome to our demonstration sequels");
System.out.println("Hope you enjoy (and follow) the lessons.");
System.out.println("");
/*
* Convert fractions from Improper to Mixed
*/
numerator = 10;
denominator = 3;
System.out.println("Converting from Improper to Mixed the fraction:");
// Print as fraction
System.out.printf("%55d%n", numerator);
System.out.printf("%54s%n", "―");
System.out.printf("%55d%n", denominator);
// use the ImproperToMixed class
ImproperToMixed imp_mix = new ImproperToMixed(numerator, denominator);
solution = imp_mix.doConvert();
whole_number = solution[0];
numerator = solution[1];
System.out.println();
System.out.printf("%52d%n", numerator);
System.out.printf("%50s%d%s%n", "Answer = ", whole_number, "―");
System.out.printf("%52d%n", denominator);
System.out.println("\n\n");
}
}