Manipulating Rational Numbers SOlution

Introduction




A number is called a rational number if there are two integers and with ≠ 0 such that can be expressed as = . The goal of this assignment is to develop an implementation for performing simple arithmetic operations on rational numbers.







Problem Statement




Develop a RationalNumber.java class and write a test-driver program (RationalNumberDriver.java) to test the class. Your implementation must meet the following design requirements.




Design Requirements

The class uses integer fields to represent the numerator and the denominator of a rational




number.




The class stores each rational number in reduced form. That is, the rational number 2/4, for example, would be stored in the object as 1 in the numerator and 2 in the denominator. This should always be the case whether the rational number is read from the input file or is the result




of some arithmetic operation.

The denominator of a rational number must be stored positive. For example, rational numbers −43




−3 −3 3

and −4 would be stored in the object as 4 and 4 respectively). This should always be the case whether the rational number is read from the input file or is the result of some arithmetic operation.

The class has a default constructor to set the numerator to 0 and the denominator to 1.




The class contains a toString method to display rational numbers in the form a/b. The class




contains an additional method for printing rational numbers in floating point format.

The class provides four public member methods to perform addition, subtraction, multiplication,




and division of two fractions.

The test-driver program must verify that the denominator of any input rational number is not




zero. If it is zero, the input is rejected and a message is displayed on the screen.

The test-driver program performs the four operations: addition, subtraction, multiplication, and




division on the two rational numbers. It displays the two fractions involved in the arithmetic operation and the fraction resulting from applying the operation in the form: a/ / = / . The resulting fraction ( / ) is also displayed in floating point format.




The test driver obtains its input from a data file (fractions.txt).




Program Input




The test-drive program obtains two rational numbers from a data file (fractions.txt) with data organized as follows. Each line in the input file represents a fraction. Therefore, each line consists of two integer values separated by a single space. You may assume that the first integer always represents the numerator and the second integer always represents the denominator of a rational number. It is possible that one or both values on a line be zeros. Here are the first few lines in a sample input file:




-4 -16

0
0
-8



Program Output




Below is a sample output based on the sample input data provided above:




Program is reading input file to validate two rational numbers...

The first valid fraction obtained is:
1/4
0.250
Invalid Fraction: denominator cannot be zero.




Invalid Fraction: denominator cannot be zero.




The second valid fraction obtained is:
-1/8
-0.125



Program is now performing arithmetic operations on the two fractions…

1/4 + -1/8 = 1/8 = 0.125

1/4 - -1/8 = 3/8 = 0.375

1/4 * -1/8 = -1/32 = -0.03125




1/4 / -1/8 = -2/1 = -2.0




Program is done.

Bye!







Submission Instructions




When you are satisfied with your implementation, and after testing it thoroughly, submit the RationalNumber.java and the RationalNumberDriver.java files on Blackboard.