Problem Solving with C++ (9th Edition)
9th Edition
ISBN: 9780133591743
Author: Walter Savitch
Publisher: PEARSON
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Chapter 11, Problem 2PP
Define a class for rational numbers. A rational number is a number that can be represented as the quotient of two integers. For example, 1/2, 3/4, 64/2, and so forth are all rational numbers. (By 1/2, etc., we mean the everyday meaning of the fraction, not the integer division this expression would produce in a C++ program.) Represent rational numbers as two values of type int, one for the numerator and one for the denominator. Call the class Rational.
Include a constructor with two arguments that can be used to set the member variables of an object to any legitimate values. Also include a constructor that has only a single parameter of type int; call this single parameter wholeNumber and define the constructor so that the object will be initialized to the rational number wholeNumber/1. Also include a default constructor that initializes an object to 0 (that is, to 0/1).
Overload the input and output operators >> and <<. Numbers are to be input and output in the form 1/2, 15/32, 300/401, and so forth. Note that the numerator, the denominator, or both may contain a minus sign, so −1/2, 15/32, and −300/−401 are also possible inputs. Overload all of the following operators so that they correctly apply to the type Rational: ==, <, <=, >, >=, +, −, *, and /. Also write a test program to test your class.
(Hints: Two rational numbers a/b and c/d are equal if a*d equals c*b. If b and d are positive rational numbers, a/b is less than c/d provided a*d is less than c*b. You should include a function to normalize the values stored so that, after normalization, the denominator is positive and the numerator and denominator are as small as possible. For example, after normalization 4/−8 would be represented the same as −1/2. You should also write a test program to test your class.)
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Chapter 11 Solutions
Problem Solving with C++ (9th Edition)
Ch. 11.1 - Write a function definition for a function called...Ch. 11.1 - What is the difference between a friend function...Ch. 11.1 - Suppose you wish to add a friend function to the...Ch. 11.1 - Prob. 4STECh. 11.1 - Notice the member function output in the class...Ch. 11.1 - Notice the definition of the member function input...Ch. 11.1 - The Pitfall section entitled Leading Zeros in...Ch. 11.1 - Give the complete definition of the member...Ch. 11.1 - Why would it be incorrect to add the modifier...Ch. 11.1 - What are the differences and the similarities...
Ch. 11.1 - Given the following definitions: const int x = 17;...Ch. 11.2 - What is the difference between a (binary) operator...Ch. 11.2 - Prob. 13STECh. 11.2 - Suppose you wish to overload the operator = so...Ch. 11.2 - Prob. 15STECh. 11.2 - Give the definition for the constructor discussed...Ch. 11.2 - Here is a definition of a class called Pairs....Ch. 11.2 - Following is the definition for a class called...Ch. 11.3 - Give a type definition for a structure called...Ch. 11.3 - Write a program that reads in five amounts of...Ch. 11.3 - Change the class TemperatureList given in Display...Ch. 11.3 - Prob. 22STECh. 11.3 - If a class is named MyClass and it has a...Ch. 11.4 - Prob. 24STECh. 11.4 - The following is the first line of the copy...Ch. 11.4 - Answer these questions about destructors. a. What...Ch. 11.4 - a. Explain carefully why no overloaded assignment...Ch. 11 - Modify the definition of the class Money shown in...Ch. 11 - Self-Test Exercise 17 asked you to overload the...Ch. 11 - Self-Test Exercise 18 asked you to overload the...Ch. 11 - Prob. 1PPCh. 11 - Define a class for rational numbers. A rational...Ch. 11 - Define a class for complex numbers. A complex...Ch. 11 - Enhance the definition of the class StringVar...Ch. 11 - Define a class called List that can hold a list of...Ch. 11 - Define a class called StringSet that will be used...Ch. 11 - This programming project requires you to complete...Ch. 11 - Redo Programming Project 6 from Chapter 9 (or do...Ch. 11 - Solution to Programming Project 11.12 To combat...Ch. 11 - Repeat Programming Project 11 from Chapter 10 but...
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