Rational

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Rational CPP.zip - (400.33 KB)
[
Rational CPP/Debug/
Rational CPP/Debug/cl.command.1.tlog
Rational CPP/Debug/CL.read.1.tlog
Rational CPP/Debug/CL.write.1.tlog
Rational CPP/Debug/link.1624.read.1.tlog
Rational CPP/Debug/link.1624.write.1.tlog
Rational CPP/Debug/link.1624-cvtres.read.1.tlog
Rational CPP/Debug/link.1624-cvtres.write.1.tlog
Rational CPP/Debug/link.command.1.tlog
Rational CPP/Debug/link.read.1.tlog
Rational CPP/Debug/link.write.1.tlog
Rational CPP/Debug/link-cvtres.read.1.tlog
Rational CPP/Debug/link-cvtres.write.1.tlog
Rational CPP/Debug/mt.command.1.tlog
Rational CPP/Debug/mt.read.1.tlog
Rational CPP/Debug/mt.write.1.tlog
Rational CPP/Debug/Produce CPP.exe
Rational CPP/Debug/Produce CPP.exe.embed.manifest
Rational CPP/Debug/Produce CPP.exe.embed.manifest.res
Rational CPP/Debug/Produce CPP.exe.intermediate.manifest
Rational CPP/Debug/Produce CPP.ilk
Rational CPP/Debug/Produce CPP.lastbuildstate
Rational CPP/Debug/Produce CPP.log
Rational CPP/Debug/Produce CPP.pdb
Rational CPP/Debug/Produce CPP.write.1.tlog
Rational CPP/Debug/Produce CPP_manifest.rc
Rational CPP/Debug/rational.obj
Rational CPP/Debug/rc.command.1.tlog
Rational CPP/Debug/rc.read.1.tlog
Rational CPP/Debug/rc.write.1.tlog
Rational CPP/Debug/vc100.idb
Rational CPP/Debug/vc100.pdb
Rational CPP/Produce CPP.sln
Rational CPP/Produce CPP.suo
Rational CPP/Produce CPP.vcxproj
Rational CPP/Produce CPP.vcxproj.filters
Rational CPP/Produce CPP.vcxproj.user
Rational CPP/Question.txt
Rational CPP/rational.cpp
Rational CPP/Screenshot_1.png
]

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 rarional numbers.

(By 1/2 and so on we mean that everyday

fractions, 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 de?ne

the constructor so that the object will

be initialized to the rational number

wholeNumber/1. Include a default

constructor that initializes an object to

0 (that is, 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 the following operators so that they correctly apply to the type Rational: ==, <, <=, >, >=, +,

-, *, and /. The main() should test your

class and the functions.
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 deniminator 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.
Filename: rational.cpp