Question: A rational number is a number that can be represented by a pair of integers a numerator and a denominator. Write a class named Rational
A rational number is a number that can be represented by a pair of integers
a
numerator and a denominator.
Write a class
named
Rational
that represents
rational numbers. The class should support the following
state/
behavior:
?
A pair of integers
,
num
and
den
,
representin
g the numerator and denominator
?
A constructor that accepts a
pair of integer and uses them to initialize the
instance
variables
.
An exception should be throw if the denominator is 0
.
?
A
second
constructor that accepts a single integer representing a whole number
(i.e., with a denominator of 1).
For full credit, you
must
invoke the two
-
parameter
constructor
(i.e., use
this
)
?
A
toString
method that returns the string representation
num
/
den
(e.g., 3/5)
, if
the denominator is not equal to 1, and
num
(e.g., 7) otherwise.
?
A
Rational
-
returning
method named
multiply
that
accepts a
Rational
argument
and
returns a
new
Rational
consisting of the product of
the receiver
and parameter (both
Rational
s
)
.
(The product of 2 rational numbers is a rational
whose numerator is the product of the two numerators, and whose denominator is
the product of the tw
o
denominators).
?
A
Rational
-
returning
method named
inverse
that
accepts no arguments
returns a
new
Rational
representing the inverse (reciprocal) of its (
Rational
)
parameter
(i.e., the numerator becomes the new denominator and vice versa)
.
?
A
boolean
-
r
e
turning
method named
equals
that
that accepts a
Rational
argument and
returns whether
the receiver and parameter (both
Rational
s
) are
equal
.
(For the purpose of this question, assume two ration
a
l numbers are equal if
their numerator
s
and denominators are equal, i.e., a
ssume 2/
4 is
not
equal to 1/
2).
?
A
main
method that declares and creates
two
Rational
s, using the t
wo
constructors, and illustr
ates the use of the
multiply
,
inverse
, and
equals
methods (one call to each is sufficient).
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