Rational numbers definitions

[Kalindi]

The definition of rational number is a number of the form p/q , where p and q are integers and q not equal to zero is called as rational number.
In simple word any fraction is called a rational number.
My question is that the division of two fraction number obiviously not an integers are also fraction which is correct or not.

 

[Dr.Peterson]

The definition of rational number is a number of the form p/q , where p and q are integers and q not equal to zero is called as rational number.
In simple word any fraction is called a rational number.
My question is that the division of two fraction number obiviously not an integers are also fraction which is correct or not.

I'd make one correction to that definition: A rational number is a number that can be written in the form p/q , where p and q are integers and q not equal to zero.

So whole numbers, and decimals, and all sorts of expressions can be rational numbers, as long as you can simplify them into the standard form.

I think you are referring to expressions like (3/4)/(5/8), which can be written as 3/4 * 8/5 = 6/5.

 

[HallsofIvy]

And, of course, (3/4)/(3/4)= 1 is also a "rational number" since, as Dr. Peterson said, whole numbers are also rational numbers: 1/1. And 0.5= 1/2 is a rational number.

 

[Steven G]

To complicate things, a rational number can be expressed as an ending decimal number or as an non-ending repeating decimal number.