Question

The denominator of the rational number – 9 is
A rational number p/q is positive if
A fraction is a rational number, but a rational number
A rational number is a number that can be put in the form p/q, where p and q are:

​

Answer 1

Answer:

Step-by-step explanation:

Fraction is defined as a part of a whole thing. Every fraction is of the form  

n

m

​

 where m is a whole number and n is a natural number.

Rational number is defined as the number of the form  

b

a

​

 where a and b are integers and b



=0.

Since all whole numbers and natural numbers are present in set of integers every fraction is a rational number. Examples :  

5

4

​

,  

7

4

​

 

So, the statement p is true.

But every rational number is not a fraction. Examples :  

−4

3

​

,  

−16

17

​

. Here the denominators are not natural numbers and hence they are not fractions.

So, the statement q is false.