Question

If we divide a positive integer with another positive integer. What is the resulting number?

Answer 1

Hint:
It is given in the question that If we divide a positive integer with another positive integer.
Then what is the resulting number?
In this problem, we have to think about the resulting number when we divide a positive integer with another positive integer.
We know that the division of two positive integers will give the positive number.
We will consider the different cases for two positive integers and then we divide them. Then, we will observe the resulting numbers.

Complete step by step solution:
It is given in the question that If we divide a positive integer with another positive integer.
Then what is the resulting number?
Since, we know that the division of two positive integers will give the positive number.
Now, let us consider ‘a’ and ‘b’ are two positive integers.
In this problem, we will consider two different cases
Case 1: if the integer ‘a’ is exactly divisible by ‘b’ then we can say that $\dfrac{a}{b}$ will be a positive integer.
For example: let us take $a=6$ and $b=2$.
Since, we know that 6 is exactly divisible by 2. That is, $\dfrac{a}{b} = \dfrac{6}{2} = 3$
Since, we can say that the resulting number is a positive integer.
Case 2: if the integer ‘a’ is not exactly divisible by ‘b’ then we can say that $\dfrac{a}{b}$ will be positive rational.
For example: let us take $a=7$ and $b=3$.
Here, we know that 7 is not exactly divisible by 3. That is, $\dfrac{a}{b} = \dfrac{7}{3}$.
Since, we can say that the resulting number is positive rational.
From the above cases, we can say that if we divide a positive integer with another positive integer than the resulting number will be either positive integer or positive rational number

Note:
Remember that the division of two negative integers will give a positive number. In the given problem, if we consider the division of a negative integer by another negative integer then the resulting number will be either positive integer or positive rational number.
The rational number is of the form $\dfrac{p}{q}$ where p is an integer and q are natural number.