Question

give an example which is a rational number but not an integers​

Answer 1

Answer:

Explanation: A rational number that is not an integer is of the form p/q where p and q are integers and q is not equal to 0 or 1. For example, 5/2, 6/13 are rational numbers that are not integers.

Step-by-step explanation:

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Answer 2

Answer:

A rational number that is not an integer is of the form p/q where p and q are integers and q is not equal to 0 or 1. For example, 5/2, 6/13 are rational numbers that are not integers. A rational number that is an integer is p, where p is an integer. For example, -5, -2 are

Step-by-step explanation:

Complete step-by-step answer:

In this question, we are supposed to find a number which is rational but not an integer.

So, before proceeding for this, we must know the condition that the rational number is always an integer is not necessary but an integer can be written as a rational number always.

Here, we are said to give an example of the rational number which is not an integer.

But, before that, we all should know what is a rational number.

So, the rational number is the number of the form pq where q≠0 .

However, an integer is the number that has an integer value and always comes in the total range of numbers from −∞ to ∞ .

Now, to take an example of any rational number which is not an integer is:

34

Here, the example considered by us as 34 is not an integer but still a rational number.

Now, to prove that it is not an integer, find the decimal value of the number considered as:

34=0.75

So, it gives the value 0.75 and by the definition of integers, it is not an integer value.

But when we go for the definition of rational number, 34 is of form pq and also its denominator is not zero which states that it is a valid rational number.

Similarly, we can take many numbers which are rational numbers but not integers.

Hence, it is proved that 34 is a rational number but not an integer.

Note: Now, to solve these types of questions, it was not necessary to take this fixed example as 34 to prove that a rational number is not necessarily an integer. So, in mathematics of the numbers, we have a number of rational numbers like 12,68,15 and much more that are not integers. So we can take any rational number whose fraction doesn’t give an integer value to prove this statement.i hope u understand it