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# Write natural numbers from $30$ to $45$. What fraction of these numbers is odd?  Verified
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Hint:At first we will find the natural numbers from $30$ to $45$ and then we will find the fraction of odd numbers in the given range.

We have to find the natural numbers from $30$ to $45$.
In Mathematics, natural numbers are the counting numbers. Natural numbers are the part of the number system including all positive integers from $1$ to infinity. It does not include zero ($0$). More precisely, it is the part of real numbers that includes only the positive integers such as $1,2,3...$ excluding zero, decimals, fractions and negative integers.
So, by the definition we get, the natural numbers from $30$ to $45$ are: $30,31,32,33,34,35,36,37,38,39,40,41,42,43,44,45.$
We know that the numbers which are not divisible by $2$, are known as the odd numbers. For example: $1,3,5,7,9...$ and so on.
So, by the definition the odd numbers from $30$ to $45$are: $31,33,35,37,39,41,43,45.$
Here, numbers of natural numbers from $30$ to $45$ is $16.$
Numbers of odd numbers from $30$ to $45$ is $8.$
So, the fraction of these numbers is odd is: (number of odd numbers) $\div$(number of natural numbers of these range from $30$ to $45$)
So, the required fraction is $\dfrac{8}{{16}} = \dfrac{1}{2}$
Note:In Mathematics, natural numbers are the counting numbers. Natural numbers are the part of the number system including all positive integers from $1$ to infinity. It does not include zero ($0$). More precisely, it is the part of real numbers that includes only the positive integers such as $1,2,3...$ excluding zero, decimals, fractions and negative integers.
We know that the numbers which are not divisible by $2$, are known as the odd numbers. For example: $1,3,5,7,9...$ and so on.