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Is $\frac{11}{5}$ a natural number? $\newline$ Choices: $\newline$ (A) yes $\newline$ (B) no

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Classify numbers

Full solution

Q. Is

\frac{11}{5}

a natural number?

\newline

Choices:

\newline

(A) yes

\newline

(B) no

Understand natural numbers: Understand what a natural number is. $\newline$ Natural numbers are the set of positive integers starting from $1$ , $2$ , $3$ , and so on. They do not include fractions, decimals, or negative numbers.
Evaluate fraction $\frac{11}{5}$ : Evaluate the fraction $\frac{11}{5}$ . $\frac{11}{5}$ is a fraction where the numerator is $11$ and the denominator is $5$ . To determine if it's a natural number, we need to see if it can be simplified to a positive integer without a remainder.
Simplify fraction $\frac{11}{5}$ : Simplify the fraction $\frac{11}{5}$ . $\newline$ When we divide $11$ by $5$ , we get $2$ with a remainder of $1$ . This means $\frac{11}{5}$ is equal to $2$ with a fraction of $\frac{1}{5}$ remaining, which is not a whole number.
Determine natural number status: Determine if $\frac{11}{5}$ is a natural number. $\newline$ Since $\frac{11}{5}$ cannot be simplified to a whole number without a remainder, it is not a natural number.

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