# What is the set of numbers to which 18/3 belong?

Oct 29, 2016

$\frac{18}{6} = 3$ belongs to Natural numbers, whole numbers, integers, fractions, rational numbers

#### Explanation:

$\frac{18}{3}$ is a fraction, which can be simplified as $\frac{6 \cancel{18}}{1 \cancel{3}} = \frac{6}{1} = 6$.

Hence,

It belongs to Natural numbers , which are $\left\{1 , 2 , 3 , 4 , 5 , 6. \ldots \ldots \ldots \ldots . .\right\}$

It belongs to Whole numbers , which are $\left\{0 , 1 , 2 , 3 , 4 , 5 , 6. \ldots \ldots \ldots \ldots . .\right\}$

It belongs to Integers , which are $\left\{\ldots . - 6 , - 5 , - 4 , - 3 , - 2 , - 1 , 0 , 1 , 2 , 3 , 4 , 5 , 6. \ldots \ldots \ldots \ldots . .\right\}$

It belongs to Fractions , as it can be expressed as a ratio of two natural numbers

It belongs to Rational numbers , as it can be expressed as a ratio of two integers

Note: It also belongs to Real numbers , as it can be marked on real number line, as well as a Complex number, say $6 + i 0$, but this may be beyond Prealgebra.