# Is 1/4 a rational, irrational, natural, whole, integer or real number?

Jul 5, 2015

The number $\frac{1}{4}$ is a fraction, and fractions are ratios, and ratios are ratio-nal numbers!

#### Explanation:

Every fraction is comparing one number to another. So, for example, the number $\frac{2}{5}$ is comparing the number 2 with the number 5. In this case, the fraction is saying that 2 is the fractional part and 5 is the whole part. So if a pizza was cut into 5 equal slices, and I ate 2 of those slices, I would have eaten $\frac{2}{5}$ of the pizza.

The ratio is a different way of saying exactly the same thing. Instead of writing $\frac{2}{5}$, we could write $2 : 5$, which is a ratio comparing 2 to 5. Therefore, every rational number is a number that can be expressed as a quotient a/b of two integers. The integer a is called the numerator, and the integer b is called the denominator and cannot be zero (0).

Aug 16, 2017

$\frac{1}{4} \text{ }$ IS Real and Rational

and

IS NOT Irrational, an Integer, a whole number or a Natural number

#### Explanation:

Real numbers are made up of Rational and Irrational numbers.
Every real number is either Rational OR Irrational, never both.

Rational numbers can be written as fractions, which means in the form $\frac{a}{b}$, where $a \mathmr{and} b$ are integers and $b \ne 0$

Irrational numbers cannot be written as $\frac{a}{b}$

Integers are the positive and negative whole numbers, (not mixed numbers).

$\ldots \ldots - 3 , - 2 , - 1 , 0 , 1 , 2 , 3 , \ldots$

Whole numbers (also called counting numbers are) The positive integers and $0$

$0 , 1 , 2 , 3 , 4. . .$

Natural numbers are the positive integers

$1 , 2 , 3 , 4 \ldots . .$

Therefore, $\frac{1}{4}$ IS Real and IS Rational

and $\frac{1}{4}$ IS NOT Irrational, NOT an Integer, NOT a whole number and NOT a Natural number