# Denominator

Let you have a fraction a ⁄ b, where "a", "b" are numbers and b ≠ 0.

Look, the number "b" is under the fraction line, isn't it?

So, the number standing under the fraction line is called "denominator". But, the number standing above the fraction line is called "numerator". Now, you see, every fraction always consists of its numerator, fraction line and denominator.

##### Example:

5 ⁄ 8, (5 - numerator, 8 - denominator);
12 ⁄ 17, (12 - numerator, 17 - denominator).

### It's interesting!

Every fraction as a number has its own place on the number scale.
Let you have a fraction a ⁄ b, where "a", "b" are numbers and b ≠ 0. If you multiply the numerator (a) by a number "m" and the denominator (b) by the same number "m", you'll get the fraction m × a ⁄ m × b, it equals to the fraction a ⁄ b.
It means m × a ⁄ m × b = a ⁄ b. The fraction m × a ⁄ m × b = a ⁄ b has the same place on the number scale as the fraction a ⁄ b, though they look different. They have different numerators and denominators, but they are equal to each other.

##### Example:

3 ⁄ 5 = 2 × 3 ⁄ 2 × 5 = 6 ⁄ 10
7 ⁄ 20 = 5 × 7 ⁄ 5 × 20 = 35 ⁄ 100

Such a way of changing fractions allows you to compare, add and subtract them. Read more about numbers and you'll see they are not only in mathematics. Numbers are all around us and inside us, too. May be it'll make your life more interesting.

So, "Don't put off till tomorrow what you can do today".

#### Note

- fraction slash

= - is equal to; equals

- is not equal to; does not equal

× - multiplied by