Denominator

What is the denominator?

The denominator is the bottom number of a fraction and represents the whole in its entirety.
For example:

A3 - denominator image

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Without calculating, determine whether the quotient in the division exercise is smaller than 1 or not:

\( 2:1 \)

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Denominator

In this article, you will learn everything you need to know about the denominator and its function in fractions.

What is the denominator?

The denominator is one of the components of a fraction, therefore, to better understand what the denominator is, let's first talk about fractions.
A fraction is a number that is composed of two numbers:
The upper one which is called the numerator
A fractional line that represents a division
And the lower number which we call the denominator

For example:

A2 - fraction is a number that is made up of two numbers

The fraction could represent a certain part or even the entirety of a whole.

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What function does the denominator serve?

The denominator represents the whole itself, that is, the totality of parts or portions there are.
For example, in the fraction
 787 \over 8,
The denominator indicates that 88 is the whole, in total there are 88 parts.
Explanatory note as a gift: The 77 in the numerator represents a certain part within the whole 77 parts within 88, that is, 77 eighths.

Let's see it illustrated:

The denominator 8 represents the whole of 8 parts

Now that you understand what the denominator is, let's practice.

Exercise 1

Discover the fractions whose denominator is 22:
23,52,22,77\frac{2}{3}, \frac{5}{2}, \frac{2}{2}, \frac{7}{7}

Solution:
52\frac{5}{2}
In this fraction, the denominator is 22 –> the number located at the bottom.

22\frac{2}{2}
In this fraction, the denominator is 22 –> the number located at the bottom.


Do you know what the answer is?

Exercise 2

Write 33 fractions whose denominator is 55:

Solution:
25,125,55\frac{2}{5}, \frac{12}{5}, \frac{5}{5}

In the three fractions we wrote, the denominator is 55. Any fraction you write that has the number 55 as the denominator and any whole number as the numerator will be a correct answer.


Examples and exercises with solutions of Denominator

Exercise #1

What fraction results from dividing 9 by 13?

Video Solution

Step-by-Step Solution

First, let's write out the division exercise:

9:13 9:13

Now let's write it as a simple fraction, remembering that the numerator is on top and the denominator is on the bottom:

913 \frac{9}{13}

Answer

913 \frac{9}{13}

Exercise #2

What fraction results from dividing 2 by 3?

Video Solution

Step-by-Step Solution

First, let's write the division exercise:

2:3 2:3

Now let's write it as a simple fraction, remembering that the numerator is on top and the denominator is on the bottom:

23 \frac{2}{3}

Answer

23 \frac{2}{3}

Exercise #3

What fraction results from dividing 2 by 5?

Video Solution

Step-by-Step Solution

Firstly, let's write out the division exercise:

2:5 2:5

Now, let's write it out again as a simple fraction, remembering that the numerator is on top and the denominator is on the bottom:

25 \frac{2}{5}

Answer

25 \frac{2}{5}

Exercise #4

Solve the following expression:

1313= \frac{13}{13}=

Step-by-Step Solution

First, we will divide the numerator and denominator by the highest number that both are divisible by.

In this case, the number is 13.

Then we will divide the fraction as follows:

13:1313:13=11=1 \frac{13:13}{13:13}=\frac{1}{1}=1

Answer

1 1

Exercise #5

Solve the following expression:

2929= \frac{29}{29}=

Step-by-Step Solution

First we will divide the numerator and denominator by the highest number that both are divisible by.

In this case, the number is 29.

Then we will divide the fraction as follows:

29:2929:29=11=1 \frac{29:29}{29:29}=\frac{1}{1}=1

Answer

1 1

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