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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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 is the marked part?

Video Solution

Step-by-Step Solution

We can see that there are three shaded parts out of six parts in total,

that is - 3/6

But this is not the final answer yet!

Let'snotice that this fraction can be reduced,

meaning, it is possible to divide both the numerator and the denominator by the same number,

so that the fraction does not lose its value. In this case, the number is 3.

3:3=1
6:3=2

And so we get 1/2, or one half.
And if we look at the original drawing, we can see that half of it is colored.

Answer

12 \frac{1}{2}

Exercise #2

What fraction results from dividing 8 by 16?

Video Solution

Step-by-Step Solution

Write the exercise:

8:16 8:16

Now write it in the form of a simple fraction, remembering that the numerator is above and the denominator is below:

816 \frac{8}{16}

Divide the numerator and denominator by the number that divides both of them, in this case the number is 8:

8:816:8=12 \frac{8:8}{16:8}=\frac{1}{2}

Answer

12 \frac{1}{2}

Exercise #3

My numerator is 4 and my denominator is 8.

Which am I?

Video Solution

Step-by-Step Solution

Recall that the numerator is the top number, and the denominator is the bottom number.

Now let's represent it accordingly:

48 \frac{4}{8}

Let's divide the numerator and denominator by 4:

4:48:4=12 \frac{4:4}{8:4}=\frac{1}{2}

Answer

12 \frac{1}{2}

Exercise #4

Write the fraction shown in the drawing, in numbers:

Video Solution

Answer

12 \frac{1}{2}

Exercise #5

Write the fraction shown in the drawing, in numbers:

Video Solution

Answer

23 \frac{2}{3}

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