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

Write the fraction shown in the diagram as a number:

Video Solution

Step-by-Step Solution

The number of parts in the circle represents the denominator of the fraction, while the number of coloured parts represents the numerator.

The circle is divided into 2 parts and 1 part is coloured.

If we rewrite this as a fraction, we obtain the following:

12 \frac{1}{2}

Answer

12 \frac{1}{2}

Exercise #2

Write the fraction shown in the diagram as a number:

Video Solution

Step-by-Step Solution

The number of parts in the circle represents the denominator of the fraction, while the number of coloured parts represents the numerator.

The circle is divided into 3 parts and 2 parts are coloured.

Hence:

23 \frac{2}{3}

Answer

23 \frac{2}{3}

Exercise #3

Write the fraction shown in the drawing, in numbers:

Video Solution

Step-by-Step Solution

The number of parts in the circle represents the denominator of the fraction, and the number of colored parts represents the numerator.

The circle is divided into 3 parts, 1 part is colored.

Hence:

13 \frac{1}{3}

Answer

13 \frac{1}{3}

Exercise #4

What fraction does the part shaded in red represent?

Video Solution

Step-by-Step Solution

To work out what the marked part is, we need to count how many coloured squares there are compared to how many squares there are in total.

If we count the coloured squares, we see that there are four such squares.

If we count all the squares, we see that there are seven in all.

Therefore, 4/7 of the squares are shaded in red.

Answer

47 \frac{4}{7}

Exercise #5

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

5:6= 5:6=

Video Solution

Step-by-Step Solution

Note that the numerator is smaller than the denominator:

5 < 6

As a result, we can write it thusly:

\frac{5}{6} < 1

Therefore, the quotient in the division exercise is indeed less than 1.

Answer

Less than 1

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