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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Test yourself on simple fractions!

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

\( 5:6= \)

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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
ย 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 โ€“> the number located at the bottom.

22\frac{2}{2}
In this fraction, the denominator is 22 โ€“> 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

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

Exercise #2

Without calculating, determine whether the quotient in the division exercise is less than 1:

7:11 7:11

Video Solution

Step-by-Step Solution

Note that the numerator is smaller than the denominator:

7 < 11

As a result, we can write it thusly:

\frac{7}{11}<1

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

Answer

Less than 1

Exercise #3

Without calculating, determine whether the quotient in the following division is less than 1:

11:8 11:8

Video Solution

Step-by-Step Solution

Note that the numerator is smaller than the denominator:

11 > 8

As a result, it can be written like this:

\frac{11}{8} > 1

Therefore, the quotient in the division problem is not less than 1.

Answer

More than 1

Exercise #4

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

2:1 2:1

Video Solution

Step-by-Step Solution

We know that every number divided by 1 equals the number itself.

We also know that 2 is greater than 1.

This means that we can convert the expression into a fraction as follows:

2/1

We can see that the numerator is greater than the denominator, meaning that the number must be greater than 1.

Answer

It is larger than 1.

Exercise #5

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

1:2= 1:2=

Video Solution

Step-by-Step Solution

Note that the numerator is smaller than the denominator:

1 < 2

As a result, we can claim that:

\frac{1}{2}<1

Therefore, the fraction in the division problem is indeed less than 1.

Answer

Yes

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