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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Write the fraction shown in the picture, in words:

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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 picture, in words:

Step-by-Step Solution

To solve this problem, we'll write the fraction shown in the picture in words. The steps to solve this are straightforward:

  1. Count the number of total equal parts in the grid. In the picture, the grid consists of 9 equal parts.

  2. Identify the number of shaded parts. There are 6 shaded parts in total.

  3. Write the fraction using the total parts and shaded parts. The fraction is 69\frac{6}{9}.

  4. Express the fraction in words. In words, 69\frac{6}{9} is "six ninths."

Therefore, the written fraction from the picture in words is "Six ninths".

Answer

Six ninths

Exercise #2

Write the fraction shown in the picture, in words:

Step-by-Step Solution

To solve the problem of expressing the fraction in words, follow these steps:

  • Step 1: Count the total number of sections in the grid to determine the denominator.
  • Step 2: Count the number of shaded sections to determine the numerator.
  • Step 3: Write the fraction as a phrase using words.

Now, let's work through these steps:

Step 1: The grid consists of a 3×33 \times 3 layout, which means there are 9 total sections. Therefore, the denominator of our fraction is 9.

Step 2: Observe and count the number of shaded sections within the grid. In this case, there are 4 shaded sections. Therefore, the numerator is 4.

Step 3: With a fraction identified as 49\frac{4}{9}, we can express this in words as "four ninths."

Therefore, the solution to the problem is four ninths.

Answer

Four ninths

Exercise #3

Write the fraction shown in the picture, in words:

Step-by-Step Solution

To solve this problem, we need to translate the visual fraction representation into words:

  • Step 1: Recognize the grid is a 3x3 matrix, making a total of 3×3=9 3 \times 3 = 9 squares.
  • Step 2: Count the shaded squares, which appear to number 3 squares.
  • Step 3: Write this as a fraction: the number of shaded squares (3) over the total squares (9). This fraction is 39\frac{3}{9}.
  • Step 4: Convert the fraction 39\frac{3}{9} into words. This is read as "three ninths".

Thus, the fraction shown in the picture, in words, is three ninths.

Answer

Three ninths

Exercise #4

Write the fraction shown in the picture, in words:

Step-by-Step Solution

Step 1: Count the total sections
The circle is divided into 8 equal sections.
Step 2: Count the shaded sections
There are 6 shaded sections in the diagram.
Step 3: Formulate the fraction
The fraction of the shaded area is 68\frac{6}{8}.
Step 4: Express in words
The fraction 68\frac{6}{8} in words is "six eighths".

Therefore, the solution to the problem is "six eighths".

Answer

Six eighths

Exercise #5

Write the fraction shown in the picture, in words:

Step-by-Step Solution

To solve this problem, we need to follow these steps:

  • Step 1: Understand the problem scenario using the given circle representation.
  • Step 2: Determine the number of sections, which is eight, as indicated by the circle division.
  • Step 3: Count the shaded sections, which number four.
  • Step 4: Write the fraction in words based on this information.

Steps in detail:

Step 1: The diagram shows a circle divided into eight equal parts. This step lets us determine the denominator, which is eight.

Step 2: The circle has four parts marked as shaded. This provides the numerator of the fraction, which is four.

Step 3: Therefore, the fraction can be written by combining these numbers. The numerator (shaded parts) is four, and the denominator (total sections) is eight.

Step 4: In words, we express the fraction 48\frac{4}{8} as "four eighths." This corresponds with option 3 in the choices given.

In conclusion, the fraction in the picture represented in words is four eighths.

Answer

Four eighths

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