Examples with solutions for Fractions as Divisors: Writing a fraction verbally

Exercise #1

Write the fraction shown in the picture, in words:

Step-by-Step Solution

To solve this problem, we need to convert the visual representation of a fraction into words. Let's break down the process step by step:

Step 1: Identify the given visual information

The given image is a circle, which represents a whole. It has two distinct halves divided by a vertical line. One half is shaded, which indicates the fraction that we need to express in words.

Step 2: Determine the fraction represented

Given that one half of the circle is shaded, it indicates that this is one part of two equal parts.

Step 3: Write the fraction in words

The fraction that corresponds to one out of two equal parts is 12 \frac{1}{2} , expressed in words as "half."

Therefore, the fraction shown in the picture, expressed in words, is Half.

Answer

Half

Exercise #2

Write the fraction shown in the picture, in words:

Step-by-Step Solution

To solve this problem, we'll follow these steps:

  • Step 1: Analyze the given visual representation.
  • Step 2: Identify the fraction and convert it into words.

Initially, we examine the circle in the provided graphic, which is divided into three equal parts. Two of these parts are shaded.

Step 1: Count the sections. There are three sections in total, which means the denominator of the fraction is 3. Two of these sections are shaded, so the numerator is 2.

Step 2: Translate the numeric fraction 23\frac{2}{3} into words.
The word representation of 23\frac{2}{3} is "two thirds."

Thus, the answer to this problem is two thirds.

Answer

Two thirds

Exercise #3

Write the fraction shown in the picture, in words:

Step-by-Step Solution

To solve this problem, we'll visually interpret the pie chart provided:

  • Step 1: Count the divisions of the circle in the pie chart.
  • Step 2: Identify the proportion of the circle that is shaded.
  • Step 3: Translate this fraction into words.

Let's work through these steps:

Step 1: The circle (pie chart) is divided into three equal parts. This division is typical for pie charts expressing fractions.

Step 2: Out of the three divisions, one segment is shaded. This visually represents the fraction 13\frac{1}{3} of the whole circle.

Step 3: The fraction 13\frac{1}{3} is pronounced as "one third" in words.

Thus, the fraction shown in the picture is correctly expressed in words as One third.

Answer

One third

Exercise #4

Write the fraction shown in the picture, in words:

Step-by-Step Solution

To solve this problem, we need to accurately describe the fraction as seen in the image:

  • The circle is divided into three equal parts.
  • All three parts are shaded.
  • This division represents the fraction 33\frac{3}{3}.

Let's translate this fraction into words:

Since the numerator is 3, and the denominator also is 3, the fraction is read as "three thirds" because all parts are shaded, representing a whole.

Thus, the correct verbal representation of the fraction in the picture is three thirds.

Answer

Three thirds

Exercise #5

Write the fraction shown in the picture, in words:

Step-by-Step Solution

To solve this problem, let's follow these steps:

  • Step 1: Observe the illustration of the circle within the image. It utilizes both shaded and unshaded segments to represent a fraction.
  • Step 2: Count the total divisions of the circle. The image demonstrates the circle divided into 4 parts.
  • Step 3: Identify the shaded sections within the circle, which are 2 in total.
  • Step 4: Formulate the mathematical fraction, which is 24\frac{2}{4}.
  • Step 5: Convert this fraction into words for clarity. The fraction 24\frac{2}{4} is articulated as "Two quarters".

Thus, the fraction displayed in the image is verbally expressed as Two quarters.

Answer

Two quarters

Exercise #6

Choose the answer that describes in words the fraction shaded in pink:

Step-by-Step Solution

To solve this problem, we'll follow these steps:

  • Step 1: Count the number of parts that are shaded in pink.
  • Step 2: Count the total number of equal parts into which the circle is divided.
  • Step 3: Express the fraction represented by the shaded parts of the whole circle.
  • Step 4: Convert this fraction into words.
  • Step 5: Identify the correct choice from the given options.

Now, let's work through each step:

Step 1: The diagram shows that three parts of the circle are shaded in pink.

Step 2: The circle is divided into four equal parts.

Step 3: The fraction of the circle that is shaded is 34\frac{3}{4}.

Step 4: The fraction 34\frac{3}{4} can be written in words as "three quarters".

Step 5: The correct choice from the options provided is Three quarters.

Therefore, the verbal description of the fraction shaded in pink is Three quarters.

Answer

Three quarters

Exercise #7

Write the fraction shown in the picture, in words:

Step-by-Step Solution

To solve this problem, we will follow these steps:

  • Step 1: Analyze the given circle, which is evenly divided.
  • Step 2: Identify the total number of segments, which equals the denominator of our fraction.
  • Step 3: Count the number of shaded segments to find the numerator of our fraction.
  • Step 4: Convert this fraction into a verbal expression, or words.

Now, let's work through each step:

Step 1: Observe that the circle is divided into equal segments. Generally, such diagrams show a complete circle as the total parts.

Step 2: The circle in the image is visibly divided into 8 equal parts. Thus, the denominator of our fraction is 88.

Step 3: Count the shaded parts within the circle. From the image, 3 parts are shaded.

Step 4: Therefore, the numerator is 33. We write the fraction 38\frac{3}{8} in words, which is "three eighths".

Thus, the solution to the problem is: Three eighths, corresponding to choice 4.

Answer

Three eighths

Exercise #8

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

Exercise #9

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 #10

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 #11

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 #12

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