Mixed Numbers and Fractions Greater than 1: Writing fractions from drawings

Examples with solutions for Mixed Numbers and Fractions Greater than 1: Writing fractions from drawings

Exercise #1

Write the fraction shown in the drawing:

Video Solution

Step-by-Step Solution

To find the fraction represented by the shaded areas, follow these steps:

  • Step 1: Count the total number of rectangles. There are 7 rectangles in the drawing.
  • Step 2: Count the number of shaded rectangles. There are 3 shaded rectangles.
  • Step 3: Form the fraction, using the number of shaded rectangles as the numerator and the total number of rectangles as the denominator.

Therefore, the fraction of the drawing that is shaded is 37 \frac{3}{7} .

This value corresponds to option 4 in the provided choices, confirming 37 \frac{3}{7} is the correct answer.

Answer

37 \frac{3}{7}

Exercise #2

Write the fraction shown in the drawing:

Video Solution

Step-by-Step Solution

To determine the fraction illustrated in the drawing, we must follow these procedures:

  • Step 1: Count the Total Number of Parts
    Examine the drawing to determine how many equal parts the entire shape is divided into. According to the drawing, the shape is divided into a total of 6 parts.
  • Step 2: Count the Shaded Parts
    Next, count the number of parts that are shaded. From the drawing, we can identify that 3 of these parts are shaded.
  • Step 3: Write the Fraction
    The fraction is represented by placing the number of shaded parts as the numerator and the total number of parts as the denominator. Therefore, we write the fraction as 36 \frac{3}{6} .

Thus, the solution to the problem is 36 \frac{3}{6} .

Answer

36 \frac{3}{6}

Exercise #3

Write the fraction shown in the drawing:

Video Solution

Step-by-Step Solution

To solve this problem, observe the visual representation as follows:

First, we need to count the total number of equal parts shown in the drawing. By examining the entire diagram, we can see that there are a total of six rectangles.

Second, we need to count how many of these boxes are shaded. Upon reviewing, we see that four boxes are shaded.

Therefore, the fraction of the shaded boxes compared to the entire group is given by the ratio of shaded boxes over the total number of boxes.

Thus, the fraction represented by the drawing is:

46 \frac{4}{6}

This corresponds to the first answer choice. Therefore, the correct answer is 46\frac{4}{6}.

Answer

46 \frac{4}{6}

Exercise #4

Write the fraction shown in the drawing:

Video Solution

Step-by-Step Solution

To solve the problem, we will follow these steps:

  • Step 1: Count the total number of equal parts shown in the drawing.
  • Step 2: Count the number of shaded parts in the drawing.
  • Step 3: Form the fraction using the number of shaded parts over the total number of parts.

Now, let's address these steps in detail:

Step 1: Count the total equal parts.
From the drawing, it appears there are 7 equal parts.

Step 2: Count the shaded parts.
There are 5 shaded parts highlighted in the drawing.

Step 3: Write the fraction.
Now, we write the fraction as:
57\frac{5}{7}

This fraction represents the shaded area of the total, therefore the solution to the problem is 57\frac{5}{7}.

Answer

57 \frac{5}{7}

Exercise #5

Write the fraction shown in the drawing:

Video Solution

Step-by-Step Solution

The problem involves finding the fraction represented by shaded parts in a drawing. Here's a step-by-step guide to solve it:

  • Step 1: Count the total number of sections in the drawing. There are 7 blocks arranged linearly.
  • Step 2: Since each block appears to be fully shaded, count those shaded. Each of the 7 blocks is shaded.
  • Step 3: The fraction is formed by placing the number of shaded sections over the total sections. Thus, the fraction is 77\frac{7}{7}.

The fraction for the shaded portion of the drawing is 77\frac{7}{7}, which is a complete whole, as every block is shaded.

Therefore, the solution to the problem is 77\frac{7}{7}.

Answer

77 \frac{7}{7}

Exercise #6

Write the fraction shown in the drawing:

Video Solution

Step-by-Step Solution

To solve this problem, we need to determine the fraction represented by the shaded area of a circle.

The diagram shows a circle divided into two equal parts. One of these parts is shaded.

Fractions are expressed as the part over the whole. Here, the shaded section represents one part, while the total sections are two. Therefore, the fraction representing the shaded portion is 12 \frac{1}{2} .

Therefore, the solution to the problem is 12 \frac{1}{2} .

Answer

12 \frac{1}{2}

Exercise #7

Write the fraction shown in the drawing:

Video Solution

Step-by-Step Solution

The task is to interpret a fraction from a diagram of a circle divided into sections, with some of those sections shaded. Our goal is to express that shading as a fraction in the form Number of Shaded SectionsTotal Number of Sections\frac{\text{Number of Shaded Sections}}{\text{Total Number of Sections}}.

Here are the steps:

  • Step 1: Count the Total Number of Sections
    We need to identify how many sections the whole circle is divided into. By examining the diagram, the circle is divided into 8 equal sections.
  • Step 2: Count the Number of Shaded Sections
    Next, we count the sections that are shaded. The visual shows 2 sections that are shaded.
  • Step 3: Write the Fraction
    Based on our counts, the fraction representing the shaded area is 28\frac{2}{8}, where 2 is the numerator (shaded sections) and 8 is the denominator (total sections).

Therefore, the solution to the problem is 28\frac{2}{8}.

Answer

28 \frac{2}{8}

Exercise #8

Write the fraction shown in the drawing:

Video Solution

Step-by-Step Solution

To solve this problem, we need to understand the fraction represented by the shaded area in the given drawing.

The circle in the drawing is divided into four equal parts. Out of these, three parts are shaded. To express this scenario as a fraction, we count the parts:

  • Total Parts: The circle is divided into 4 equal segments, so the denominator of the fraction is 4.
  • Shaded Parts: There are 3 shaded segments, so the numerator of the fraction is 3.

The fraction that represents the shaded area is therefore given by:

34 \frac{3}{4}

Thus, the solution to this problem is 34\frac{3}{4}. This matches choice number 4 from the given options.

Therefore, the fraction represented by the shaded area is 34\frac{3}{4}.

Answer

34 \frac{3}{4}

Exercise #9

Write the fraction shown in the drawing:

Video Solution

Step-by-Step Solution

The goal is to determine the fraction represented by the shaded portions of a circle. To do this, follow the steps below:

  • Step 1: Count the total number of equal sections within the circle. In this diagram, the circle is divided into eight equal parts.
  • Step 2: Count the number of sections that are shaded. There are five parts that are shaded.
  • Step 3: Write the fraction as the number of shaded parts out of the total number of parts. Hence, the fraction is 58\frac{5}{8}.

In conclusion, the fraction corresponding to the shaded sections is 58\frac{5}{8}.

Answer

58 \frac{5}{8}

Exercise #10

Write the fraction shown in the drawing:

Video Solution

Step-by-Step Solution

To solve this problem, we will follow these steps:

  • Step 1: Count the total number of equal sections in the circle.
  • Step 2: Count the number of shaded sections in the circle.
  • Step 3: Form a fraction with the number of shaded sections as the numerator and the total number of sections as the denominator.

Now, let's work through each step:

Step 1: The circle is divided into 8 equal sections. This is our total number of parts, which will be the denominator of our fraction.

Step 2: Count the number of shaded sections. The drawing shows 4 sections shaded out of 8 total sections.

Step 3: Using the formula for a fraction Number of shaded partsTotal number of parts\frac{\text{Number of shaded parts}}{\text{Total number of parts}}, we find the fraction: 48\frac{4}{8}.

Comparing this with the provided choices, we see that 48\frac{4}{8} is one of the options.

Therefore, the solution to the problem is 48\frac{4}{8}.

Answer

48 \frac{4}{8}

Exercise #11

Write the fraction shown in the drawing:

Video Solution

Step-by-Step Solution

To solve this problem, let's analyze the drawing:

  • The drawing shows a large rectangle divided into 8 smaller squares of equal size, arranged in 2 rows and 4 columns.
  • One of the squares in the first row is shaded.
  • Count the total number of equal small squares: 8.
  • Identify the shaded portion: 1 square is shaded.

Thus, the fraction representing the shaded part of the drawing is:

Number of shaded partsTotal number of equal parts=18 \frac{\text{Number of shaded parts}}{\text{Total number of equal parts}} = \frac{1}{8}

The solution is therefore 18\frac{1}{8}, which matches choice 2.

Therefore, the solution to the problem is 18\frac{1}{8}.

Answer

18 \frac{1}{8}

Exercise #12

Write the fraction shown in the drawing:

Video Solution

Step-by-Step Solution

To solve this problem, we will represent the fraction depicted by the shaded parts of the grid.

First, observe that we have a grid that is divided into 8 equal sections (since we have a 2x4 grid, indicating 2 rows and 4 columns). This makes the total number of parts 88.

Next, count the number of shaded sections. From the illustration, 3 out of these 8 sections are shaded.

Thus, the fraction represented by the shaded sections of the grid is 38\frac{3}{8}.

Therefore, the solution to the problem is 38\frac{3}{8}.

Answer

38 \frac{3}{8}

Exercise #13

Write the fraction shown in the drawing:

Video Solution

Step-by-Step Solution

To solve this problem, we'll analyze the fraction depicted in the drawing of shaded rectangles.

Steps to find the fraction:

  • Step 1: Count the Total Number of Parts
    In the drawing, identify the number of divisions in each rectangle. It appears there are 9 total sections across all of the rectangles depicted.
  • Step 2: Count the Shaded Parts
    The number of shaded sections is key to identifying the numerator of the fraction. Count all visible shaded parts; there are 5 shaded sections in total.
  • Step 3: Formulate the Fraction
    Using the standard formula for fractions, we have:
    Fraction=Number of Shaded SectionsTotal Number of Sections\text{Fraction} = \frac{\text{Number of Shaded Sections}}{\text{Total Number of Sections}}
    Using our counted numbers, 59\frac{5}{9}.

Therefore, the fraction represented by the shaded sections in the drawing is 59\frac{5}{9}.

Answer

59 \frac{5}{9}

Exercise #14

Write the fraction shown in the drawing:

Video Solution

Step-by-Step Solution

To solve the problem, we need to follow a simple approach to counting and forming fractions:

  • First, identify the whole shape (the total number of sections that the shape is divided into).
  • Next, count the number of sections that are shaded.
  • Form the fraction by using the number of shaded parts as the numerator and the total number of parts as the denominator.

Looking into the drawing provided:

  • The shape is divided into 9 equal total sections.
  • Out of these, 7 sections are shaded.

Therefore, the fraction representing the shaded area of the shape is:
79 \frac{7}{9}

Hence, the solution to the problem is 79 \frac{7}{9} .

Answer

79 \frac{7}{9}

Exercise #15

Write the fraction shown in the drawing:

Video Solution

Step-by-Step Solution

To solve the problem, we need to determine the fraction represented by the shaded and unshaded areas in the drawing.

  • Step 1: By closely examining the provided drawing, we note the arrangement of rectangles or sections.
  • Step 2: Count the number of fully shaded (red-colored) rectangles.
  • Step 3: Count the total number of rectangles in the drawing, both shaded and unshaded (i.e., all rectangles present).
  • Step 4: Form a fraction with the number of shaded rectangles as the numerator and the total number of rectangles as the denominator.
  • Step 5: Check for any interpretation errors and ensure all rectangles are counted properly.

Upon examining the given drawing:

  • There are 10 rectangles in total.
  • All 10 rectangles are shaded, implying the entire set is filled.

The resulting fraction is 1010\frac{10}{10}, which is derived by setting the numerator (shaded) equal to the denominator (total). This represents a whole fraction value of 1.

Therefore, the fraction shown in the drawing is 1010\frac{10}{10}.

Upon comparing with provided multiple-choice options, the correct choice is option 3, 1010\frac{10}{10}.

Answer

1010 \frac{10}{10}