Grid-Based Fraction Identification: Converting Shaded Regions to Numbers

Visual Fraction Identification with Grid Representations

Write the fraction shown in the drawing:

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Step-by-step video solution

Watch the teacher solve the problem with clear explanations
00:00 Write the mathematical representation of the given fraction
00:04 In black, the number of parts into which the whole is divided (denominator)
00:13 And in red, the given number of parts (numerator)
00:19 And this is the solution to the question

Step-by-step written solution

Follow each step carefully to understand the complete solution
1

Understand the problem

Write the fraction shown in the drawing:

2

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}.

3

Final Answer

38 \frac{3}{8}

Key Points to Remember

Essential concepts to master this topic
  • Foundation: Count total sections to find the denominator value
  • Technique: Count shaded parts for numerator: 3 shaded sections
  • Verification: Double-check by counting: 3 out of 8 total sections = 38 \frac{3}{8}

Common Mistakes

Avoid these frequent errors
  • Miscounting the total number of grid sections
    Don't just guess the total sections = wrong denominator! Students often see a 2×4 grid but count incorrectly or get confused by the visual layout. Always systematically count each individual section: 2 rows × 4 columns = 8 total sections.

Practice Quiz

Test your knowledge with interactive questions

Write the fraction as a mixed number:

\( \frac{10}{7}= \)

FAQ

Everything you need to know about this question

How do I know what the denominator should be?

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The denominator is always the total number of equal sections in the grid. Count carefully: this 2×4 grid has 8 total sections, so the denominator is 8.

What if some sections look different sizes?

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All sections in a proper fraction grid are equal in size. If they look different, it might be the visual perspective. Focus on counting the number of sections, not their apparent size.

Do I need to simplify the fraction?

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Always check if your fraction can be simplified! For 38 \frac{3}{8} , since 3 and 8 share no common factors other than 1, it's already in simplest form.

What if I counted the shaded sections wrong?

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Go back and count systematically! Point to each shaded section and count: "1, 2, 3..." Don't rush - accuracy is more important than speed.

Can the answer be an improper fraction?

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In grid problems, you typically won't get improper fractions since you can't shade more sections than exist. The numerator should always be less than or equal to the denominator.

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