Convert Visual Grid to Fraction: Interpreting 4 Shaded Squares

Visual Fraction Representation with Grid Models

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
00:03 Let's convert the picture into a fraction.
00:06 First, count all the sections. This is your denominator.
00:14 Next, count the colored sections. This is your numerator.
00:19 And that's how we find the fraction. Great job!

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, 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}.

3

Final Answer

46 \frac{4}{6}

Key Points to Remember

Essential concepts to master this topic
  • Count Rule: Denominator equals total parts, numerator equals shaded parts
  • Technique: Count systematically: 6 total squares, 4 shaded = 46 \frac{4}{6}
  • Check: Verify shaded parts plus unshaded parts equal total: 4 + 2 = 6 ✓

Common Mistakes

Avoid these frequent errors
  • Counting only shaded parts for denominator
    Don't use only the 4 shaded squares as denominator = 44 \frac{4}{4} = 1! This means the whole thing is shaded, but clearly 2 squares are unshaded. Always count ALL parts (shaded + unshaded) for the denominator.

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 parts in the whole figure. Count every single square or section, whether it's shaded or not!

What if some squares look different sizes?

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Only count squares that are equal in size. In this problem, all 6 rectangles are the same size, so they all count as valid parts.

Can I simplify the fraction 4/6?

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Yes! 46=23 \frac{4}{6} = \frac{2}{3} when simplified. Both forms are correct, but simplified fractions are usually preferred.

What if I counted wrong and got a different total?

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Count again carefully! Go left to right, or use your finger to point at each square. There should be exactly 6 squares total in this grid.

Why isn't the answer 4/8 since there are 8 possible spaces?

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Look carefully at the actual grid - it shows only 6 rectangles, not 8. The visual determines the total, not what you might expect to see.

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