Identify Marked Parts: Analyzing Red-Shaded Rectangles in a Grid Pattern

Q: How do I know which parts to count as the total?

Count every single rectangle in the grid, both shaded and unshaded. The total includes all parts that make up the whole figure, not just the marked ones.

Q: Should I simplify the fraction 8/10?

While $ \frac{8}{10} $ simplifies to $ \frac{4}{5} $, the question asks for the marked part as shown. Both answers are mathematically correct, but match the format requested in the answer choices.

Q: What if some rectangles look different sizes?

In this grid, each rectangle represents one equal unit. Even if they appear slightly different due to drawing, treat each outlined rectangle as one part when counting.

Q: How can I avoid miscounting?

Use a systematic approach: count from left to right, or mark each rectangle as you count it. For shaded parts, count only the red-colored rectangles.

Q: Why isn't the answer 6/10?

Count carefully! There are 8 red rectangles, not 6. The two unshaded (white) rectangles in the middle are not part of the marked portion.

Fraction Representation with Visual Grids

What is the marked part?

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Step-by-step video solution

Watch the teacher solve the problem with clear explanations

00:00 Find the marked part

00:03 Let's count the colored amount

00:09 Place this amount in the numerator

00:13 Now let's count the number of parts that divide the whole

00:22 Place this number in the denominator

00:28 And this is the solution to the question

Step-by-step written solution

Follow each step carefully to understand the complete solution

Understand the problem

What is the marked part?

Step-by-step solution

To determine the marked part, we need to calculate the fraction of the diagram that is shaded red.

First, we count the total number of rectangles in the diagram. There are 10 rectangles visible along a straight line.

Next, we count the number of rectangles shaded red. There are 8 red rectangles in the diagram.

Therefore, the fraction of the total diagram that is marked red is calculated as $\frac{\text{Number of Red Rectangles}}{\text{Total Number of Rectangles}} = \frac{8}{10}$ .

This fraction simplifies to $\frac{4}{5}$ , but the answer provided is in the form $\frac{8}{10}$ , which is equivalent.

Therefore, the marked part of the diagram is $\frac{8}{10}$ .

Final Answer

$\frac{8}{10}$

Key Points to Remember

Essential concepts to master this topic

Visual Count: Count shaded parts and total parts to form fraction
Technique: Count 8 red rectangles out of 10 total: $\frac{8}{10}$
Check: Verify by recounting: 8 shaded + 2 unshaded = 10 total ✓

Common Mistakes

Avoid these frequent errors

Miscounting the total number of parts
Don't count only the visible squares or just the shaded ones = wrong denominator! This creates an incorrect fraction that doesn't represent the actual portion. Always count every single rectangle in the entire grid to get the correct total.

Practice Quiz

Test your knowledge with interactive questions

Without calculating, determine whether the quotient in the division exercise is less than 1 or not:

$$ 5:6= $$

FAQ

Everything you need to know about this question

How do I know which parts to count as the total?

Count every single rectangle in the grid, both shaded and unshaded. The total includes all parts that make up the whole figure, not just the marked ones.

Should I simplify the fraction 8/10?

While $\frac{8}{10}$ simplifies to $\frac{4}{5}$ , the question asks for the marked part as shown. Both answers are mathematically correct, but match the format requested in the answer choices.

What if some rectangles look different sizes?

In this grid, each rectangle represents one equal unit. Even if they appear slightly different due to drawing, treat each outlined rectangle as one part when counting.

How can I avoid miscounting?

Use a systematic approach: count from left to right, or mark each rectangle as you count it. For shaded parts, count only the red-colored rectangles.

Why isn't the answer 6/10?

Count carefully! There are 8 red rectangles, not 6. The two unshaded (white) rectangles in the middle are not part of the marked portion.

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