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

What is the marked part?

❤️ Continue Your Math Journey!

We have hundreds of course questions with personalized recommendations + Account 100% premium

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
1

Understand the problem

What is the marked part?

2

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 Number of Red RectanglesTotal Number of Rectangles=810 \frac{\text{Number of Red Rectangles}}{\text{Total Number of Rectangles}} = \frac{8}{10} .

This fraction simplifies to 45 \frac{4}{5} , but the answer provided is in the form 810 \frac{8}{10} , which is equivalent.

Therefore, the marked part of the diagram is 810 \frac{8}{10} .

3

Final Answer

810 \frac{8}{10}

Practice Quiz

Test your knowledge with interactive questions

What fraction does the part shaded in red represent?

🌟 Unlock Your Math Potential

Get unlimited access to all 18 Simple Fractions questions, detailed video solutions, and personalized progress tracking.

📹

Unlimited Video Solutions

Step-by-step explanations for every problem

📊

Progress Analytics

Track your mastery across all topics

🚫

Ad-Free Learning

Focus on math without distractions

No credit card required • Cancel anytime

More Questions

Click on any question to see the complete solution with step-by-step explanations