Grid Pattern Analysis: Identifying Marked Squares in a 10-Unit Sequence

Q: How do I make sure I count all the squares correctly?

Count systematically! Go from left to right across each row, or count each column from top to bottom. In this grid, there are 10 equal squares total, with 4 shaded ones.

Q: Can I simplify 4/10 to a simpler fraction?

Yes! $ \frac{4}{10} = \frac{2}{5} $ when you divide both numerator and denominator by their greatest common factor of 2. Both forms are correct!

Q: What if I count a different number of marked squares?

Double-check by looking for the shaded/colored areas in the grid. In this problem, there are exactly 4 marked squares out of 10 total squares.

Q: How is this different from other fraction problems?

Grid models give you a visual representation of fractions! Instead of abstract numbers, you can see what fraction of the whole is marked, making the concept more concrete.

Fraction Representation with Visual Grid Models

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

00:02 First, look for the part that's marked.

00:06 Great! Let's count how many are colored.

00:10 Place this number at the top, called the numerator.

00:14 Now, let's count the total number of parts making up the whole.

00:24 This number goes at the bottom, known as the denominator.

00:28 And there you have it! That's your solution.

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 solve the problem of finding the fraction of the marked part in the grid:

The grid consists of a series of squares, each of equal size. The task is to count how many squares are marked compared to the entire grid.

First, count the total number of squares in the entire grid.
Next, count the number of marked (colored) squares.
Then, calculate the fraction of the marked part by dividing the number of marked squares by the total number of squares.

Let's perform these steps:

The grid displays several rows of columns. Visually, there appear to be a total of 10 squares in one row with corresponding columns, forming a grid.

Count the marked squares from the provided SVG graphic:

There are 4 shaded (marked) regions.

Total squares: 10 (lines are shown for organizing squares, as seen).

Calculate the fraction:

$\frac{\text{marked squares}}{\text{total squares}} = \frac{4}{10}$

Thus, the marked part of the shape can be given as a fraction: $\frac{4}{10}$ .

Final Answer

$\frac{4}{10}$

Key Points to Remember

Essential concepts to master this topic

Grid Analysis: Count total squares first, then count marked squares
Fraction Formation: Marked squares become numerator, total squares become denominator: 4/10
Verification: Check by counting each marked square individually matches your fraction ✓

Common Mistakes

Avoid these frequent errors

Miscounting the total number of squares in the grid
Don't just count the marked squares and guess the total = wrong denominator! This leads to incorrect fractions like 4/8 instead of 4/10. Always count every single square in the entire grid systematically, row by row or column by column.

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 make sure I count all the squares correctly?

Count systematically! Go from left to right across each row, or count each column from top to bottom. In this grid, there are 10 equal squares total, with 4 shaded ones.

What if the squares look different sizes in the image?

The visual display might make squares appear different, but they represent equal units. Focus on counting the number of distinct square regions, not their visual appearance on screen.

Can I simplify 4/10 to a simpler fraction?

Yes! $\frac{4}{10} = \frac{2}{5}$ when you divide both numerator and denominator by their greatest common factor of 2. Both forms are correct!

What if I count a different number of marked squares?

Double-check by looking for the shaded/colored areas in the grid. In this problem, there are exactly 4 marked squares out of 10 total squares.

How is this different from other fraction problems?

Grid models give you a visual representation of fractions! Instead of abstract numbers, you can see what fraction of the whole is marked, making the concept more concrete.

🌟 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