Convert Grid to Fraction: Identify the 3/6 Shaded Ratio

Q: How do I make sure I'm counting the grid squares correctly?

Count systematically from left to right! In this grid, there are 6 equal rectangles total. Point to each one as you count: 1, 2, 3, 4, 5, 6.

Q: What if I can't tell which parts are shaded?

Look for the darker colored areas or areas with different shading patterns. In this problem, 3 squares have the reddish shading while 3 remain unshaded.

Q: Why isn't my answer 1/2 even though half are shaded?

While $ \frac{3}{6} $ does equal $ \frac{1}{2} $, you should write the fraction that directly matches what you see: 3 shaded out of 6 total parts.

Q: Should I simplify the fraction?

For visual fraction problems, write what you actually observe first. The question asks for "the fraction shown in the drawing," which is $ \frac{3}{6} $ based on direct counting.

Visual Fractions with Grid Counting

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 Convert from visual representation to mathematical representation of the fraction

00:03 Count the division cells of the whole (denominator)

00:11 Count the number of colored parts (numerator)

00:17 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

Write the fraction shown in the drawing:

Step-by-step solution

To determine the fraction illustrated in the drawing, we must follow these procedures:

Step 1: Count the Total Number of Parts
Examine the drawing to determine how many equal parts the entire shape is divided into. According to the drawing, the shape is divided into a total of 6 parts.
Step 2: Count the Shaded Parts
Next, count the number of parts that are shaded. From the drawing, we can identify that 3 of these parts are shaded.
Step 3: Write the Fraction
The fraction is represented by placing the number of shaded parts as the numerator and the total number of parts as the denominator. Therefore, we write the fraction as $\frac{3}{6}$ .

Thus, the solution to the problem is $\frac{3}{6}$ .

Final Answer

$\frac{3}{6}$

Key Points to Remember

Essential concepts to master this topic

Rule: Fraction equals shaded parts over total parts
Technique: Count carefully: 3 shaded squares out of 6 total squares
Check: Verify by recounting both shaded and total parts ✓

Common Mistakes

Avoid these frequent errors

Miscounting the total number of parts
Don't count just the visible lines or assume the grid size = wrong denominator! Students often miscount 6 squares as 5 or 7. Always count each individual square systematically from left to right.

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 make sure I'm counting the grid squares correctly?

Count systematically from left to right! In this grid, there are 6 equal rectangles total. Point to each one as you count: 1, 2, 3, 4, 5, 6.

What if I can't tell which parts are shaded?

Look for the darker colored areas or areas with different shading patterns. In this problem, 3 squares have the reddish shading while 3 remain unshaded.

Why isn't my answer 1/2 even though half are shaded?

While $\frac{3}{6}$ does equal $\frac{1}{2}$ , you should write the fraction that directly matches what you see: 3 shaded out of 6 total parts.

Should I simplify the fraction?

For visual fraction problems, write what you actually observe first. The question asks for "the fraction shown in the drawing," which is $\frac{3}{6}$ based on direct counting.

What if the shaded parts aren't next to each other?

It doesn't matter where the shaded parts are located! Just count how many are shaded total. In this grid, 3 squares are shaded regardless of their positions.

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