Convert Visual Grid to Fraction: Identifying Shaded Portions

Q: How do I know what counts as one section?

Each complete square or rectangle separated by lines is one section. Look for shapes that are the same size - in this grid, there are 9 equal sections total.

Q: What if some sections look different sizes?

For fraction problems, we assume all sections are equal parts of the whole. Focus on counting distinct areas, not their visual appearance in the drawing.

Q: Should I count unshaded parts too?

Yes! Count all parts to get your denominator. Then count only the shaded parts for your numerator. Total parts = denominator, shaded parts = numerator.

Q: Why is my fraction different from the answer choices?

Double-check your counting! Make sure you're counting individual sections, not grid lines or borders. Count systematically: top row, then bottom row.

Fraction Visualization 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 Write the mathematical representation of the given fraction

00:04 In black, the number of parts into which the whole is divided (denominator)

00:14 And in red, the given number of parts (numerator)

00:18 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 solve the problem, we need to follow a simple approach to counting and forming fractions:

First, identify the whole shape (the total number of sections that the shape is divided into).
Next, count the number of sections that are shaded.
Form the fraction by using the number of shaded parts as the numerator and the total number of parts as the denominator.

Looking into the drawing provided:

The shape is divided into 9 equal total sections.
Out of these, 7 sections are shaded.

Therefore, the fraction representing the shaded area of the shape is:
$\frac{7}{9}$

Hence, the solution to the problem is $\frac{7}{9}$ .

Final Answer

$\frac{7}{9}$

Key Points to Remember

Essential concepts to master this topic

Rule: Count total parts in grid for denominator value
Technique: Count shaded sections: 7 out of 9 parts gives $\frac{7}{9}$
Check: Verify 7 shaded + 2 unshaded = 9 total sections ✓

Common Mistakes

Avoid these frequent errors

Counting only visible boundaries instead of actual sections
Don't count grid lines or partial sections = wrong total! This leads to incorrect denominators like 10 instead of 9. Always count complete, distinct sections that the shape is divided into.

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 counts as one section?

Each complete square or rectangle separated by lines is one section. Look for shapes that are the same size - in this grid, there are 9 equal sections total.

What if some sections look different sizes?

For fraction problems, we assume all sections are equal parts of the whole. Focus on counting distinct areas, not their visual appearance in the drawing.

Should I count unshaded parts too?

Yes! Count all parts to get your denominator. Then count only the shaded parts for your numerator. Total parts = denominator, shaded parts = numerator.

Why is my fraction different from the answer choices?

Double-check your counting! Make sure you're counting individual sections, not grid lines or borders. Count systematically: top row, then bottom row.

Can I simplify this fraction?

Check if the numerator and denominator share common factors. For $\frac{7}{9}$ , since 7 and 9 share no common factors, it's already in simplest form.

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