Grid-Based Fraction Problem: Calculate the Blue Shaded Region's Value

Q: Why is the answer 1 instead of 10?

The question asks "how much of the whole" the shaded area represents. Since all 10 squares are shaded out of 10 total squares, that's $ \frac{10}{10} = 1 $ whole unit, not 10 units!

Q: Can I write the answer as just 1 or do I need the fraction?

Both 1 and $ \frac{10}{10} $ are correct! They represent the same value - one complete whole. The fraction form shows your understanding of the grid structure.

Q: What if only some squares were shaded?

Then you'd count the shaded squares as your numerator and total squares as your denominator. For example, 7 shaded out of 10 total = $ \frac{7}{10} $.

Q: How do I know this represents the whole and not a part?

Look carefully at the grid! Every single square has the same blue shading - there are no unshaded (white) areas. When everything is shaded, it represents the complete whole.

Q: Is there a difference between 1 and 10/10?

No difference in value! $ \frac{10}{10} = 1 $ because any number divided by itself equals 1. Both expressions show that the entire grid is shaded.

Fraction Representation with Complete Grid Shading

How much of the whole does the shaded area (blue) represent?

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Step-by-step written solution

Follow each step carefully to understand the complete solution

Understand the problem

How much of the whole does the shaded area (blue) represent?

Step-by-step solution

To solve this problem, we need to assess how much of the grid is shaded:

Step 1: Notice that the grid is evenly divided into smaller, equal-sized squares.
Step 2: Observe that every single section of the grid is shaded blue, with no portions left unshaded.
Step 3: Consider that when an entire segment, like a grid, is covered entirely by shading, it represents the whole, which is equivalent to $1$ or the fraction $\frac{10}{10}$ .

Therefore, since the whole grid is shaded, the shaded area represents $1$ or $\frac{10}{10}$ of the whole.

Final Answer

$1$ or $\frac{10}{10}$

Key Points to Remember

Essential concepts to master this topic

Whole Value: When entire grid is shaded, it represents 1 complete unit
Fraction Form: 10 out of 10 squares equals $\frac{10}{10} = 1$
Check: Count total squares (10) and shaded squares (10) = same number ✓

Common Mistakes

Avoid these frequent errors

Counting individual squares as the answer
Don't count the 10 shaded squares and answer "10" = wrong unit! This gives the count, not the fractional part. Always express as a fraction of the whole: 10 shaded out of 10 total = $\frac{10}{10} = 1$ .

Practice Quiz

Test your knowledge with interactive questions

Convert into fraction form:

$$ 0.38= $$

FAQ

Everything you need to know about this question

Why is the answer 1 instead of 10?

The question asks "how much of the whole" the shaded area represents. Since all 10 squares are shaded out of 10 total squares, that's $\frac{10}{10} = 1$ whole unit, not 10 units!

Can I write the answer as just 1 or do I need the fraction?

Both 1 and $\frac{10}{10}$ are correct! They represent the same value - one complete whole. The fraction form shows your understanding of the grid structure.

What if only some squares were shaded?

Then you'd count the shaded squares as your numerator and total squares as your denominator. For example, 7 shaded out of 10 total = $\frac{7}{10}$ .

How do I know this represents the whole and not a part?

Look carefully at the grid! Every single square has the same blue shading - there are no unshaded (white) areas. When everything is shaded, it represents the complete whole.

Is there a difference between 1 and 10/10?

No difference in value! $\frac{10}{10} = 1$ because any number divided by itself equals 1. Both expressions show that the entire grid is shaded.

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