Identify the Fraction: Blue-Shaded Section in 10-Part Grid

Fraction Representation with Grid Visualization

What part of the whole does the shaded part (blue) represent?

❤️ Continue Your Math Journey!

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

Step-by-step written solution

Follow each step carefully to understand the complete solution
1

Understand the problem

What part of the whole does the shaded part (blue) represent?

2

Step-by-step solution

To solve this problem, we will follow these steps:

  • Step 1: Count the total number of equal vertical sections in the grid.
  • Step 2: Count the number of shaded (blue) sections.
  • Step 3: Determine the fraction of the whole that is shaded.
  • Step 4: Simplify the fraction, if needed, and express it as a decimal.

Now, let's execute these steps:

Step 1: By examining the diagram, we observe there are 10 equal vertical sections in total.

Step 2: Of these sections, 2 are shaded blue.

Step 3: The fraction of the shaded area compared to the whole is 210\frac{2}{10}.

Step 4: Simplify 210\frac{2}{10} to 15\frac{1}{5}, but since we are asked to express it as part of 10 parts, 210\frac{2}{10} remains an accurate choice. The decimal equivalent is 0.20.2.

Therefore, the shaded part of the whole is 210\frac{2}{10} or 0.20.2.

Among the given choices, the correct answer is: 210\frac{2}{10} or 0.20.2.

3

Final Answer

210 \frac{2}{10} or 0.2 0.2

Key Points to Remember

Essential concepts to master this topic
  • Rule: Count shaded parts over total equal parts
  • Technique: 2 blue sections out of 10 total = 210 \frac{2}{10}
  • Check: Convert to decimal: 210=0.2 \frac{2}{10} = 0.2

Common Mistakes

Avoid these frequent errors
  • Counting unequal sections or misidentifying shaded areas
    Don't count sections that aren't the same size or miss partially shaded areas = wrong fraction! This leads to incorrect denominators or numerators. Always ensure all sections are equal and carefully identify which sections are completely shaded.

Practice Quiz

Test your knowledge with interactive questions

Write the following fraction as a decimal:

\( \frac{5}{100}= \)

FAQ

Everything you need to know about this question

Why can't I simplify 210 \frac{2}{10} to 15 \frac{1}{5} ?

+

You can simplify it! Both 210 \frac{2}{10} and 15 \frac{1}{5} are correct. The question asks for the fraction based on the 10-part grid, so 210 \frac{2}{10} directly shows what you see.

How do I know if a section counts as shaded?

+

A section is shaded if it's completely filled with the blue color. Look carefully at the grid - only count sections that are entirely blue, not partially colored or just outlined.

What's the difference between 210 \frac{2}{10} and 0.2?

+

They represent the same value in different forms! 210 \frac{2}{10} is the fraction form, while 0.2 is the decimal form. Both are correct ways to express the same part of the whole.

Do I always put the shaded parts as the numerator?

+

Yes! In fractions representing parts of a whole, the numerator (top number) is always the number of parts you're focusing on, and the denominator (bottom number) is the total number of equal parts.

What if the grid had different colors shaded?

+

Focus only on the specific color mentioned in the question. If it asks for 'blue-shaded,' count only the blue sections. Other colors would be counted separately or ignored depending on what the question asks.

🌟 Unlock Your Math Potential

Get unlimited access to all 18 Decimal Fractions - Basic 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