Identify the Shape with 3/4 Area Shaded in Red: Visual Fraction Analysis

Visual Fractions with Area Model Comparison

Which figure shows a shape with34 \frac{3}{4} of its area shaded in red?

❤️ 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
00:00 Choose the shape where the colored part equals the given fraction
00:03 In each shape, count the colored amount and divide by the number of parts
00:08 Compare to the given fraction, and choose the shape that equals the given fraction
00:12 And this is the solution to the question

Step-by-step written solution

Follow each step carefully to understand the complete solution
1

Understand the problem

Which figure shows a shape with34 \frac{3}{4} of its area shaded in red?

2

Step-by-step solution

To solve this problem, follow these steps:

  • Step 1: Examine each figure to determine the total number of equal parts.
  • Step 2: Identify how many parts are shaded in red for each figure.
  • Step 3: Calculate the fraction of the shaded area over the total area for each figure.
  • Step 4: Determine which figure has the fraction 34\frac{3}{4} shaded in red.

Now, let's work through these steps:

Step 1: Upon examining the figures provided:

  • Figure A is divided into 4 equal parts, with 1 part shaded.
  • Figure B is divided into 4 equal parts, with 2 parts shaded.
  • Figure C is divided into 4 equal parts, with 3 parts shaded.
  • Figure D is divided into 4 equal parts, with all 4 parts shaded.

Step 2: Calculate the shaded fraction for each figure:

  • Figure A: 14\frac{1}{4} shaded.
  • Figure B: 24=12\frac{2}{4} = \frac{1}{2} shaded.
  • Figure C: 34\frac{3}{4} shaded.
  • Figure D: 44=1\frac{4}{4} = 1 shaded.

Step 3: Identify which figure has 34\frac{3}{4} of its area shaded:

  • Only Figure C has 34\frac{3}{4} of its area shaded in red.

Therefore, the solution to the problem is that Figure C correctly shows 34\frac{3}{4} of its area shaded in red.

3

Final Answer

Key Points to Remember

Essential concepts to master this topic
  • Count Parts: Identify total equal parts and shaded regions
  • Convert to Fraction: Shaded parts over total parts = 3 out of 4 = 34 \frac{3}{4}
  • Verify: Check that exactly three-fourths of the total area is red ✓

Common Mistakes

Avoid these frequent errors
  • Counting unequal or overlapping parts
    Don't count parts that aren't the same size or count the same area twice = wrong fraction! Each part must be exactly equal in area. Always ensure the shape is divided into equal-sized sections before counting.

Practice Quiz

Test your knowledge with interactive questions

What is the marked part?

FAQ

Everything you need to know about this question

How do I know if the parts are equal?

+

Look for identical shapes and sizes. In rectangles divided by straight lines, each section should have the same dimensions. If they look different sizes, the parts aren't equal!

What if I see a shape that looks like 3/4 but isn't divided into 4 parts?

+

The denominator must match the total number of equal parts. If you see 6 parts with 4.5 shaded, that's not 34 \frac{3}{4} - you need exactly 4 equal parts with 3 shaded.

Can the shaded parts be separated from each other?

+

Yes! The three shaded parts don't need to touch each other. What matters is that exactly 3 out of 4 equal parts are red, regardless of their position.

What if I accidentally pick the wrong figure?

+

Always double-check by counting: total parts in denominator, shaded parts in numerator. Write out each fraction like 14 \frac{1}{4} , 24 \frac{2}{4} , etc., then compare to 34 \frac{3}{4} .

Why does Figure C show 3/4 and not the others?

+

Figure C has 4 equal squares with exactly 3 shaded red. Figure A has 1/4, Figure B has 2/4, and Figure D has 4/4 (completely shaded). Only Figure C matches 34 \frac{3}{4} !

🌟 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

More Questions

Click on any question to see the complete solution with step-by-step explanations