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

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

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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

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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.

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Final Answer

Practice Quiz

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Without calculating, determine whether the quotient in the division exercise is less than 1 or not:

\( 5:6= \)

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