Part of an Amount: Visual representation of a fraction

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 $\frac{3}{4}$ 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: $\frac{1}{4}$ shaded.
• Figure B: $\frac{2}{4} = \frac{1}{2}$ shaded.
• Figure C: $\frac{3}{4}$ shaded.
• Figure D: $\frac{4}{4} = 1$ shaded.

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

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

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

To solve this problem, we'll follow these steps:

• Step 1: For each shape, count the total number of equal segments.
• Step 2: Count the number of segments that are painted.
• Step 3: Calculate the fraction of the painted area by dividing the number of painted segments by the total number of segments.
• Step 4: Identify the shape where the fraction of painted area is $\frac{2}{5}$.

Now, let's work through each step:

Step 1: Let's examine the shapes given in the choices.

Step 2: For choice 3, the shape has 5 equal segments. Two of these segments are painted.

Step 3: Calculate the fraction for choice 3:

$\frac{\text{Number of painted parts}}{\text{Total number of parts}} = \frac{2}{5}$

Step 4: Therefore, choice 3 is the correct shape with $\frac{2}{5}$ of the area painted.

Therefore, the solution to the problem is the shape from choice 3, where $\frac{2}{5}$ of the area is painted.

To solve this problem, we'll determine which shape has a fraction of $\frac{2}{7}$ of its sections painted:

• Step 1: Analyze the given choices to determine the total number of sections in each shape.
• Step 2: Count the number of painted sections in each shape.
• Step 3: Calculate the fraction of painted sections for each shape.
• Step 4: Identify which, if any, of the fractions is equal to $\frac{2}{7}$.

Let's go through these steps with the shapes provided:

Choice 1: This shape is divided into 5 sections (3 empty, 2 painted):

The fraction of painted sections $= \frac{2}{5}$.

Choice 2: This shape is divided into 7 sections (5 empty, 2 painted):

The fraction of painted sections $= \frac{2}{7}$.

Choice 3: This shape is divided into 7 sections, same as choice 2:

The fraction of painted sections $= \frac{2}{7}$.

Choice 4: This shape is divided into 7 sections (5 empty, 2 painted):

The fraction of painted sections $= \frac{2}{7}$.

Both Choice 2 and Choice 4 have exactly the fraction $\frac{2}{7}$ of the sections painted. Since we are looking for one choice, we’ll choose the first (Choice 2) based on its placement in the sequence.

Therefore, the shape which represents a fraction of the painted part of $\frac{2}{7}$ is found in Choice 2.