Part of an Amount Practice Problems - Fraction Word

Let's begin:

Step 1: Upon examination, the diagram divides the rectangle into 7 vertical sections.

Step 2: The entire shaded region spans the full width, essentially covering all sections, so the shaded number is 7.

Step 3: The fraction of the total rectangle that is shaded is $\frac{7}{7}$.

Step 4: Simplifying, $\frac{7}{7}$ becomes $1$.

Therefore, the solution is marked by the choice: Answers a + b.

To work out what the marked part is, we need to count how many coloured squares there are compared to how many squares there are in total.

If we count the coloured squares, we see that there are four such squares.

If we count all the squares, we see that there are seven in all.

Therefore, 4/7 of the squares are shaded in red.

Let's solve this problem step-by-step:

First, examine the grid and count the total number of sections. Observing the grid, there is a total of 6 columns, each representing equal-sized portions along the grid, as evidenced by vertical lines.

Next, count how many of these sections are colored. The entire portion from the first column to the fourth column is colored. This means we have 4 out of 6 sections that are marked red.

We can then express the colored area as a fraction: $\frac{4}{6}$.

To solve this problem, we will count the total number of equal sections in the grid and the number of these sections that the marked area covers.

• Step 1: Determine Total Sections. The grid is divided into several vertical sections. By examining the grid lines, we see that the total number of vertical sections is 7.
• Step 2: Determine Marked Sections. The marked (colored) part spans 3 of these vertical sections within the total grid.
• Step 3: Compute Fraction. The fraction of the total area covered by the marked part is calculated as the number of marked sections divided by the total number of sections: $\frac{3}{7}$.

Therefore, the fraction of the area that is marked is $\frac{3}{7}$.

To determine the fraction of the area that is shaded, we need to analyze the diagram carefully.

• Step 1: Count the total number of squares in the grid.
• Step 2: Count the number of shaded squares.
• Step 3: Calculate the fraction by dividing the number of shaded squares by the total number of squares.
• Step 4: Compare this fraction with the given choices.

Now, let's execute each step:

Step 1: The grid is structured in terms of columns and rows. Observing the entire structure, we find that there are clearly 10 columns and 1 row of squares, leading to a total of $10 \times 1 = 10$ squares in the grid.

Step 2: Each square width equals that of one column; 4 shaded sections fill up to 5 sections of columns horizontally:

• Two small shaded squares (1 width) plus one square is completely filled as part of two columns, making up 2 columns in total.
• One large shaded rectangle (5 width) fully occupies the width of a large single square (2 columns), counting as 5 columns (2 + 3 more), confirming 2 + 3 column segments cover it.

Step 3: Simplifies the amount as layed means $5$ shaded parts.

Step 4: Thus, the fraction calculated is $\frac{5}{10}$, which simplifies to $\frac{1}{2}$.

The correct answer choice corresponds to choices b and c as $\frac{5}{10}$ and $\frac{1}{2}$ are equivalent by simplification.

Therefore, the answer is:

Answers b and c