Mixed Numbers and Remainders Practice Problems

To convert the improper fraction $\frac{6}{2}$ into a mixed number, we need to divide the numerator by the denominator:

Step 1: Evaluate the division $6 \div 2$.
By performing this division, we find that $6 \div 2 = 3$.

Since the division results in a whole number, the mixed number equivalent of $\frac{6}{2}$ is simply $3$. Therefore, there is no fractional part remaining.

Thus, the fraction $\frac{6}{2}$ expressed as a mixed number is $3$.

The problem involves finding the fraction represented by shaded parts in a drawing. Here's a step-by-step guide to solve it:

• Step 1: Count the total number of sections in the drawing. There are 7 blocks arranged linearly.
• Step 2: Since each block appears to be fully shaded, count those shaded. Each of the 7 blocks is shaded.
• Step 3: The fraction is formed by placing the number of shaded sections over the total sections. Thus, the fraction is $\frac{7}{7}$.

The fraction for the shaded portion of the drawing is $\frac{7}{7}$, which is a complete whole, as every block is shaded.

Therefore, the solution to the problem is $\frac{7}{7}$.

To find the fraction represented by the shaded areas, follow these steps:

• Step 1: Count the total number of rectangles. There are 7 rectangles in the drawing.
• Step 2: Count the number of shaded rectangles. There are 3 shaded rectangles.
• Step 3: Form the fraction, using the number of shaded rectangles as the numerator and the total number of rectangles as the denominator.

Therefore, the fraction of the drawing that is shaded is $\frac{3}{7}$.

This value corresponds to option 4 in the provided choices, confirming $\frac{3}{7}$ is the correct answer.

To solve the problem, we will follow these steps:

• Step 1: Count the total number of equal parts shown in the drawing.
• Step 2: Count the number of shaded parts in the drawing.
• Step 3: Form the fraction using the number of shaded parts over the total number of parts.

Now, let's address these steps in detail:

Step 1: Count the total equal parts.
From the drawing, it appears there are 7 equal parts.

Step 2: Count the shaded parts.
There are 5 shaded parts highlighted in the drawing.

Step 3: Write the fraction.
Now, we write the fraction as:
$\frac{5}{7}$

This fraction represents the shaded area of the total, therefore the solution to the problem is $\frac{5}{7}$.

To determine the fraction illustrated in the drawing, we must follow these procedures:

• Step 1: Count the Total Number of Parts
  Examine the drawing to determine how many equal parts the entire shape is divided into. According to the drawing, the shape is divided into a total of 6 parts.
• Step 2: Count the Shaded Parts
  Next, count the number of parts that are shaded. From the drawing, we can identify that 3 of these parts are shaded.
• Step 3: Write the Fraction
  The fraction is represented by placing the number of shaded parts as the numerator and the total number of parts as the denominator. Therefore, we write the fraction as $\frac{3}{6}$.

Thus, the solution to the problem is $\frac{3}{6}$.