Fraction Remainder Practice Problems - Mixed Numbers & Division

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.

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: $\frac{4}{6}$.

Step 1: Count the total sections
The circle is divided into 8 equal sections.
Step 2: Count the shaded sections
There are 6 shaded sections in the diagram.
Step 3: Formulate the fraction
The fraction of the shaded area is $\frac{6}{8}$.
Step 4: Express in words
The fraction $\frac{6}{8}$ in words is "six eighths".

Therefore, the solution to the problem is "six eighths".

The number of parts in the circle represents the denominator of the fraction, and the number of colored parts represents the numerator.

The circle is divided into 12 parts, 6 parts are colored.

$\frac{6}{12}=\frac{1}{2}$

The number of parts in the circle represents the denominator of the fraction, and the number of colored parts represents the numerator.

The circle is divided into 3 parts, 1 part is colored.

Hence:

$\frac{1}{3}$