Fraction Remainder Practice Problems - Mixed Numbers & Division

Firstly, let's write out the division exercise:

$2:5$

Now, let's write it out again as a simple fraction, remembering that the numerator is on top and the denominator is on the bottom:

$\frac{2}{5}$

First, let's write out the division exercise:

$9:13$

Now let's write it as a simple fraction, remembering that the numerator is on top and the denominator is on the bottom:

$\frac{9}{13}$

First, let's write the division exercise:

$2:3$

Now let's write it as a simple fraction, remembering that the numerator is on top and the denominator is on the bottom:

$\frac{2}{3}$

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.

Note that the numerator is smaller than the denominator:

11 > 8

As a result, it can be written like this:

\frac{11}{8} > 1

Therefore, the quotient in the division problem is not less than 1.