A fraction is actually a division exercise! A result obtained from a division exercise is called a quotient and if it is incomplete, it will appear in the form of a fraction.

Remember the rules:
The fraction line - symbolizes the division operation.
The numerator - symbolizes the number that is being divided (the divided number - what needs to be divided equally among all).
The denominator – symbolizes the number that divides the numerator.

Practice Fractions as Divisors

Examples with solutions for Fractions as Divisors

Exercise #1

Write the fraction shown in the drawing, in numbers:

Video Solution

Step-by-Step Solution

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 2 parts, 1 part is colored.

Now let's write it and we get:

12 \frac{1}{2}

Answer

12 \frac{1}{2}

Exercise #2

Write the fraction shown in the drawing, in numbers:

Video Solution

Step-by-Step Solution

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, 2 parts are colored.

Now we'll write and get:

23 \frac{2}{3}

Answer

23 \frac{2}{3}

Exercise #3

Write the fraction shown in the drawing, in numbers:

Video Solution

Step-by-Step Solution

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.

Now let's write it and we'll get:

13 \frac{1}{3}

Answer

13 \frac{1}{3}

Exercise #4

Without calculating, determine whether the quotient in the division exercise is less than 1 or not:

5:6= 5:6=

Video Solution

Step-by-Step Solution

Note that the numerator is smaller than the denominator:

5 < 6

As a result, we can write it thusly:

\frac{5}{6} < 1

Therefore, the quotient in the division exercise is indeed less than 1.

Answer

Less than 1

Exercise #5

Without calculating, determine whether the quotient in the division exercise is less than 1 or not:

1:2= 1:2=

Video Solution

Step-by-Step Solution

Note that the numerator is smaller than the denominator:

1 < 2

As a result, we can claim that:

\frac{1}{2}<1

Therefore, the fraction in the division problem is indeed less than 1.

Answer

Yes

Exercise #6

What fraction results from dividing 8 by 13?

Video Solution

Step-by-Step Solution

Let's write out the division exercise:

8:13 8:13

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

813 \frac{8}{13}

Answer

813 \frac{8}{13}

Exercise #7

What fraction results from dividing 5 by 9?

Video Solution

Step-by-Step Solution

Let's begin by writing the division exercise:

5:9 5:9

We can now proceed to write it as a simple fraction, remembering that the numerator is on top and the denominator is on the bottom:

59 \frac{5}{9}

Answer

59 \frac{5}{9}

Exercise #8

What fraction results from dividing 2 by 5?

Video Solution

Step-by-Step Solution

Firstly, let's write out the division exercise:

2:5 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:

25 \frac{2}{5}

Answer

25 \frac{2}{5}

Exercise #9

What fraction results from dividing 9 by 13?

Video Solution

Step-by-Step Solution

First, let's write out the division exercise:

9:13 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:

913 \frac{9}{13}

Answer

913 \frac{9}{13}

Exercise #10

What fraction results from dividing 2 by 3?

Video Solution

Step-by-Step Solution

First, let's write the division exercise:

2:3 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:

23 \frac{2}{3}

Answer

23 \frac{2}{3}

Exercise #11

My numerator is 5 and my denominator is 8.

Which fraction am I?

Video Solution

Step-by-Step Solution

Remember that the numerator is the number at the top of the fraction, whilst the denominator is the number at the bottom of the fraction.

If we place the given values accordingly we should obtain the following:

58 \frac{5}{8}

Answer

58 \frac{5}{8}

Exercise #12

My numerator is 6 and my denominator is 7.

Which am I?

Step-by-Step Solution

Remember that the numerator of the fraction is the top half, whilst the denominator of the fraction is the bottom half.

If we position them accordingly we should obtain the following:

67 \frac{6}{7}

Answer

67 \frac{6}{7}

Exercise #13

My numerator is 2 and my denominator is 9.

Which fraction am I?

Video Solution

Step-by-Step Solution

Let's remember that the numerator is the number at the top of the fraction, whilst the denominator is the number at the bottom of the fraction.

If we arrange the given values accordingly we should obtain the following:

29 \frac{2}{9}

Answer

29 \frac{2}{9}

Exercise #14

My numerator is 3 and my denominator is 8.

Which fraction am I?

Video Solution

Step-by-Step Solution

Let's remember that the numerator is the number at the top of the fraction , whilst the denominator is the number at the bottom of the fraction.

If we insert the given values accordingly we should obtain the following:

38 \frac{3}{8}

Answer

38 \frac{3}{8}

Exercise #15

My numerator is 8 and my denominator is 11.

Which fraction am I?

Video Solution

Step-by-Step Solution

Remember that the numerator is the number at the top of the fraction, whilst the denominator is the number at the bottom of the fraction.

If we arrange the given data accordingly we should obtain the following:

811 \frac{8}{11}

Answer

811 \frac{8}{11}

Topics learned in later sections

  1. Numerator
  2. Denominator
  3. Fractions
  4. Part of a quantity
  5. Placing Fractions on the Number Line
  6. Common denominator
  7. How do you simplify fractions?
  8. Simplification and Expansion of Simple Fractions