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

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 #2

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 #3

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 #4

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 #5

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}

Exercise #6

Solve the following:

105= \frac{10}{5}=

Step-by-Step Solution

First we will divide the numerator and denominator by the highest number that both are divisible by.

In this case, the number is 5.

Then we will divide the fraction as follows:

10:55:5=21=2 \frac{10:5}{5:5}=\frac{2}{1}=2

Answer

2 2

Exercise #7

Solve the following:

1313= \frac{13}{13}=

Step-by-Step Solution

First, we will divide the numerator and denominator by the highest number that both are divisible by.

In this case, the number is 13.

Then we will divide the fraction as follows:

13:1313:13=11=1 \frac{13:13}{13:13}=\frac{1}{1}=1

Answer

1 1

Exercise #8

Solve the following:

218= \frac{2}{18}=

Step-by-Step Solution

First we will divide the numerator and denominator by the highest number that both are divisible by.

In this case, the number is 2

Then we will divide the fraction as follows:

2:218:2=19 \frac{2:2}{18:2}=\frac{1}{9}

Answer

19 \frac{1}{9}

Exercise #9

Solve the following:

2929= \frac{29}{29}=

Step-by-Step Solution

First we will divide the numerator and denominator by the highest number that both are divisible by.

In this case, the number is 29.

Then we will divide the fraction as follows:

29:2929:29=11=1 \frac{29:29}{29:29}=\frac{1}{1}=1

Answer

1 1

Exercise #10

Solve the following:

34= \frac{3}{4}=

Step-by-Step Solution

We will divide the numerator and denominator by the highest number that both are divisible by.

In this case, there is no number by which we can divide, so the fraction will remain as it is.

Answer

34 \frac{3}{4}

Exercise #11

Solve the following:

567= \frac{56}{7}=

Step-by-Step Solution

First we will divide the numerator and denominator by the highest number that both are divisible by.

In this case, the number is 7.

Then we will divide the fraction as follows:

56:77:7=81=8 \frac{56:7}{7:7}=\frac{8}{1}=8

Answer

8 8

Exercise #12

Solve the following:

648= \frac{64}{8}=

Step-by-Step Solution

We will divide the numerator and denominator by the highest number that both are divisible by.

In this case, the number is 8

We will divide the fraction as follows:

64:88:8=81=8 \frac{64:8}{8:8}=\frac{8}{1}=8

Answer

8 8

Exercise #13

Solve the following:

99= \frac{-9}{9}=

Step-by-Step Solution

Let's remember that we are dividing a positive number by a negative number, so the result will necessarily be a negative number.

We will divide both the numerator and the denominator by the highest number that both are divisible by.

In this case, the number is -9

We will divide the fraction as follows:

9:99:9=11=1 \frac{-9:-9}{9:-9}=\frac{1}{-1}=-1

Answer

1 -1

Exercise #14

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 #15

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}