Denominator

What is the denominator?

The denominator is the bottom number of a fraction and represents the whole in its entirety.
For example:

A3 - denominator image

Practice Denominator

Examples with solutions for Denominator

Exercise #1

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 #2

Without calculating, determine whether the quotient in the division exercise is less than 1:

7:11 7:11

Video Solution

Step-by-Step Solution

Note that the numerator is smaller than the denominator:

7 < 11

As a result, we can write it thusly:

\frac{7}{11}<1

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

Answer

Less than 1

Exercise #3

Without calculating, determine whether the quotient in the following division is less than 1:

11:8 11:8

Video Solution

Step-by-Step Solution

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.

Answer

Not less than 1

Exercise #4

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

2:1 2:1

Video Solution

Step-by-Step Solution

We know that every fraction 1 equals the number itself.

We also know that 2 is greater than 1.

Similarly, if we convert the expression to a fraction:

2/1

We can see that the numerator is greater than the denominator. As long as the numerator is greater than the denominator, the number is greater than 1.

Answer

No

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

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 #7

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 #8

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 #9

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 #10

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 #11

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 #12

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 #13

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 #14

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 #15

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}