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 smaller than 1 or not:

2:1 2:1

Video Solution

Step-by-Step Solution

We know that every number divided by 1 equals the number itself.

We also know that 2 is greater than 1.

This means that we can convert the expression into a fraction as follows:

2/1

We can see that the numerator is greater than the denominator, meaning that the number must be greater than 1.

Answer

It is larger than 1.

Exercise #2

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 #3

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 #4

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 #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

Write the fraction shown in the picture, in words:

Step-by-Step Solution

To solve this problem, we need to convert the visual representation of a fraction into words. Let's break down the process step by step:

Step 1: Identify the given visual information

The given image is a circle, which represents a whole. It has two distinct halves divided by a vertical line. One half is shaded, which indicates the fraction that we need to express in words.

Step 2: Determine the fraction represented

Given that one half of the circle is shaded, it indicates that this is one part of two equal parts.

Step 3: Write the fraction in words

The fraction that corresponds to one out of two equal parts is 12 \frac{1}{2} , expressed in words as "half."

Therefore, the fraction shown in the picture, expressed in words, is Half.

Answer

Half

Exercise #7

Solve the following expression:

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 #8

Solve the following expression:

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 #9

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 #10

Solve the following expression:

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 #11

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 #12

Solve the following expression:

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 #13

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 #14

Solve the following expression:

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 #15

Solve the following expression:

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