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 diagram as a number:

Video Solution

Step-by-Step Solution

The number of parts in the circle represents the denominator of the fraction, while the number of coloured parts represents the numerator.

The circle is divided into 2 parts and 1 part is coloured.

If we rewrite this as a fraction, we obtain the following:

12 \frac{1}{2}

Answer

12 \frac{1}{2}

Exercise #2

Write the fraction shown in the diagram as a number:

Video Solution

Step-by-Step Solution

The number of parts in the circle represents the denominator of the fraction, while the number of coloured parts represents the numerator.

The circle is divided into 3 parts and 2 parts are coloured.

Hence:

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.

Hence:

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

Write the fraction shown in the picture, in words:

Step-by-Step Solution

To solve this problem, we'll visually interpret the pie chart provided:

  • Step 1: Count the divisions of the circle in the pie chart.
  • Step 2: Identify the proportion of the circle that is shaded.
  • Step 3: Translate this fraction into words.

Let's work through these steps:

Step 1: The circle (pie chart) is divided into three equal parts. This division is typical for pie charts expressing fractions.

Step 2: Out of the three divisions, one segment is shaded. This visually represents the fraction 13\frac{1}{3} of the whole circle.

Step 3: The fraction 13\frac{1}{3} is pronounced as "one third" in words.

Thus, the fraction shown in the picture is correctly expressed in words as One third.

Answer

One third

Exercise #7

Write the fraction shown in the picture, in words:

Step-by-Step Solution

To solve this problem, we'll follow these steps:

  • Step 1: Analyze the given visual representation.
  • Step 2: Identify the fraction and convert it into words.

Initially, we examine the circle in the provided graphic, which is divided into three equal parts. Two of these parts are shaded.

Step 1: Count the sections. There are three sections in total, which means the denominator of the fraction is 3. Two of these sections are shaded, so the numerator is 2.

Step 2: Translate the numeric fraction 23\frac{2}{3} into words.
The word representation of 23\frac{2}{3} is "two thirds."

Thus, the answer to this problem is two thirds.

Answer

Two thirds

Exercise #8

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 #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

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 #11

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 #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 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 #14

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 #15

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}