Fractions on a Number Line - Examples, Exercises and Solutions

Understanding Fractions on a Number Line

Complete explanation with examples

Placing Fractions on the Number Line

To locate fractions on the number line, we will carry out several steps.

First Step Discovering the Value of Arcs

We will subtract two given numbers and keep the difference.
We will count the number of arcs between the numbers.
We will divide the subtraction result by the number of arcs to find out the measure of each arc.

Step Two – Placing the Numbers on the Number Line

Depending on the amount of arcs, the scale can be expanded or reduced.

Detailed explanation

Practice Fractions on a Number Line

Test your knowledge with 5 quizzes

The number \( \frac{3}{5} \) is found

Examples with solutions for Fractions on a Number Line

Step-by-step solutions included
Exercise #1

What number is marked on the number axis?

000111

Step-by-Step Solution

Let's count how many points including the number 1 are on the number line.

Since there are 6 in total, we will define the point 1 as the fraction:

66 \frac{6}{6}

Since

66=11=1 \frac{6}{6}=\frac{1}{1}=1

The number marked on the number line is 1

Answer:

1 1

Exercise #2

What is the missing numebr (?) marked on the number line below?

000???111

Step-by-Step Solution

Let's count how many points, including the number 1, there are on the number line.

Since there are 6 in total, we'll define the 0 point as the fraction:

06 \frac{0}{6}

We'll also define 1 as the following fraction:

66 \frac{6}{6}

Now let's fill in each point on the sequence to discover which numbers are missing:

Answer:

26 \frac{2}{6}

Video Solution
Exercise #3

What are the missing numbers (?) on the numer line below?

000??????111

Step-by-Step Solution

Let's first count how many points, including the number 1, are on the number line.

Since there are 7 in total, we'll define the 0 point as the fraction:

07 \frac{0}{7}

We will also define 1 as the following fraction:

77 \frac{7}{7}

Now let's fill in each point on the line to discover which numbers are missing:

Answer:

27,57 \frac{2}{7},\frac{5}{7}

Video Solution
Exercise #4

What is the missing number (?) on the number line below?

000???111

Step-by-Step Solution

Let's first count how many points, including the number 1, there are on the number line.

Since there are 11 in total, we'll define the 0 point as the following fraction:

011 \frac{0}{11}

We will also define 1 as the following fraction:

1111 \frac{11}{11}

Now let's fill in each point on the sequence to discover what our missing number is:

Answer:

1011 \frac{10}{11}

Video Solution
Exercise #5

What number is missing (?) on the number line below?

000???111

Step-by-Step Solution

Let's first count how many points, including the number 1, there are on the number line.

Since there are 4 in total, we'll define the 0 point as the following fraction:

04 \frac{0}{4}

We can also define 1 as follows:

44 \frac{4}{4}

Finally, we can fill in each point on the number line to work out which number is represented by the question mark:

Answer:

34 \frac{3}{4}

Video Solution

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