# Fractions on a Number Line - Examples, Exercises and Solutions

## 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.

## Examples with solutions for Fractions on a Number Line

### Exercise #1

What number is marked on the number axis?

### 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:

$\frac{6}{6}$

Since

$\frac{6}{6}=\frac{1}{1}=1$

The number marked on the number line is 1

$1$

### Exercise #2

What number is marked on the number axis?

### Video Solution

$\frac{2}{3}$

### Exercise #3

What number is marked on the number axis?

### Video Solution

$\frac{1}{4}$

### Exercise #4

What number is marked on the number axis?

### Video Solution

$\frac{4}{5}$

### Exercise #5

What number is marked on the number axis?

### Video Solution

$\frac{2}{6}$

### Exercise #6

What numbers appear on the number line?

### Video Solution

$\frac{2}{7},\frac{5}{7}$

### Exercise #7

What number is marked on the number axis?

### Video Solution

$\frac{10}{11}$

### Exercise #8

What number appears on the number line?

### Video Solution

$\frac{4}{6}$

### Exercise #9

What number is marked on the number axis?

### Video Solution

$\frac{3}{4}$

### Exercise #10

What number is marked on the number axis?

### Video Solution

$\frac{4}{6}$

### Exercise #11

The number $\frac{1}{4}$ is found?

### Exercise #12

The number $\frac{6}{5}$ is found

### Video Solution

between $1$ to $1\frac{1}{2}$

### Exercise #13

The number $\frac{7}{8}$ is found

### Video Solution

between$\frac{1}{2}$ to $1$

### Exercise #14

The number $\frac{3}{5}$ is found

### Video Solution

between $\frac{1}{5}$ to $\frac{4}{5}$

### Exercise #15

The number $-\frac{3}{4}$ is found?

### Video Solution

between $-1$ to $0$