#### Solved Examples and Worksheet for Representing Fractions on a Number Line

Q1Which number line reads the fraction 15? A. Figure 1
B. Figure 3
C. Figure 2
D. Figure 4

Step: 1
The length between 0 and 1 is divided into five equal parts. Each part represents 1/5. So, Figure 2 is the correct answer.
Correct Answer is :   Figure 2
Q2Choose a figure that shows three sevenths. A. Figure 1
B. Figure 1 and Figure 3
C. Figure 2
D. Figure 3

Step: 1
Among the figures given, Figure 2 shows three sevenths shading.
[three sevenths mean 3 out of 7. We choose the figure that has 7 parts in all with 3 of them shaded.]
Correct Answer is :   Figure 2
Q3Identify the figure that represents five sevenths. A. Figure-4
B. Figure-3
C. Figure-1 and Figure-2
D. Figure-2

Step: 1
In figure-3, there are 7 equal parts as a whole.
Step: 2
Out of them, 5 parts are shaded.
Step: 3
So, figure-3 represents five sevenths.
Q4Which point on the number line represents 42? A. A
B. C
C. A and C
D. B

Step: 1
The line between 0 and 1 is divided into two equal parts. So, each part is 12.
Step: 2
A represents22 B represents 32. C represents 42.
Step: 3
So, C represents 42.
Q5Which number line reads the fraction 48? A. Figure 3
B. Figure 1
C. Figure 2
D. Figure 4

Step: 1
The length between 0 and 1 is divided into 8 equal parts. Each part is one part out of eight parts and is equal to unit fraction 18.
Step: 2
So, 4th part represents 48 and Figure 4 is the correct answer.
Correct Answer is :   Figure 4
Q6Identify the number line that reads the fraction 76. A. Figure 3
B. Figure 4
C. Figure 2
D. Figure 1

Step: 1
The length between 0 and 1 is divided into 6 parts. Each part is 16.
Step: 2
length of 7 parts is 76. So, figure 4 is the answer.
Correct Answer is :   Figure 4
Q7Which fraction does the letter D represent on the number line shown? A. 68
B. 39
C. 49
D. 69

Step: 1
In the number line, there are 9 divisions.
Step: 2
Each division represents the fraction 19.
Step: 3
So, the point that D marks represents the fraction 49.
Q8Which number line has a point P that corresponds to 83? A. Line A
B. Line D
C. Line B
D. Line C

Step: 1
Each unit is divided into 3 parts. Each part represents 13.
Step: 2
The point P placed on the 8th part on the number line represents fraction 83.
Step: 3
Line B is the number line having point P that corresponds to 83.
Correct Answer is :   Line B
Q9Identify the figure that represents one-sixth. A. Figure 3
B. Figure 1
C. Figure 2
D. Figure 4

Step: 1
In Figure 3, there are six divisions and each division represents one-sixth part.
Step: 2
Blue colored part in Figure 3 represents one-sixth.
Step: 3
So, Figure 3 represents one-sixth.
Correct Answer is :   Figure 3
Q10Which fraction does the letter T represent on the number line shown? A. 23
B. 25
C. 16
D. 18

Step: 1
Between 0 and 1 the line is divided into 8 equal parts.
Step: 2
Each part represents 18.
Step: 3
The point T is at 18.
Q11Identify the letter that represents the fraction 16 on the number line. A. G
B. A
C. E
D. B

Step: 1
The length between each unit is divided into 6 equal parts.
Step: 2
So, each part represents the fraction 16.
Step: 3
The letter A is placed on the 1st part of the number line representing the fraction 16.
Step: 4
Therefore, the letter A represents the fraction 16.
Q12Identify the figure that represents one-eighth. A. Figure 4
B. Figure 3
C. Figure 1
D. Figure 2

Step: 1
In Figure 1, there are eight divisions and each division represents one-eighth part.
Step: 2
Blue colored part in Figure 1 represents one-eighth.
Step: 3
So, Figure 1 represents one-eighth.
Correct Answer is :   Figure 1
Q13Which point best describes the location of 19 on the number line? A. L
B. N
C. L and M
D. M

Step: 1
The fraction 19 lies between 0 and 1.
Step: 2
19 is closer to 0 than 1.
Step: 3
So, among the points L represents the fraction 19 on the number line.