Representing Fractions on a Number Line-Gr 3-Solved Examples

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

Solutions

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

Solutions

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.

Correct Answer is : Figure-3

Q4Which point on the number line represents 42?

A. A
B. C
C. A and C
D. B

Solutions

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.

Correct Answer is : C

Q5Which number line reads the fraction 48?

A. Figure 3
B. Figure 1
C. Figure 2
D. Figure 4

Solutions

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

Solutions

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

Solutions

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.

Correct Answer is : 49

Q8Which number line has a point P that corresponds to 83?

A. Line A
B. Line D
C. Line B
D. Line C

Solutions

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

Solutions

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

Solutions

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.

Correct Answer is : 18

Q11Identify the letter that represents the fraction 16 on the number line.

A. G
B. A
C. E
D. B

Solutions

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.

Correct Answer is : A

Q12Identify the figure that represents one-eighth.

A. Figure 4
B. Figure 3
C. Figure 1
D. Figure 2

Solutions

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

Solutions

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.

Correct Answer is : L

Solved Examples and Worksheet for Representing Fractions on a Number Line

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HighSchool Math