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Place Fractions on the Number Line

Videos and solutions to help Grade 3 students learn how to practice placing various fractions on the number line.

Common Core Standards: 3.NF.2a, 3.NF.2b, 3.NF.3c, 3.NF.3d, 3.MD.4

Related Topics:
Lesson Plans and Worksheets for Grade 3
Lesson Plans and Worksheets for all Grades
More Lessons for Grade 3
Common Core For Grade 3

New York State Common Core Math Grade 3, Module 5, Lesson 17

Lesson 17 Application Problem

Sammy goes to the pool. She sees a black line at the bottom stretching from one end of the pool to the other. She wonders how long it is. The black line is the same length as 9 concrete slabs that make the sidewalk at the edge of the pool. One concrete slab is 5 meters long.
What is the length of the black line at the bottom of the pool?

Lesson 17 Concept Development

Draw a number line with endpoints 1 and 4.
Label the wholes.
Partition each whole into 3 unit fractions.
Label all the fractions from 1 to 4.

What do the fractions have in common? What do you notice?
All the fractions have a 3 on the bottom.
All are equal to or greater than 1 whole.
The number of thirds that name whole numbers count by threes:
1 = 3 thirds, 2 = 6 thirds, 3 = 9 thirds. Those fractions are equivalent to whole numbers. Lesson 17 Problem Set

1 - 3. Locate and label the following fractions on the number line.

4. For a measurement project in math class, students measured the lengths of their pinky fingers. Alex's measured 2 inches long. Jerimiah's pinky finger was 7/4 inches long. Whose finger is longer? Draw a number line to help prove your answer.

5. Marcy ran 4 km after school. She stopped to tie her shoelace at 7/5 km. Then she stopped to switch songs on her iPod at 12/5 km. Draw a number line showing Marcyӳ run. Include her starting and finishing points and the 2 places where she stopped.

Lesson 17 Homework

2. - 3. Locate and label the following fractions on the number lines.

4. Wayne went on a 4 km hike. He took a break at 4/3 km. He took a drink of water at 10/3 km. Show Wayne's hike on the number line. Include his starting and finishing place, and the 2 points where he stopped.

5. Ali wants to buy a piano. The piano measures 19/4 ft. long. She has a space 5 ft. long for the piano in her house. Does she have enough room? Draw a number line to show and explain your answer.


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You can use the free Mathway calculator and problem solver below to practice Algebra or other math topics. Try the given examples, or type in your own problem and check your answer with the step-by-step explanations.

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