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Fractions on the Race Track worksheet preview

Worksheet

Fractions on the Race Track

Grade 3 fractions on a number line: count equal sections of a race track from 0 to find and name fractions like 3/4 and 5/6.

Grade 3MathInteractive · Printable

Aligned to3.NF.A.2.b

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What’s included

  • Single worksheet
  • Auto-graded online
  • 1 Common Core standard
  • Printable answer key
  • 12 questions
  • Classroom-ready

Details

Format
Interactive · Printable
Grade
Grade 3
Subject
Math
Question types
Fill in the blank, Multiple choice, Matching, Short answer

About this worksheet

What students practice

  • Students locate a fraction a/b on a number line by marking off a lengths of 1/b from 0.
  • Students name the fraction for a point on a number line split into equal parts.
  • Students find how many lengths of 1/b reach a given fraction on a number line.

How to use

Use after students can show unit fractions on a number line. Have them hop a pencil from 0 one section at a time and count each hop before writing the fraction.

Curriculum

Common Core standard covered

3.NF.A.2.b

Show a fraction a/b on a number line by marking off a lengths of 1/b from 0.

Preview

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Name Date

Fractions on the Race Track

Count equal sections from 0 to find where each runner stops.

Count the sections

Each track goes from the start (0) to the finish line (1). It is split into equal sections. The dot shows where a runner stopped.

1.

01
The track is split into 4 equal sections. Each section is   of the track. The runner ran   sections from 0. The dot is at  .

2.

01
The track is split into 6 equal sections. The runner ran   sections of 1/6 from 0. The dot is at  .

3.

01
The track is split into 3 equal sections. The dot is at  .

4.

01
The track is split into 8 equal sections. The dot is at  .

Where did they stop?

Each track goes from the start (0) to the finish line (1). Use the dots and the equal sections to answer.

5.
Match each track to the fraction for its dot.
  1. 01
    8 equal sections
  2. 01
    3 equal sections
  3. 01
    6 equal sections
  1. A. 1/3
  2. B. 1/6
  3. C. 2/3
  4. D. 7/8
6.
Ava stopped at 3/4 of the track. Which track shows where she stopped?
  • A. 01
    4 equal sections
  • B. 01
    3 equal sections
  • C. 01
    4 equal sections
  • D. 01
    8 equal sections
7.
Liam's track is split into 8 equal sections, so each section is 1/8. He starts at 0, runs 3 sections, and stops.

Liam stops at   of the track.

Race stories

Read each story. Use the equal sections to answer.

8.
The long race goes from the start (0) to the finish (2). Each whole, from 0 to 1 and from 1 to 2, is split into 4 equal sections, so there are 8 sections in all.

02
The dot is   sections of 1/4 from 0. The dot is at  .

9.
Noah's track from 0 to 1 is split into 8 equal sections. He runs 3 sections from 0. Then he runs 2 more sections. Where is Noah now?
  • A. 2/8
  • B. 3/8
  • C. 8/5
  • D. 5/8
10.
Mei's track from 0 to 1 is split into 6 equal sections. Each section is 1/6. Mei stops at 5/6.

Mei ran   sections from 0.

11.
Priya's track from 0 to 1 is split into 3 equal sections. She stops at 1/3.

Priya must run   more sections to reach the finish line at 1.

12.
Sam's track from 0 to 1 is split into 4 equal sections. Explain how Sam can find 3/4 on the track.

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