OwlSheets
Model Train Club: Building Fractions from Unit Pieces worksheet preview

Worksheet

Model Train Club: Building Fractions from Unit Pieces

Grade 4 practice seeing a fraction a/b as a × 1/b, using model train track pieces, fraction bars, and number lines.

Grade 4MathInteractive · Printable

Aligned to4.NF.B.4.a

Play onlinePlay as a game
PrintLetter-size worksheetAnswer keyPrintable answers
Assign to classAssign to your classes, or get a join code

What’s included

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

Details

Format
Interactive · Printable
Grade
Grade 4
Subject
Math
Question types
Fill in the blank, Multiple choice, Matching, Sorting, Short answer

About this worksheet

What students practice

  • Students write a fraction a/b as a × 1/b, such as 5/4 = 5 × 1/4.
  • Students use fraction bars and number lines to count the unit fractions in a fraction.
  • Students solve track problems by multiplying a whole number by a unit fraction.

How to use

Use when introducing fractions as multiples of unit fractions. Have students build each track with paper strips or count jumps on the number line before writing the equation.

Curriculum

Common Core standard covered

4.NF.B.4.a

Understand a fraction a/b as a times 1/b.

Preview

OwlSheets.com

Name Date

Model Train Club: Building Fractions from Unit Pieces

See every fraction a/b as a pieces that are each 1/b long.

Count the track pieces

Fill in the blanks. Think about how many unit fraction pieces make each length.

1.
Each straight track piece is 1/6 of a yard long. Jada lays 5 pieces in a row. The shaded part of the bar shows her track.

5/6 =   × 1/6

2.
A curved track is 7/8 of a yard long. It is made of 7 pieces that are all the same length. Write the length of one piece as a unit fraction.

7/8 = 7 ×  

3.
Marco snaps together 4 track pieces. Each piece is 1/5 of a yard long. How long is his track?

4 × 1/5 =   of a yard

4.
A toy train starts at 0. Each time it moves, it goes 1/4 of a yard. Each tick mark on the number line is 1/4 of a yard. The dot shows where the train stops.
02

The train moves   times.
It stops at   yards.

5.
Ms. Rivera links 11 track pieces. Each piece is 1/4 of a yard long. Write the total length as a fraction.

11 × 1/4 =   yards

6.
A tunnel is 3/8 of a yard long. Which shows 3/8 as a multiple of a unit fraction?
  • A. 8 × 1/3
  • B. 3 + 1/8
  • C. 3 × 1/8
  • D. 3 × 3/8
7.
Ruby adds 4 short pieces to her track. Each piece is 1/3 of a foot long.

1/3 + 1/3 + 1/3 + 1/3 =   × 1/3 =   feet

Match and sort

Find the expressions that name the same length.

8.
Match each fraction to the same amount written as a multiple of a unit fraction.
  1. 4/3
  2. 3/4
  3. 6/10
  4. 10/6
  1. A. 6 × 1/10
  2. B. 4 × 1/3
  3. C. 10 × 1/6
  4. D. 3 × 1/4
9.
Theo's bridge is made of 6 pieces that are each 1/5 of a yard long, so it is 6 × 1/5 yards long. Sort each length: does it equal 6 × 1/5 or not?
6/55/61/5 + 1/5 + 1/5 + 1/5 + 1/5 + 1/56 + 1/51 1/55 × 1/6
Equals 6 × 1/5Does not equal 6 × 1/5
10.
Dev says 2/3 = 2 × 1/3. Ana says 2/3 = 3 × 1/2. Who is correct?
  • A. Only Ana
  • B. Only Dev
  • C. Both Dev and Ana
  • D. Neither Dev nor Ana

Track stories

Solve each problem about the club's train layout.

11.
Owen builds a bridge with 7 track pieces. Each piece is 1/3 of a foot long. How long is the bridge?

7 × 1/3 =   feet

12.
Nora's straight track is 9/8 of a yard long. Each piece she used is 1/8 of a yard long. How many pieces did she use?

9/8 =   × 1/8, so Nora used that many pieces.

13.
Explain why 5/4 is the same as 5 × 1/4. You can draw a fraction bar or a number line to help.

Related worksheets