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Model Train Club: Building Fractions from Unit Pieces

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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?
Question 6 options
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.
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?
10.
Dev says 2/3 = 2 × 1/3. Ana says 2/3 = 3 × 1/2. Who is correct?
Question 10 options

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.