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📊 4th grade math · Data & Chance

Line plots with fractions

Read each X as a fraction of an inch. Put pieces end to end by adding the fractions. How much longer? Subtract the smaller fraction from the bigger one.

Worked example

Each X on the line plot is the length of one leaf in inches. The leaves that are 512 inches long are put end to end. How long are they together?
21/231/241/251/26Length in inches
Answer: 11 inches
There are 2 of them, each 5 1/2. 2 × 11/2 = 22/2 = 11 inches. Answer: 11 inches.

For grown-ups: Line plots with fractional data. Below: three problems to try with the worked answers, and a free printable sheet. Children can practise the same skill as a game, with no sign-up and no ads.

  • CCSS 4.MD.B.4
  • CCSS 5.MD.B.2
What this practises, for teachers

Practices line plots with fractional data (4.MD.B.4, 5.MD.B.2). A printable sheet with its answer key, worked answers on the page, no accounts.

▶ Practise it

For your class

🖨️ Printable sheet and key

Try three

  1. Each X on the line plot is the length of one twig in inches. How much longer is the longest than the shortest?
    01/211/221/23Length in inches
    Show the answer and how
    Answer: 2 inches
    The longest is 3 and the shortest is 1. Subtract: 6/2 − 2/2 = 4/2 = 2 inches. Answer: 2 inches.
  2. Each X on the line plot is the length of one ribbon in inches. How much longer is the longest than the shortest?
    11/41/23/421/41/23/43Length in inches
    Show the answer and how
    Answer: 1 1/4 inches
    The longest is 2 3/4 and the shortest is 1 1/2. Subtract: 11/4 − 6/4 = 5/4 inches. Answer: 1 1/4 inches.
  3. Each X on the line plot is the length of one crayon in inches. The two longest crayons are put end to end. How long are they together?
    01/81/43/81/25/83/47/81Length in inches
    Show the answer and how
    Answer: 1 1/8 inches
    The two longest are 5/8 and 1/2. Add: 5/8 + 4/8 = 9/8 inches. Answer: 1 1/8 inches.

Before and after

Learn first: Graphs with a key (3rd)

Name: ____________________Date: ____________Score: ____ / 12

Line plots with fractions (4th grade)

  1. Each X on the line plot is the length of one crayon in inches. How much longer is the longest than the shortest?
    01/211/221/231/24Length in inches
  2. Each X on the line plot is the length of one leaf in inches. The leaves that are 312 inches long are put end to end. How long are they together?
    21/231/241/25Length in inches
  3. Each X on the line plot is the length of one crayon in inches. How much longer is the longest than the shortest?
    21/231/241/251/26Length in inches
  4. Each X on the line plot is the length of one leaf in inches. How much longer is the longest than the shortest?
    01/211/221/23Length in inches
  5. Each X on the line plot is the length of one feather in inches. How much longer is the longest than the shortest?
    11/41/23/421/41/23/43Length in inches
  6. Each X on the line plot is the length of one strip of paper in inches. The strips of paper that are 212 inches long are put end to end. How long are they together?
    01/41/23/411/41/23/421/41/23/43Length in inches
  7. Each X on the line plot is the length of one twig in inches. The two longest twigs are put end to end. How long are they together?
    01/41/23/411/41/23/421/41/23/43Length in inches
  8. Each X on the line plot is the length of one ribbon in inches. All the ribbons are put end to end. How long are they all together?
    21/41/23/431/41/23/44Length in inches
  9. Each X on the line plot is the length of one twig in inches. The twigs that are 38 inches long are put end to end. How long are they together?
    01/81/43/81/25/83/47/81Length in inches
  10. Each X on the line plot is the length of one strip of paper in inches. All the strips of paper are put end to end. How long are they all together?
    11/81/43/81/25/83/47/82Length in inches
  11. Each X on the line plot is the length of one feather in inches. The two longest feathers are put end to end. How long are they together?
    01/81/43/81/25/83/47/81Length in inches
  12. Each X on the line plot is the length of one pencil in inches. All the pencils are put end to end. How long are they all together?
    21/81/43/81/25/83/47/831/81/43/81/25/83/47/84Length in inches

Answer key

  1. 3 1/2 inches
  2. 7 inches
  3. 2 inches
  4. 2 inches
  5. 1 1/4 inches
  6. 5 inches
  7. 6 inches
  8. 26 1/4 inches
  9. 1 1/2 inches
  10. 12 3/4 inches
  11. 1 7/8 inches
  12. 28 1/8 inches

More 4th grade skills: all 4th grade math skills, or every grade at math skills.