4th Grade Line Plots with Fractions Worksheet Answer Key (PDF)

4th grade line plots worksheet answers – Maths PDF

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This 4th grade line plots worksheet answers covers line plots with fractions (Common Core 4.MD.B.4), with a free PDF to print.

Key takeaway: This answer key helps fourth grade students and parents check line plot work and see how each total or difference was found.

Topic: Line Plots with Fractions (4th grade)
Content: Step-by-step answers to 20 worksheet problems
Standards: 4.MD.B.4
Answers: Every step shown, with the method to review
Format: Free printable PDF, US Letter, black and white

This answer key helps fourth grade students and parents check line plot work and see how each total or difference was found. Also, each solution shows the count of dots, the fraction addition or subtraction, and the answer with the unit.

The key covers all 20 problems and describes what a correct line plot looks like for problems 4 and 13. Then, for total problems, the key lists the multiplication of each value by its dots. Also, if your answer does not match, recount the dots and check each fraction. Then, plan about 15 minutes to compare and fix your work.

Each answer shows how to read the plot, add or subtract the fractions, and write the final answer in bold. When a problem asks you to make a plot, the answer shows the finished plot. Use the steps to check your own work.

Grade 4 · Common Core State Standards: 4.MD.B.4

4th grade line plots worksheet answers: worksheet problems 1 to 10

1 – Count the dots

Count the dots: 2 + 4 + 3 + 1 = 10.

10 caterpillars

2 – Most common length

The tallest stack has 4 dots, above \(\frac{1}{2}\) inch.

\(\frac{1}{2}\) inch

3 – Longest and shortest

Longest: 1 inch. Shortest: \(\frac{1}{4}\) inch.

\(1 – \frac{1}{4} = \frac{4}{4} – \frac{1}{4} = \frac{3}{4}\).

\(\frac{3}{4}\) inch longer

4 – Make a line plot

Count each measurement: \(\frac{1}{4}\) appears 3 times, \(\frac{1}{2}\) appears 3 times, \(\frac{3}{4}\) appears 2 times. That is 8 dots.

Water in cups.

3 dots, 3 dots, 2 dots

5 – Longer than half

Longer than 1/2 inch means 3/4 inch and 1 inch: 3 + 1 = 4.

4 caterpillars

6 – Add two lengths

\(1 + \frac{1}{4} = 1\frac{1}{4}\).

\(1\frac{1}{4}\) inches

7 – Eighths of an inch

Longer than 1/4 inch: 3/8 inch has 2 dots and 1/2 inch has 2 dots. \(2 + 2 = 4\).

4 beads

8 – One column total

There are 3 dots at 1/4: \(\frac{1}{4} + \frac{1}{4} + \frac{1}{4} = \frac{3}{4}\).

\(\frac{3}{4}\) inch

9 – Difference in eighths

Longest \(\frac{1}{2} = \frac{4}{8}\), shortest \(\frac{1}{8}\).

\(\frac{4}{8} – \frac{1}{8} = \frac{3}{8}\).

\(\frac{3}{8}\) inch

Worksheet problem 10 and after

10 – Plant heights

At least 1 foot means 1, 1 1/2, and 2 feet: \(2 + 4 + 1 = 7\).

7 plants

Worksheet problems 11 and up

11 – Tallest column total

4 dots: \(1\frac{1}{2} + 1\frac{1}{2} = 3\), then \(3 + 1\frac{1}{2} = 4\frac{1}{2}\), then \(4\frac{1}{2} + 1\frac{1}{2} = 6\).

6 feet

12 – Compare two columns

2 plants at 1 foot: \(1 + 1 = 2\) feet.

3 plants at 1/2 foot: \(\frac{1}{2} + \frac{1}{2} + \frac{1}{2} = 1\frac{1}{2}\) feet.

\(2 – 1\frac{1}{2} = \frac{1}{2}\).

\(\frac{1}{2}\) foot

13 – Plot from a list

Counts: 1/8 appears 2 times, 1/4 appears 3 times, 3/8 appears 2 times, 1/2 appears 1 time.

Leaf lengths in inches.

Longer than 1/4 inch: 3/8 (2 dots) and 1/2 (1 dot), so \(2 + 1 = 3\).

3 leaves

14 – Total of all caterpillars

Think in fourths. 2 dots at 1/4 make 2/4. 4 dots at 2/4 make 8/4. 3 dots at 3/4 make 9/4. 1 dot at 4/4 makes 4/4.

\(\frac{2}{4} + \frac{8}{4} + \frac{9}{4} + \frac{4}{4} = \frac{23}{4} = 5\frac{3}{4}\).

Fourths added up.

\(5\frac{3}{4}\) inches

Worksheet problem 15 and after

15 – Rainfall

0 in: 2 days add nothing. 1/4 in: 3 days, \(\frac{3}{4}\). Then add \(\frac{1}{2} + \frac{3}{4} + 1\).

In fourths: \(\frac{3}{4} + \frac{2}{4} + \frac{3}{4} + \frac{4}{4} = \frac{12}{4} = 3\).

3 inches

16 – Apple bags

1 bag of 1/2 lb: \(\frac{1}{2}\). 4 bags of 1 lb: 4. 3 bags of \(1\frac{1}{2}\) lb: \(1\frac{1}{2} + 1\frac{1}{2} + 1\frac{1}{2} = 4\frac{1}{2}\). 1 bag of 2 lb: 2.

Total: \(\frac{1}{2} + 4 + 4\frac{1}{2} + 2 = 11\) pounds.

Difference: \(2 – \frac{1}{2} = 1\frac{1}{2}\) pounds.

11 lb total; heaviest is \(1\frac{1}{2}\) lb heavier

17 – Seedlings

Tallest \(\frac{5}{8}\), shortest \(\frac{1}{4} = \frac{2}{8}\).

\(\frac{5}{8} – \frac{2}{8} = \frac{3}{8}\).

Taller than 3/8: 1/2 (3 dots) and 5/8 (1 dot), \(3 + 1 = 4\).

\(\frac{3}{8}\) inch taller; 4 seedlings

18 – Long jump

1 jump of 3: 3. 2 jumps of 3 1/2: \(3\frac{1}{2} + 3\frac{1}{2} = 7\). 3 jumps of 4: 12. 2 jumps of 4 1/2: \(4\frac{1}{2} + 4\frac{1}{2} = 9\).

Total: \(3 + 7 + 12 + 9 = 31\) feet.

Difference: \(4\frac{1}{2} – 3 = 1\frac{1}{2}\) feet.

31 ft; \(1\frac{1}{2}\) ft farther

Worksheet problem 19 and after

19 – Sugar scoops

3 scoops of 1/4: \(\frac{3}{4}\). 2 scoops of 1/2: 1. 3 scoops of 3/4: \(\frac{9}{4}\).

In fourths: \(\frac{3}{4} + \frac{4}{4} + \frac{9}{4} = \frac{16}{4} = 4\) cups.

Still needed: \(5 – 4 = 1\) cup.

1 cup

20 – Rope pieces

In fourths: 3 pieces of 2/4 make 6/4. 2 pieces of 3/4 make 6/4. 4 pieces of 4/4 make 16/4. 1 piece of 5/4 makes 5/4.

Total: \(\frac{6}{4} + \frac{6}{4} + \frac{16}{4} + \frac{5}{4} = \frac{33}{4} = 8\frac{1}{4}\) feet.

Needed: \(10 – 8\frac{1}{4} = 9\frac{4}{4} – 8\frac{1}{4} = 1\frac{3}{4}\) feet.

10 ft in all.

\(1\frac{3}{4}\) feet

Key facts behind this 4th grade line plots worksheet answers

Key facts

A line plot shows data above a number line, one dot per measurement.
Next, the tick marks are equally spaced, for example every 1/4 or every 1/8.
A taller stack of dots means that length happened more often.
Then, to find a total, add the length once for every dot.
To find a difference, subtract the shortest length from the longest.

Common mistakes with this 4th grade line plots worksheet answers

Students match the total but leave out units. The key writes inches, cups, feet, or miles with each answer, and so should you.
Students check their line plots by eye only. Instead, count the dots and compare with the number of data values in the list.
Students skip the column totals in the key. Also, those totals are the fastest way to find a wrong sum.
Students forget to regroup when fractions add to more than one. Instead, the key rewrites an improper sum as a mixed number.

How to use these solutions

Recount the dots on each plot before checking the answer. Then, a miscount of one dot changes a total, and recounting is quick.
Compare your column totals, not just your final sum. If the columns match but the total differs, the slip is in the last addition.
Parents can ask the child to explain how multiplying a fraction by the number of dots is the same as repeated addition.

Download the 4th grade line plots worksheet answers as a PDF with the button below and keep it with your notes.

4th grade line plots worksheet answers: frequently asked questions

What should a correct line plot for problem 4 look like?

It should have a number line marked in fourths from one fourth to three fourths, with 3 dots above one fourth, 3 above one half, and 2 above three fourths. Also, the eight dots match the eight measurements, and the tick marks are equally spaced.

How do I check a total from a line plot?

Recount the dots, then re-add the products of each value and its number of dots. You can also add all values in a different order. If both ways agree, the total is probably correct. Make sure the units match the question.

Why does the key show repeated addition for some totals?

Repeated addition shows that a column of three dots at one fourth is one fourth plus one fourth plus one fourth. Seeing this step helps students understand multiplication of a fraction by a whole number, which they learn more fully later in fourth grade.

All Grade 4 chapters: Grade 4 math.

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