4th Grade Line Plots with Fractions Worksheet Solutions (PDF)

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

10 caterpillars

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

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

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

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.

3 dots, 3 dots, 2 dots

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

4 caterpillars

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

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

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

4 beads

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

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

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

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

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

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

7 plants

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

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

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

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

3 leaves

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.

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

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

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

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

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

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

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

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.

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