Math worksheet using a line plot to compare fractions of worm lengths.

Let’s solve this step by step.

We are given 12 worm lengths in inches:

List of worm lengths:
½, ⅜, , ¾, , ¼, ⅛, ⅜, ⅝, ⅞, ⅞, ⅞

First, let’s write them all with denominator 8 to make it easier to compare and add:

- ½ = 4/8
- ⅜ = 3/8 (appears 3 times)
- ⅝ = 5/8 (appears 2 times)
- ¾ = 6/8
- ¼ = 2/8
- ⅛ = 1/8
- ⅞ = 7/8 (appears 3 times)

So rewritten list (all over 8):

4/8, 3/8, 5/8, 6/8, 3/8, 2/8, 1/8, 3/8, 5/8, 7/8, 7/8, 7/8

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Question 1: What is the difference between the length of the longest worm and shortest worm?

Longest worm = 7/8 inch
Shortest worm = 1/8 inch

Difference = 7/8 - 1/8 = 6/8 = 3/4 inch

✔ Answer for Q1: 3/4 inch

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Question 2: If you placed ALL of the worms end to end, how long would they be?

Add all the fractions:

Let’s group them:

- 1/8 → 1 time → total = 1/8
- 2/8 → 1 time → total = 2/8
- 3/8 → 3 times → 3 × 3/8 = 9/8
- 4/8 → 1 time → 4/8
- 5/8 → 2 times → 2 × 5/8 = 10/8
- 6/8 → 1 time → 6/8
- 7/8 → 3 times → 3 × 7/8 = 21/8

Now add all numerators (since denominators are all 8):

1 + 2 + 9 + 4 + 10 + 6 + 21 = Let’s compute step by step:

1 + 2 = 3
3 + 9 = 12
12 + 4 = 16
16 + 10 = 26
26 + 6 = 32
32 + 21 = 53

Total = 53/8 inches

Convert to mixed number: 53 ÷ 8 = 6 remainder 5 → 6 5/8 inches

✔ Answer for Q2: 6 5/8 inches

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Question 3: After placing all worms end to end, Bailey ate one that was ¾ inches long. How many total inches now?

We had 53/8 inches total.

¾ inch = 6/8 inch

Subtract: 53/8 - 6/8 = 47/8 inches

Convert to mixed number: 47 ÷ 8 = 5 remainder 7 → 5 7/8 inches

✔ Answer for Q3: 5 7/8 inches

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Final Answer:
1. 3/4 inch
2. 6 5/8 inches
3. 5 7/8 inches