Creating Line Plots with Fractions 5th Grade Math Worksheets - Free Printable
Educational worksheet: Creating Line Plots with Fractions 5th Grade Math Worksheets. Download and print for classroom or home learning activities.
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Step-by-step solution for: Creating Line Plots with Fractions 5th Grade Math Worksheets
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Show Answer Key & Explanations
Step-by-step solution for: Creating Line Plots with Fractions 5th Grade Math Worksheets
Let’s go step by step to solve this problem.
We are given a line plot titled “Pumpkins at the Farmers Market.” The horizontal axis shows weight in pounds: 0, 1/2, 1, 1 1/2, 2, 2 1/2, 3. Each “X” above a number means one pumpkin of that weight was sold.
Let’s count the X’s for each weight:
- At 1/2 pound: There is 1 X → 1 pumpkin
- At 1 pound: There are 4 X’s → 4 pumpkins
- At 1 1/2 pounds: There are 3 X’s → 3 pumpkins
- At 2 pounds: There are 2 X’s → 2 pumpkins
- At 2 1/2 pounds: There are 0 X’s → 0 pumpkins
- At 3 pounds: There is 1 X → 1 pumpkin
Total pumpkins = 1 + 4 + 3 + 2 + 0 + 1 = 11 pumpkins
Now let’s answer each question:
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What does each X represent?
→ Each X represents one pumpkin.
---
How many pumpkins did he sell?
→ We counted 11 total X’s → 11 pumpkins
---
How much do the heaviest pumpkin(s) weigh?
→ The rightmost X is at 3 pounds → 3 pounds
---
How many people bought a pumpkin that weighs 1/8 of a pound?
→ Look at the line plot — there is no mark at 1/8. The smallest weight shown is 1/2. So 0 people.
---
How much do the lightest pumpkin(s) weigh?
→ The leftmost X is at 1/2 pound → 1/2 pound
---
How many people bought a pumpkin that weighs 1/8 of a pound? (again?)
→ Same as before → 0
*(Note: This question appears twice — probably a typo in the worksheet. We’ll answer both the same.)*
---
How many people bought a pumpkin that weighs 1/8 of a pound? (third time?)
→ Still 0
*(Again, likely repeated by mistake.)*
---
How many people bought a pumpkin that weighs 5/8 of a pound?
→ 5/8 is between 1/2 (which is 4/8) and 1 (which is 8/8). But on the line plot, we only have marks at 1/2, 1, 1 1/2, etc. No X at 5/8 → 0
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How many people bought a pumpkin that weighs 7/4 of a pound?
→ 7/4 = 1 3/4. That’s between 1 1/2 (which is 6/4) and 2 (which is 8/4). Again, no X at 7/4 → 0
---
How many people bought a pumpkin that weighs 3/4 of a pound?
→ 3/4 is between 1/2 (2/4) and 1 (4/4). No X at 3/4 → 0
---
What is the total weight of all the pumpkins sold?
We need to multiply each weight by how many pumpkins were sold at that weight, then add them up.
- 1/2 lb × 1 = 1/2
- 1 lb × 4 = 4
- 1 1/2 lb × 3 = 3 × 3/2 = 9/2 = 4 1/2
- 2 lb × 2 = 4
- 2 1/2 lb × 0 = 0
- 3 lb × 1 = 3
Now add:
Start with fractions: 1/2 + 9/2 = 10/2 = 5
Then whole numbers: 4 + 4 + 3 = 11
Total = 5 + 11 = 16 pounds
Wait — let me double-check:
Actually, better to convert everything to halves or decimals to avoid error.
Convert all to halves:
- 1/2 = 0.5 → 0.5 × 1 = 0.5
- 1 = 2/2 → 2/2 × 4 = 8/2 = 4
- 1 1/2 = 3/2 → 3/2 × 3 = 9/2 = 4.5
- 2 = 4/2 → 4/2 × 2 = 8/2 = 4
- 2 1/2 = 5/2 → 5/2 × 0 = 0
- 3 = 6/2 → 6/2 × 1 = 6/2 = 3
Now sum: 0.5 + 4 + 4.5 + 4 + 0 + 3
Add step by step:
0.5 + 4 = 4.5
4.5 + 4.5 = 9
9 + 4 = 13
13 + 3 = 16
Yes → 16 pounds
---
What is the difference in weights between the heaviest pumpkin and the lightest pumpkin sold?
Heaviest = 3 pounds
Lightest = 1/2 pound
Difference = 3 - 1/2 = 2 1/2 pounds
---
Final Answers:
What does each X represent? → One pumpkin
How many pumpkins did he sell? → 11
How much do the heaviest pumpkin(s) weigh? → 3 pounds
How many people bought a pumpkin that weighs 1/8 of a pound? → 0
How much do the lightest pumpkin(s) weigh? → 1/2 pound
How many people bought a pumpkin that weighs 1/8 of a pound? → 0
How many people bought a pumpkin that weighs 1/8 of a pound? → 0
How many people bought a pumpkin that weighs 5/8 of a pound? → 0
How many people bought a pumpkin that weighs 7/4 of a pound? → 0
How many people bought a pumpkin that weighs 3/4 of a pound? → 0
What is the total weight of all the pumpkins sold? → 16 pounds
What is the difference in weights between the heaviest pumpkin and the lightest pumpkin sold? → 2 1/2 pounds
──────────────────────────────────────
Final Answer:
Each X represents one pumpkin. He sold 11 pumpkins. The heaviest pumpkin weighs 3 pounds. 0 people bought a pumpkin weighing 1/8 pound. The lightest pumpkin weighs 1/2 pound. 0 people bought a pumpkin weighing 5/8 pound. 0 people bought a pumpkin weighing 7/4 pound. 0 people bought a pumpkin weighing 3/4 pound. Total weight of all pumpkins sold is 16 pounds. Difference between heaviest and lightest is 2 1/2 pounds.
We are given a line plot titled “Pumpkins at the Farmers Market.” The horizontal axis shows weight in pounds: 0, 1/2, 1, 1 1/2, 2, 2 1/2, 3. Each “X” above a number means one pumpkin of that weight was sold.
Let’s count the X’s for each weight:
- At 1/2 pound: There is 1 X → 1 pumpkin
- At 1 pound: There are 4 X’s → 4 pumpkins
- At 1 1/2 pounds: There are 3 X’s → 3 pumpkins
- At 2 pounds: There are 2 X’s → 2 pumpkins
- At 2 1/2 pounds: There are 0 X’s → 0 pumpkins
- At 3 pounds: There is 1 X → 1 pumpkin
Total pumpkins = 1 + 4 + 3 + 2 + 0 + 1 = 11 pumpkins
Now let’s answer each question:
---
What does each X represent?
→ Each X represents one pumpkin.
---
How many pumpkins did he sell?
→ We counted 11 total X’s → 11 pumpkins
---
How much do the heaviest pumpkin(s) weigh?
→ The rightmost X is at 3 pounds → 3 pounds
---
How many people bought a pumpkin that weighs 1/8 of a pound?
→ Look at the line plot — there is no mark at 1/8. The smallest weight shown is 1/2. So 0 people.
---
How much do the lightest pumpkin(s) weigh?
→ The leftmost X is at 1/2 pound → 1/2 pound
---
How many people bought a pumpkin that weighs 1/8 of a pound? (again?)
→ Same as before → 0
*(Note: This question appears twice — probably a typo in the worksheet. We’ll answer both the same.)*
---
How many people bought a pumpkin that weighs 1/8 of a pound? (third time?)
→ Still 0
*(Again, likely repeated by mistake.)*
---
How many people bought a pumpkin that weighs 5/8 of a pound?
→ 5/8 is between 1/2 (which is 4/8) and 1 (which is 8/8). But on the line plot, we only have marks at 1/2, 1, 1 1/2, etc. No X at 5/8 → 0
---
How many people bought a pumpkin that weighs 7/4 of a pound?
→ 7/4 = 1 3/4. That’s between 1 1/2 (which is 6/4) and 2 (which is 8/4). Again, no X at 7/4 → 0
---
How many people bought a pumpkin that weighs 3/4 of a pound?
→ 3/4 is between 1/2 (2/4) and 1 (4/4). No X at 3/4 → 0
---
What is the total weight of all the pumpkins sold?
We need to multiply each weight by how many pumpkins were sold at that weight, then add them up.
- 1/2 lb × 1 = 1/2
- 1 lb × 4 = 4
- 1 1/2 lb × 3 = 3 × 3/2 = 9/2 = 4 1/2
- 2 lb × 2 = 4
- 2 1/2 lb × 0 = 0
- 3 lb × 1 = 3
Now add:
Start with fractions: 1/2 + 9/2 = 10/2 = 5
Then whole numbers: 4 + 4 + 3 = 11
Total = 5 + 11 = 16 pounds
Wait — let me double-check:
Actually, better to convert everything to halves or decimals to avoid error.
Convert all to halves:
- 1/2 = 0.5 → 0.5 × 1 = 0.5
- 1 = 2/2 → 2/2 × 4 = 8/2 = 4
- 1 1/2 = 3/2 → 3/2 × 3 = 9/2 = 4.5
- 2 = 4/2 → 4/2 × 2 = 8/2 = 4
- 2 1/2 = 5/2 → 5/2 × 0 = 0
- 3 = 6/2 → 6/2 × 1 = 6/2 = 3
Now sum: 0.5 + 4 + 4.5 + 4 + 0 + 3
Add step by step:
0.5 + 4 = 4.5
4.5 + 4.5 = 9
9 + 4 = 13
13 + 3 = 16
Yes → 16 pounds
---
What is the difference in weights between the heaviest pumpkin and the lightest pumpkin sold?
Heaviest = 3 pounds
Lightest = 1/2 pound
Difference = 3 - 1/2 = 2 1/2 pounds
---
Final Answers:
What does each X represent? → One pumpkin
How many pumpkins did he sell? → 11
How much do the heaviest pumpkin(s) weigh? → 3 pounds
How many people bought a pumpkin that weighs 1/8 of a pound? → 0
How much do the lightest pumpkin(s) weigh? → 1/2 pound
How many people bought a pumpkin that weighs 1/8 of a pound? → 0
How many people bought a pumpkin that weighs 1/8 of a pound? → 0
How many people bought a pumpkin that weighs 5/8 of a pound? → 0
How many people bought a pumpkin that weighs 7/4 of a pound? → 0
How many people bought a pumpkin that weighs 3/4 of a pound? → 0
What is the total weight of all the pumpkins sold? → 16 pounds
What is the difference in weights between the heaviest pumpkin and the lightest pumpkin sold? → 2 1/2 pounds
──────────────────────────────────────
Final Answer:
Each X represents one pumpkin. He sold 11 pumpkins. The heaviest pumpkin weighs 3 pounds. 0 people bought a pumpkin weighing 1/8 pound. The lightest pumpkin weighs 1/2 pound. 0 people bought a pumpkin weighing 5/8 pound. 0 people bought a pumpkin weighing 7/4 pound. 0 people bought a pumpkin weighing 3/4 pound. Total weight of all pumpkins sold is 16 pounds. Difference between heaviest and lightest is 2 1/2 pounds.
Parent Tip: Review the logic above to help your child master the concept of line plots with fractions worksheets.
