This worksheet helps students practice plotting mixed numbers like 5 4/5 and 7 4/5 on number lines ranging from 5 to 8.
Number lines worksheet for plotting mixed numbers with denominators of 5, ranging from 5 to 8.
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Step-by-step solution for: Fractions on a Number Line -Worksheets Library
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Show Answer Key & Explanations
Step-by-step solution for: Fractions on a Number Line -Worksheets Library
You’re working on a “Number Lines - Fractions” worksheet from Superstar Worksheets. The task is to identify where each set of mixed numbers should be placed on the number line, which ranges from 5 to 8.
Each number line is divided into whole numbers: 5, 6, 7, 8. Since all the fractions have denominators of 5 (like 1/5, 2/5, 4/5), we can assume that each unit (e.g., from 5 to 6) is divided into 5 equal parts — meaning each tick mark between whole numbers represents 1/5.
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## 🔢 Problem 1:
Fractions: 5 ⁴⁄₅ and 7 ⁴⁄₅
- 5 ⁴⁄₅ → This is 4/5 of the way from 5 to 6.
- So, count 4 small ticks after 5 → place point there.
- 7 ⁴⁄₅ → This is 4/5 of the way from 7 to 8.
- Count 4 small ticks after 7 → place point there.
✔ Answer for #1: Place points at 4/5 after 5 and 4/5 after 7.
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## 🔢 Problem 2:
Fractions: 6 ²⁄₅ and 7 ¹⁄₅
- 6 ²⁄₅ → 2/5 of the way from 6 to 7 → 2 ticks after 6.
- 7 ¹⁄₅ → 1/5 of the way from 7 to 8 → 1 tick after 7.
✔ Answer for #2: Place points at 2/5 after 6 and 1/5 after 7.
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## 🔢 Problem 3:
Fractions: 6 ²⁄₅ and 5 ²⁄₅
- 6 ²⁄₅ → 2/5 after 6.
- 5 ²⁄₅ → 2/5 after 5.
✔ Answer for #3: Place points at 2/5 after 5 and 2/5 after 6.
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## 🔢 Problem 4:
Fractions: 6 ⁴⁄₅ and 6 ¹⁄₅
- 6 ⁴⁄₅ → 4/5 after 6.
- 6 ¹⁄₅ → 1/5 after 6.
✔ Answer for #4: Both points are between 6 and 7 — one at 1/5, one at 4/5 after 6.
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## 🔢 Problem 5:
Fractions: 7 ¹⁄₅ and 5 ⁴⁄₅
- 7 ¹⁄₅ → 1/5 after 7.
- 5 ⁴⁄₅ → 4/5 after 5.
✔ Answer for #5: Place points at 4/5 after 5 and 1/5 after 7.
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## 🧭 Visual Summary (for each number line):
Since you can’t draw here, I’ll describe where to mark each point using “ticks” (assuming 5 equal divisions per unit):
> Each segment between whole numbers (e.g., 5–6) has 5 small ticks:
> Tick 0 = whole number
> Tick 1 = +1/5
> Tick 2 = +2/5
> Tick 3 = +3/5
> Tick 4 = +4/5
> Tick 5 = next whole number
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| Problem | Fraction | Location (from left) |
|---------|---------------|----------------------------------|
| 1 | 5 ⁴⁄₅ | 4th tick after 5 |
| | 7 ⁴⁄₅ | 4th tick after 7 |
| 2 | 6 ²⁄₅ | 2nd tick after 6 |
| | 7 ¹⁄₅ | 1st tick after 7 |
| 3 | 6 ²⁄₅ | 2nd tick after 6 |
| | 5 ²⁄₅ | 2nd tick after 5 |
| 4 | 6 ⁴⁄₅ | 4th tick after 6 |
| | 6 ¹⁄₅ | 1st tick after 6 |
| 5 | 7 ¹⁄₅ | 1st tick after 7 |
| | 5 ⁴⁄₅ | 4th tick after 5 |
---
## 💡 Tip:
When placing mixed numbers on a number line:
1. Find the whole number part (e.g., in 6 ²⁄₅, the whole number is 6).
2. Look between that whole number and the next (6 to 7).
3. Divide that space into as many parts as the denominator (here, 5 parts).
4. Count forward the numerator number of parts (e.g., 2 parts for ²⁄₅).
---
✔ You’ve now solved all 5 problems! Just mark those points on each number line accordingly.
Let me know if you’d like a printable version or visual diagram!
Each number line is divided into whole numbers: 5, 6, 7, 8. Since all the fractions have denominators of 5 (like 1/5, 2/5, 4/5), we can assume that each unit (e.g., from 5 to 6) is divided into 5 equal parts — meaning each tick mark between whole numbers represents 1/5.
---
Let’s solve each problem one by one:
---
## 🔢 Problem 1:
Fractions: 5 ⁴⁄₅ and 7 ⁴⁄₅
- 5 ⁴⁄₅ → This is 4/5 of the way from 5 to 6.
- So, count 4 small ticks after 5 → place point there.
- 7 ⁴⁄₅ → This is 4/5 of the way from 7 to 8.
- Count 4 small ticks after 7 → place point there.
✔ Answer for #1: Place points at 4/5 after 5 and 4/5 after 7.
---
## 🔢 Problem 2:
Fractions: 6 ²⁄₅ and 7 ¹⁄₅
- 6 ²⁄₅ → 2/5 of the way from 6 to 7 → 2 ticks after 6.
- 7 ¹⁄₅ → 1/5 of the way from 7 to 8 → 1 tick after 7.
✔ Answer for #2: Place points at 2/5 after 6 and 1/5 after 7.
---
## 🔢 Problem 3:
Fractions: 6 ²⁄₅ and 5 ²⁄₅
- 6 ²⁄₅ → 2/5 after 6.
- 5 ²⁄₅ → 2/5 after 5.
✔ Answer for #3: Place points at 2/5 after 5 and 2/5 after 6.
---
## 🔢 Problem 4:
Fractions: 6 ⁴⁄₅ and 6 ¹⁄₅
- 6 ⁴⁄₅ → 4/5 after 6.
- 6 ¹⁄₅ → 1/5 after 6.
✔ Answer for #4: Both points are between 6 and 7 — one at 1/5, one at 4/5 after 6.
---
## 🔢 Problem 5:
Fractions: 7 ¹⁄₅ and 5 ⁴⁄₅
- 7 ¹⁄₅ → 1/5 after 7.
- 5 ⁴⁄₅ → 4/5 after 5.
✔ Answer for #5: Place points at 4/5 after 5 and 1/5 after 7.
---
## 🧭 Visual Summary (for each number line):
Since you can’t draw here, I’ll describe where to mark each point using “ticks” (assuming 5 equal divisions per unit):
> Each segment between whole numbers (e.g., 5–6) has 5 small ticks:
> Tick 0 = whole number
> Tick 1 = +1/5
> Tick 2 = +2/5
> Tick 3 = +3/5
> Tick 4 = +4/5
> Tick 5 = next whole number
---
✍️ Final Placement Guide:
| Problem | Fraction | Location (from left) |
|---------|---------------|----------------------------------|
| 1 | 5 ⁴⁄₅ | 4th tick after 5 |
| | 7 ⁴⁄₅ | 4th tick after 7 |
| 2 | 6 ²⁄₅ | 2nd tick after 6 |
| | 7 ¹⁄₅ | 1st tick after 7 |
| 3 | 6 ²⁄₅ | 2nd tick after 6 |
| | 5 ²⁄₅ | 2nd tick after 5 |
| 4 | 6 ⁴⁄₅ | 4th tick after 6 |
| | 6 ¹⁄₅ | 1st tick after 6 |
| 5 | 7 ¹⁄₅ | 1st tick after 7 |
| | 5 ⁴⁄₅ | 4th tick after 5 |
---
## 💡 Tip:
When placing mixed numbers on a number line:
1. Find the whole number part (e.g., in 6 ²⁄₅, the whole number is 6).
2. Look between that whole number and the next (6 to 7).
3. Divide that space into as many parts as the denominator (here, 5 parts).
4. Count forward the numerator number of parts (e.g., 2 parts for ²⁄₅).
---
✔ You’ve now solved all 5 problems! Just mark those points on each number line accordingly.
Let me know if you’d like a printable version or visual diagram!
Parent Tip: Review the logic above to help your child master the concept of fractions of a number worksheet.