Subtracting fractions with the same denominator worksheet for math practice.
Worksheet for subtracting fractions with the same denominator, featuring math problems on a grid background.
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Show Answer Key & Explanations
Step-by-step solution for: Adding and Subtracting Fractions with Like Denominators worksheet ...
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Show Answer Key & Explanations
Step-by-step solution for: Adding and Subtracting Fractions with Like Denominators worksheet ...
Let's solve each of these fraction subtraction problems step by step. The key rule, as mentioned in the instructions, is:
> When subtracting fractions with the same denominator, subtract the numerators and keep the denominator the same.
---
#### 1. $ \frac{7}{9} - \frac{1}{9} $
- Subtract numerators: $ 7 - 1 = 6 $
- Keep denominator: $ 9 $
- Answer: $ \frac{6}{9} $
✔ Simplify: $ \frac{6}{9} = \frac{2}{3} $
#### 2. $ \frac{4}{6} - \frac{1}{6} $
- $ 4 - 1 = 3 $
- Denominator stays 6
- Answer: $ \frac{3}{6} $
✔ Simplify: $ \frac{3}{6} = \frac{1}{2} $
#### 3. $ \frac{6}{8} - \frac{1}{8} $
- $ 6 - 1 = 5 $
- Denominator: 8
- Answer: $ \frac{5}{8} $
✔ Already simplified.
#### 4. $ \frac{6}{9} - \frac{1}{9} $
- $ 6 - 1 = 5 $
- Denominator: 9
- Answer: $ \frac{5}{9} $
✔ Already simplified.
#### 5. $ \frac{5}{7} - \frac{1}{7} $
- $ 5 - 1 = 4 $
- Denominator: 7
- Answer: $ \frac{4}{7} $
✔ Already simplified.
#### 6. $ \frac{3}{5} - \frac{1}{5} $
- $ 3 - 1 = 2 $
- Denominator: 5
- Answer: $ \frac{2}{5} $
✔ Already simplified.
#### 7. $ \frac{3}{6} - \frac{1}{6} $
- $ 3 - 1 = 2 $
- Denominator: 6
- Answer: $ \frac{2}{6} $
✔ Simplify: $ \frac{2}{6} = \frac{1}{3} $
#### 8. $ \frac{5}{8} - \frac{1}{8} $
- $ 5 - 1 = 4 $
- Denominator: 8
- Answer: $ \frac{4}{8} $
✔ Simplify: $ \frac{4}{8} = \frac{1}{2} $
#### 9. $ \frac{4}{7} - \frac{1}{7} $
- $ 4 - 1 = 3 $
- Denominator: 7
- Answer: $ \frac{3}{7} $
✔ Already simplified.
#### 10. $ \frac{5}{9} - \frac{1}{9} $
- $ 5 - 1 = 4 $
- Denominator: 9
- Answer: $ \frac{4}{9} $
✔ Already simplified.
#### 11. $ \frac{2}{5} - \frac{1}{5} $
- $ 2 - 1 = 1 $
- Denominator: 5
- Answer: $ \frac{1}{5} $
✔ Already simplified.
#### 12. $ \frac{2}{6} - \frac{1}{6} $
- $ 2 - 1 = 1 $
- Denominator: 6
- Answer: $ \frac{1}{6} $
✔ Already simplified.
#### 13. $ \frac{4}{9} - \frac{1}{9} $
- $ 4 - 1 = 3 $
- Denominator: 9
- Answer: $ \frac{3}{9} $
✔ Simplify: $ \frac{3}{9} = \frac{1}{3} $
#### 14. $ \frac{4}{8} - \frac{1}{8} $
- $ 4 - 1 = 3 $
- Denominator: 8
- Answer: $ \frac{3}{8} $
✔ Already simplified.
#### 15. $ \frac{3}{7} - \frac{1}{7} $
- $ 3 - 1 = 2 $
- Denominator: 7
- Answer: $ \frac{2}{7} $
✔ Already simplified.
---
| Problem | Answer |
|--------|--------|
| $ \frac{7}{9} - \frac{1}{9} $ | $ \frac{2}{3} $ |
| $ \frac{4}{6} - \frac{1}{6} $ | $ \frac{1}{2} $ |
| $ \frac{6}{8} - \frac{1}{8} $ | $ \frac{5}{8} $ |
| $ \frac{6}{9} - \frac{1}{9} $ | $ \frac{5}{9} $ |
| $ \frac{5}{7} - \frac{1}{7} $ | $ \frac{4}{7} $ |
| $ \frac{3}{5} - \frac{1}{5} $ | $ \frac{2}{5} $ |
| $ \frac{3}{6} - \frac{1}{6} $ | $ \frac{1}{3} $ |
| $ \frac{5}{8} - \frac{1}{8} $ | $ \frac{1}{2} $ |
| $ \frac{4}{7} - \frac{1}{7} $ | $ \frac{3}{7} $ |
| $ \frac{5}{9} - \frac{1}{9} $ | $ \frac{4}{9} $ |
| $ \frac{2}{5} - \frac{1}{5} $ | $ \frac{1}{5} $ |
| $ \frac{2}{6} - \frac{1}{6} $ | $ \frac{1}{6} $ |
| $ \frac{4}{9} - \frac{1}{9} $ | $ \frac{1}{3} $ |
| $ \frac{4}{8} - \frac{1}{8} $ | $ \frac{3}{8} $ |
| $ \frac{3}{7} - \frac{1}{7} $ | $ \frac{2}{7} $ |
---
To subtract fractions with the same denominator:
1. Subtract the numerators.
2. Keep the denominator unchanged.
3. Simplify the result if possible.
This method works because both fractions represent parts of the same whole (same denominator), so we can directly compare or subtract their parts.
Let me know if you'd like this turned into a printable worksheet!
> When subtracting fractions with the same denominator, subtract the numerators and keep the denominator the same.
---
🔹 Step-by-step Solutions:
#### 1. $ \frac{7}{9} - \frac{1}{9} $
- Subtract numerators: $ 7 - 1 = 6 $
- Keep denominator: $ 9 $
- Answer: $ \frac{6}{9} $
✔ Simplify: $ \frac{6}{9} = \frac{2}{3} $
#### 2. $ \frac{4}{6} - \frac{1}{6} $
- $ 4 - 1 = 3 $
- Denominator stays 6
- Answer: $ \frac{3}{6} $
✔ Simplify: $ \frac{3}{6} = \frac{1}{2} $
#### 3. $ \frac{6}{8} - \frac{1}{8} $
- $ 6 - 1 = 5 $
- Denominator: 8
- Answer: $ \frac{5}{8} $
✔ Already simplified.
#### 4. $ \frac{6}{9} - \frac{1}{9} $
- $ 6 - 1 = 5 $
- Denominator: 9
- Answer: $ \frac{5}{9} $
✔ Already simplified.
#### 5. $ \frac{5}{7} - \frac{1}{7} $
- $ 5 - 1 = 4 $
- Denominator: 7
- Answer: $ \frac{4}{7} $
✔ Already simplified.
#### 6. $ \frac{3}{5} - \frac{1}{5} $
- $ 3 - 1 = 2 $
- Denominator: 5
- Answer: $ \frac{2}{5} $
✔ Already simplified.
#### 7. $ \frac{3}{6} - \frac{1}{6} $
- $ 3 - 1 = 2 $
- Denominator: 6
- Answer: $ \frac{2}{6} $
✔ Simplify: $ \frac{2}{6} = \frac{1}{3} $
#### 8. $ \frac{5}{8} - \frac{1}{8} $
- $ 5 - 1 = 4 $
- Denominator: 8
- Answer: $ \frac{4}{8} $
✔ Simplify: $ \frac{4}{8} = \frac{1}{2} $
#### 9. $ \frac{4}{7} - \frac{1}{7} $
- $ 4 - 1 = 3 $
- Denominator: 7
- Answer: $ \frac{3}{7} $
✔ Already simplified.
#### 10. $ \frac{5}{9} - \frac{1}{9} $
- $ 5 - 1 = 4 $
- Denominator: 9
- Answer: $ \frac{4}{9} $
✔ Already simplified.
#### 11. $ \frac{2}{5} - \frac{1}{5} $
- $ 2 - 1 = 1 $
- Denominator: 5
- Answer: $ \frac{1}{5} $
✔ Already simplified.
#### 12. $ \frac{2}{6} - \frac{1}{6} $
- $ 2 - 1 = 1 $
- Denominator: 6
- Answer: $ \frac{1}{6} $
✔ Already simplified.
#### 13. $ \frac{4}{9} - \frac{1}{9} $
- $ 4 - 1 = 3 $
- Denominator: 9
- Answer: $ \frac{3}{9} $
✔ Simplify: $ \frac{3}{9} = \frac{1}{3} $
#### 14. $ \frac{4}{8} - \frac{1}{8} $
- $ 4 - 1 = 3 $
- Denominator: 8
- Answer: $ \frac{3}{8} $
✔ Already simplified.
#### 15. $ \frac{3}{7} - \frac{1}{7} $
- $ 3 - 1 = 2 $
- Denominator: 7
- Answer: $ \frac{2}{7} $
✔ Already simplified.
---
✔ Final Answers (in simplified form):
| Problem | Answer |
|--------|--------|
| $ \frac{7}{9} - \frac{1}{9} $ | $ \frac{2}{3} $ |
| $ \frac{4}{6} - \frac{1}{6} $ | $ \frac{1}{2} $ |
| $ \frac{6}{8} - \frac{1}{8} $ | $ \frac{5}{8} $ |
| $ \frac{6}{9} - \frac{1}{9} $ | $ \frac{5}{9} $ |
| $ \frac{5}{7} - \frac{1}{7} $ | $ \frac{4}{7} $ |
| $ \frac{3}{5} - \frac{1}{5} $ | $ \frac{2}{5} $ |
| $ \frac{3}{6} - \frac{1}{6} $ | $ \frac{1}{3} $ |
| $ \frac{5}{8} - \frac{1}{8} $ | $ \frac{1}{2} $ |
| $ \frac{4}{7} - \frac{1}{7} $ | $ \frac{3}{7} $ |
| $ \frac{5}{9} - \frac{1}{9} $ | $ \frac{4}{9} $ |
| $ \frac{2}{5} - \frac{1}{5} $ | $ \frac{1}{5} $ |
| $ \frac{2}{6} - \frac{1}{6} $ | $ \frac{1}{6} $ |
| $ \frac{4}{9} - \frac{1}{9} $ | $ \frac{1}{3} $ |
| $ \frac{4}{8} - \frac{1}{8} $ | $ \frac{3}{8} $ |
| $ \frac{3}{7} - \frac{1}{7} $ | $ \frac{2}{7} $ |
---
📝 Summary:
To subtract fractions with the same denominator:
1. Subtract the numerators.
2. Keep the denominator unchanged.
3. Simplify the result if possible.
This method works because both fractions represent parts of the same whole (same denominator), so we can directly compare or subtract their parts.
Let me know if you'd like this turned into a printable worksheet!
Parent Tip: Review the logic above to help your child master the concept of adding and subtracting fractions with like denominators worksheet 4th grade.