Math worksheet for practicing adding and subtracting fractions, featuring 20 problems and an answer column.
A worksheet titled "Adding & Subtracting Fractions" with 20 problems involving fractions, including addition and subtraction, and a column for answers on the right side. The worksheet is labeled "Math" at the bottom left and includes a website URL.
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Show Answer Key & Explanations
Step-by-step solution for: Adding & Subtracting Fractions Worksheet Download
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Show Answer Key & Explanations
Step-by-step solution for: Adding & Subtracting Fractions Worksheet Download
Let's solve each of these fraction addition and subtraction problems step by step. All the problems involve like denominators (same denominators), so we can simply add or subtract the numerators while keeping the denominator the same.
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- Numerator: $ 1 - 1 = 0 $
- Denominator: 2
- Answer: $ \frac{0}{2} = 0 $
✔ Answer: 0
---
- Numerator: $ 5 + 5 = 10 $
- Denominator: 6
- $ \frac{10}{6} $ → Simplify: divide numerator and denominator by 2 → $ \frac{5}{3} $
- $ \frac{5}{3} = 1\frac{2}{3} $
✔ Answer: $ \frac{5}{3} $ or $ 1\frac{2}{3} $
---
- Numerator: $ 4 - 1 = 3 $
- Denominator: 8
- $ \frac{3}{8} $
✔ Answer: $ \frac{3}{8} $
---
- Numerator: $ 7 + 6 = 13 $
- Denominator: 10
- $ \frac{13}{10} = 1\frac{3}{10} $
✔ Answer: $ \frac{13}{10} $ or $ 1\frac{3}{10} $
---
- Numerator: $ 2 - 1 = 1 $
- Denominator: 4
- $ \frac{1}{4} $
✔ Answer: $ \frac{1}{4} $
---
- Numerator: $ 3 + 2 = 5 $
- Denominator: 5
- $ \frac{5}{5} = 1 $
✔ Answer: 1
---
- Numerator: $ 3 - 3 = 0 $
- Denominator: 8
- $ \frac{0}{8} = 0 $
✔ Answer: 0
---
- Numerator: $ 4 + 3 = 7 $
- Denominator: 5
- $ \frac{7}{5} = 1\frac{2}{5} $
✔ Answer: $ \frac{7}{5} $ or $ 1\frac{2}{5} $
---
- Numerator: $ 3 - 1 = 2 $
- Denominator: 6
- $ \frac{2}{6} = \frac{1}{3} $ (simplify by dividing by 2)
✔ Answer: $ \frac{1}{3} $
---
- Numerator: $ 1 + 1 = 2 $
- Denominator: 3
- $ \frac{2}{3} $
✔ Answer: $ \frac{2}{3} $
---
- Numerator: $ 6 - 6 = 0 $
- Denominator: 8
- $ \frac{0}{8} = 0 $
✔ Answer: 0
---
- Numerator: $ 2 + 2 = 4 $
- Denominator: 6
- $ \frac{4}{6} = \frac{2}{3} $ (simplify by dividing by 2)
✔ Answer: $ \frac{2}{3} $
---
- Numerator: $ 3 - 3 = 0 $
- Denominator: 5
- $ \frac{0}{5} = 0 $
✔ Answer: 0
---
- Numerator: $ 8 + 8 = 16 $
- Denominator: 12
- $ \frac{16}{12} = \frac{4}{3} $ (divide numerator and denominator by 4)
- $ \frac{4}{3} = 1\frac{1}{3} $
✔ Answer: $ \frac{4}{3} $ or $ 1\frac{1}{3} $
---
- Numerator: $ 2 - 1 = 1 $
- Denominator: 3
- $ \frac{1}{3} $
✔ Answer: $ \frac{1}{3} $
---
- Numerator: $ 1 + 1 = 2 $
- Denominator: 4
- $ \frac{2}{4} = \frac{1}{2} $
✔ Answer: $ \frac{1}{2} $
---
- Numerator: $ 8 - 3 = 5 $
- Denominator: 10
- $ \frac{5}{10} = \frac{1}{2} $
✔ Answer: $ \frac{1}{2} $
---
- Numerator: $ 5 + 4 = 9 $
- Denominator: 12
- $ \frac{9}{12} = \frac{3}{4} $ (simplify by dividing by 3)
✔ Answer: $ \frac{3}{4} $
---
- Numerator: $ 3 - 2 = 1 $
- Denominator: 5
- $ \frac{1}{5} $
✔ Answer: $ \frac{1}{5} $
---
- Numerator: $ 5 + 1 = 6 $
- Denominator: 6
- $ \frac{6}{6} = 1 $
✔ Answer: 1
---
| Problem | Answer |
|--------|--------|
| 1 | 0 |
| 2 | $ \frac{5}{3} $ or $ 1\frac{2}{3} $ |
| 3 | $ \frac{3}{8} $ |
| 4 | $ \frac{13}{10} $ or $ 1\frac{3}{10} $ |
| 5 | $ \frac{1}{4} $ |
| 6 | 1 |
| 7 | 0 |
| 8 | $ \frac{7}{5} $ or $ 1\frac{2}{5} $ |
| 9 | $ \frac{1}{3} $ |
| 10 | $ \frac{2}{3} $ |
| 11 | 0 |
| 12 | $ \frac{2}{3} $ |
| 13 | 0 |
| 14 | $ \frac{4}{3} $ or $ 1\frac{1}{3} $ |
| 15 | $ \frac{1}{3} $ |
| 16 | $ \frac{1}{2} $ |
| 17 | $ \frac{1}{2} $ |
| 18 | $ \frac{3}{4} $ |
| 19 | $ \frac{1}{5} $ |
| 20 | 1 |
---
💡 Tips for solving such problems:
- Always check if the denominators are the same.
- If yes, just add/subtract the numerators.
- Simplify the result if possible.
- Convert improper fractions to mixed numbers if needed.
Let me know if you'd like a printable version or help with any specific problem!
---
1) $ \frac{1}{2} - \frac{1}{2} $
- Numerator: $ 1 - 1 = 0 $
- Denominator: 2
- Answer: $ \frac{0}{2} = 0 $
✔ Answer: 0
---
2) $ \frac{5}{6} + \frac{5}{6} $
- Numerator: $ 5 + 5 = 10 $
- Denominator: 6
- $ \frac{10}{6} $ → Simplify: divide numerator and denominator by 2 → $ \frac{5}{3} $
- $ \frac{5}{3} = 1\frac{2}{3} $
✔ Answer: $ \frac{5}{3} $ or $ 1\frac{2}{3} $
---
3) $ \frac{4}{8} - \frac{1}{8} $
- Numerator: $ 4 - 1 = 3 $
- Denominator: 8
- $ \frac{3}{8} $
✔ Answer: $ \frac{3}{8} $
---
4) $ \frac{7}{10} + \frac{6}{10} $
- Numerator: $ 7 + 6 = 13 $
- Denominator: 10
- $ \frac{13}{10} = 1\frac{3}{10} $
✔ Answer: $ \frac{13}{10} $ or $ 1\frac{3}{10} $
---
5) $ \frac{2}{4} - \frac{1}{4} $
- Numerator: $ 2 - 1 = 1 $
- Denominator: 4
- $ \frac{1}{4} $
✔ Answer: $ \frac{1}{4} $
---
6) $ \frac{3}{5} + \frac{2}{5} $
- Numerator: $ 3 + 2 = 5 $
- Denominator: 5
- $ \frac{5}{5} = 1 $
✔ Answer: 1
---
7) $ \frac{3}{8} - \frac{3}{8} $
- Numerator: $ 3 - 3 = 0 $
- Denominator: 8
- $ \frac{0}{8} = 0 $
✔ Answer: 0
---
8) $ \frac{4}{5} + \frac{3}{5} $
- Numerator: $ 4 + 3 = 7 $
- Denominator: 5
- $ \frac{7}{5} = 1\frac{2}{5} $
✔ Answer: $ \frac{7}{5} $ or $ 1\frac{2}{5} $
---
9) $ \frac{3}{6} - \frac{1}{6} $
- Numerator: $ 3 - 1 = 2 $
- Denominator: 6
- $ \frac{2}{6} = \frac{1}{3} $ (simplify by dividing by 2)
✔ Answer: $ \frac{1}{3} $
---
10) $ \frac{1}{3} + \frac{1}{3} $
- Numerator: $ 1 + 1 = 2 $
- Denominator: 3
- $ \frac{2}{3} $
✔ Answer: $ \frac{2}{3} $
---
11) $ \frac{6}{8} - \frac{6}{8} $
- Numerator: $ 6 - 6 = 0 $
- Denominator: 8
- $ \frac{0}{8} = 0 $
✔ Answer: 0
---
12) $ \frac{2}{6} + \frac{2}{6} $
- Numerator: $ 2 + 2 = 4 $
- Denominator: 6
- $ \frac{4}{6} = \frac{2}{3} $ (simplify by dividing by 2)
✔ Answer: $ \frac{2}{3} $
---
13) $ \frac{3}{5} - \frac{3}{5} $
- Numerator: $ 3 - 3 = 0 $
- Denominator: 5
- $ \frac{0}{5} = 0 $
✔ Answer: 0
---
14) $ \frac{8}{12} + \frac{8}{12} $
- Numerator: $ 8 + 8 = 16 $
- Denominator: 12
- $ \frac{16}{12} = \frac{4}{3} $ (divide numerator and denominator by 4)
- $ \frac{4}{3} = 1\frac{1}{3} $
✔ Answer: $ \frac{4}{3} $ or $ 1\frac{1}{3} $
---
15) $ \frac{2}{3} - \frac{1}{3} $
- Numerator: $ 2 - 1 = 1 $
- Denominator: 3
- $ \frac{1}{3} $
✔ Answer: $ \frac{1}{3} $
---
16) $ \frac{1}{4} + \frac{1}{4} $
- Numerator: $ 1 + 1 = 2 $
- Denominator: 4
- $ \frac{2}{4} = \frac{1}{2} $
✔ Answer: $ \frac{1}{2} $
---
17) $ \frac{8}{10} - \frac{3}{10} $
- Numerator: $ 8 - 3 = 5 $
- Denominator: 10
- $ \frac{5}{10} = \frac{1}{2} $
✔ Answer: $ \frac{1}{2} $
---
18) $ \frac{5}{12} + \frac{4}{12} $
- Numerator: $ 5 + 4 = 9 $
- Denominator: 12
- $ \frac{9}{12} = \frac{3}{4} $ (simplify by dividing by 3)
✔ Answer: $ \frac{3}{4} $
---
19) $ \frac{3}{5} - \frac{2}{5} $
- Numerator: $ 3 - 2 = 1 $
- Denominator: 5
- $ \frac{1}{5} $
✔ Answer: $ \frac{1}{5} $
---
20) $ \frac{5}{6} + \frac{1}{6} $
- Numerator: $ 5 + 1 = 6 $
- Denominator: 6
- $ \frac{6}{6} = 1 $
✔ Answer: 1
---
✔ Final Answers:
| Problem | Answer |
|--------|--------|
| 1 | 0 |
| 2 | $ \frac{5}{3} $ or $ 1\frac{2}{3} $ |
| 3 | $ \frac{3}{8} $ |
| 4 | $ \frac{13}{10} $ or $ 1\frac{3}{10} $ |
| 5 | $ \frac{1}{4} $ |
| 6 | 1 |
| 7 | 0 |
| 8 | $ \frac{7}{5} $ or $ 1\frac{2}{5} $ |
| 9 | $ \frac{1}{3} $ |
| 10 | $ \frac{2}{3} $ |
| 11 | 0 |
| 12 | $ \frac{2}{3} $ |
| 13 | 0 |
| 14 | $ \frac{4}{3} $ or $ 1\frac{1}{3} $ |
| 15 | $ \frac{1}{3} $ |
| 16 | $ \frac{1}{2} $ |
| 17 | $ \frac{1}{2} $ |
| 18 | $ \frac{3}{4} $ |
| 19 | $ \frac{1}{5} $ |
| 20 | 1 |
---
💡 Tips for solving such problems:
- Always check if the denominators are the same.
- If yes, just add/subtract the numerators.
- Simplify the result if possible.
- Convert improper fractions to mixed numbers if needed.
Let me know if you'd like a printable version or help with any specific problem!
Parent Tip: Review the logic above to help your child master the concept of adding and subtracting fractions worksheet with answer key.