Worksheet for practicing adding and subtracting fractions, designed for educational use.

Let's solve the Adding and Subtracting Fractions Worksheet 4 step by step. The task is to add or subtract the fractions and simplify the result if possible.

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Instructions:

- Add or subtract the fractions.
- Simplify each answer.
- If the answer is an improper fraction, write it as a mixed number.

We'll go through each problem one by one.

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1) $ \frac{5}{6} + \frac{3}{8} $

Find the least common denominator (LCD) of 6 and 8 → LCD = 24

Convert:
- $ \frac{5}{6} = \frac{5 \times 4}{6 \times 4} = \frac{20}{24} $
- $ \frac{3}{8} = \frac{3 \times 3}{8 \times 3} = \frac{9}{24} $

Add:
$ \frac{20}{24} + \frac{9}{24} = \frac{29}{24} $

Simplify: $ \frac{29}{24} = 1\frac{5}{24} $

✔ Answer: $ 1\frac{5}{24} $

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2) $ \frac{3}{4} - \frac{2}{5} $

LCD of 4 and 5 = 20

Convert:
- $ \frac{3}{4} = \frac{15}{20} $
- $ \frac{2}{5} = \frac{8}{20} $

Subtract:
$ \frac{15}{20} - \frac{8}{20} = \frac{7}{20} $

✔ Answer: $ \frac{7}{20} $

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3) $ \frac{2}{3} + \frac{2}{5} $

LCD of 3 and 5 = 15

Convert:
- $ \frac{2}{3} = \frac{10}{15} $
- $ \frac{2}{5} = \frac{6}{15} $

Add:
$ \frac{10}{15} + \frac{6}{15} = \frac{16}{15} $

Simplify: $ \frac{16}{15} = 1\frac{1}{15} $

✔ Answer: $ 1\frac{1}{15} $

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4) $ \frac{5}{6} - \frac{1}{4} $

LCD of 6 and 4 = 12

Convert:
- $ \frac{5}{6} = \frac{10}{12} $
- $ \frac{1}{4} = \frac{3}{12} $

Subtract:
$ \frac{10}{12} - \frac{3}{12} = \frac{7}{12} $

✔ Answer: $ \frac{7}{12} $

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5) $ \frac{1}{3} + \frac{3}{8} $

LCD of 3 and 8 = 24

Convert:
- $ \frac{1}{3} = \frac{8}{24} $
- $ \frac{3}{8} = \frac{9}{24} $

Add:
$ \frac{8}{24} + \frac{9}{24} = \frac{17}{24} $

✔ Answer: $ \frac{17}{24} $

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6) $ \frac{3}{4} + \frac{1}{6} $

LCD of 4 and 6 = 12

Convert:
- $ \frac{3}{4} = \frac{9}{12} $
- $ \frac{1}{6} = \frac{2}{12} $

Add:
$ \frac{9}{12} + \frac{2}{12} = \frac{11}{12} $

✔ Answer: $ \frac{11}{12} $

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7) $ \frac{1}{2} + \frac{3}{5} $

LCD of 2 and 5 = 10

Convert:
- $ \frac{1}{2} = \frac{5}{10} $
- $ \frac{3}{5} = \frac{6}{10} $

Add:
$ \frac{5}{10} + \frac{6}{10} = \frac{11}{10} $

Simplify: $ \frac{11}{10} = 1\frac{1}{10} $

✔ Answer: $ 1\frac{1}{10} $

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8) $ \frac{5}{6} - \frac{1}{3} $

LCD of 6 and 3 = 6

Convert:
- $ \frac{1}{3} = \frac{2}{6} $

Subtract:
$ \frac{5}{6} - \frac{2}{6} = \frac{3}{6} = \frac{1}{2} $

✔ Answer: $ \frac{1}{2} $

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9) $ \frac{1}{10} + \frac{1}{2} $

LCD of 10 and 2 = 10

Convert:
- $ \frac{1}{2} = \frac{5}{10} $

Add:
$ \frac{1}{10} + \frac{5}{10} = \frac{6}{10} = \frac{3}{5} $

✔ Answer: $ \frac{3}{5} $

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10) $ \frac{2}{3} - \frac{1}{4} $

LCD of 3 and 4 = 12

Convert:
- $ \frac{2}{3} = \frac{8}{12} $
- $ \frac{1}{4} = \frac{3}{12} $

Subtract:
$ \frac{8}{12} - \frac{3}{12} = \frac{5}{12} $

✔ Answer: $ \frac{5}{12} $

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11) $ \frac{1}{2} + \frac{1}{3} $

LCD of 2 and 3 = 6

Convert:
- $ \frac{1}{2} = \frac{3}{6} $
- $ \frac{1}{3} = \frac{2}{6} $

Add:
$ \frac{3}{6} + \frac{2}{6} = \frac{5}{6} $

✔ Answer: $ \frac{5}{6} $

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12) $ \frac{3}{4} + \frac{1}{5} $

LCD of 4 and 5 = 20

Convert:
- $ \frac{3}{4} = \frac{15}{20} $
- $ \frac{1}{5} = \frac{4}{20} $

Add:
$ \frac{15}{20} + \frac{4}{20} = \frac{19}{20} $

✔ Answer: $ \frac{19}{20} $

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13) $ \frac{3}{4} - \frac{1}{2} $

LCD of 4 and 2 = 4

Convert:
- $ \frac{1}{2} = \frac{2}{4} $

Subtract:
$ \frac{3}{4} - \frac{2}{4} = \frac{1}{4} $

✔ Answer: $ \frac{1}{4} $

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14) $ \frac{1}{6} + \frac{1}{4} $

LCD of 6 and 4 = 12

Convert:
- $ \frac{1}{6} = \frac{2}{12} $
- $ \frac{1}{4} = \frac{3}{12} $

Add:
$ \frac{2}{12} + \frac{3}{12} = \frac{5}{12} $

✔ Answer: $ \frac{5}{12} $

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15) $ \frac{1}{4} + \frac{1}{5} $

LCD of 4 and 5 = 20

Convert:
- $ \frac{1}{4} = \frac{5}{20} $
- $ \frac{1}{5} = \frac{4}{20} $

Add:
$ \frac{5}{20} + \frac{4}{20} = \frac{9}{20} $

✔ Answer: $ \frac{9}{20} $

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16) $ \frac{3}{5} + \frac{1}{2} $

LCD of 5 and 2 = 10

Convert:
- $ \frac{3}{5} = \frac{6}{10} $
- $ \frac{1}{2} = \frac{5}{10} $

Add:
$ \frac{6}{10} + \frac{5}{10} = \frac{11}{10} = 1\frac{1}{10} $

✔ Answer: $ 1\frac{1}{10} $

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17) $ \frac{2}{3} + \frac{1}{4} $

LCD of 3 and 4 = 12

Convert:
- $ \frac{2}{3} = \frac{8}{12} $
- $ \frac{1}{4} = \frac{3}{12} $

Add:
$ \frac{8}{12} + \frac{3}{12} = \frac{11}{12} $

✔ Answer: $ \frac{11}{12} $

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18) $ \frac{3}{4} - \frac{1}{6} $

LCD of 4 and 6 = 12

Convert:
- $ \frac{3}{4} = \frac{9}{12} $
- $ \frac{1}{6} = \frac{2}{12} $

Subtract:
$ \frac{9}{12} - \frac{2}{12} = \frac{7}{12} $

✔ Answer: $ \frac{7}{12} $

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19) $ \frac{1}{3} + \frac{1}{4} $

LCD of 3 and 4 = 12

Convert:
- $ \frac{1}{3} = \frac{4}{12} $
- $ \frac{1}{4} = \frac{3}{12} $

Add:
$ \frac{4}{12} + \frac{3}{12} = \frac{7}{12} $

✔ Answer: $ \frac{7}{12} $

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20) $ \frac{5}{6} - \frac{1}{3} $

This is the same as #8.

$ \frac{5}{6} - \frac{2}{6} = \frac{3}{6} = \frac{1}{2} $

✔ Answer: $ \frac{1}{2} $

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✔ Final Answers:

| Problem | Answer |
|--------|--------|
| 1 | $ 1\frac{5}{24} $ |
| 2 | $ \frac{7}{20} $ |
| 3 | $ 1\frac{1}{15} $ |
| 4 | $ \frac{7}{12} $ |
| 5 | $ \frac{17}{24} $ |
| 6 | $ \frac{11}{12} $ |
| 7 | $ 1\frac{1}{10} $ |
| 8 | $ \frac{1}{2} $ |
| 9 | $ \frac{3}{5} $ |
| 10 | $ \frac{5}{12} $ |
| 11 | $ \frac{5}{6} $ |
| 12 | $ \frac{19}{20} $ |
| 13 | $ \frac{1}{4} $ |
| 14 | $ \frac{5}{12} $ |
| 15 | $ \frac{9}{20} $ |
| 16 | $ 1\frac{1}{10} $ |
| 17 | $ \frac{11}{12} $ |
| 18 | $ \frac{7}{12} $ |
| 19 | $ \frac{7}{12} $ |
| 20 | $ \frac{1}{2} $ |

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🔍 Summary Tips:

- Always find the least common denominator (LCD).
- Convert fractions to equivalent fractions with the same denominator.
- Add or subtract numerators.
- Simplify the result and convert improper fractions to mixed numbers.

Let me know if you'd like this as a printable PDF or want explanations for any specific problem!