Subtracting Fractions Worksheets - Free Printable

Let's solve each of the subtraction problems on Subtracting Fractions Sheet 3 step by step. The goal is to subtract fractions and simplify the results where possible.

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Problem 1:

$$
\frac{1}{2} - \frac{1}{4}
$$

- Find a common denominator: LCD of 2 and 4 is 4
- Convert: $\frac{1}{2} = \frac{2}{4}$
- Subtract: $\frac{2}{4} - \frac{1}{4} = \frac{1}{4}$

✔ Answer: $\boxed{\frac{1}{4}}$

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Problem 2:

$$
\frac{3}{5} - \frac{1}{10}
$$

- LCD of 5 and 10 is 10
- Convert: $\frac{3}{5} = \frac{6}{10}$
- Subtract: $\frac{6}{10} - \frac{1}{10} = \frac{5}{10} = \frac{1}{2}$

✔ Answer: $\boxed{\frac{1}{2}}$

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Problem 3:

$$
\frac{4}{7} - \frac{2}{7}
$$

- Same denominator → subtract numerators:
- $\frac{4 - 2}{7} = \frac{2}{7}$

✔ Answer: $\boxed{\frac{2}{7}}$

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Problem 4:

$$
\frac{3}{4} - \frac{1}{8}
$$

- LCD of 4 and 8 is 8
- Convert: $\frac{3}{4} = \frac{6}{8}$
- Subtract: $\frac{6}{8} - \frac{1}{8} = \frac{5}{8}$

✔ Answer: $\boxed{\frac{5}{8}}$

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Problem 5:

$$
\frac{9}{10} - \frac{2}{5}
$$

- LCD of 10 and 5 is 10
- Convert: $\frac{2}{5} = \frac{4}{10}$
- Subtract: $\frac{9}{10} - \frac{4}{10} = \frac{5}{10} = \frac{1}{2}$

✔ Answer: $\boxed{\frac{1}{2}}$

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Problem 6:

$$
\frac{8}{9} - \frac{1}{3}
$$

- LCD of 9 and 3 is 9
- Convert: $\frac{1}{3} = \frac{3}{9}$
- Subtract: $\frac{8}{9} - \frac{3}{9} = \frac{5}{9}$

✔ Answer: $\boxed{\frac{5}{9}}$

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Problem 7:

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

- LCD of 6 and 3 is 6
- Convert: $\frac{1}{3} = \frac{2}{6}$
- Subtract: $\frac{5}{6} - \frac{2}{6} = \frac{3}{6} = \frac{1}{2}$

✔ Answer: $\boxed{\frac{1}{2}}$

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Problem 8:

$$
\frac{11}{12} - \frac{1}{6}
$$

- LCD of 12 and 6 is 12
- Convert: $\frac{1}{6} = \frac{2}{12}$
- Subtract: $\frac{11}{12} - \frac{2}{12} = \frac{9}{12} = \frac{3}{4}$

✔ Answer: $\boxed{\frac{3}{4}}$

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Problem 9:

$$
\frac{11}{12} - \frac{1}{4}
$$

- LCD of 12 and 4 is 12
- Convert: $\frac{1}{4} = \frac{3}{12}$
- Subtract: $\frac{11}{12} - \frac{3}{12} = \frac{8}{12} = \frac{2}{3}$

✔ Answer: $\boxed{\frac{2}{3}}$

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Problem 10:

$$
\frac{14}{15} - \frac{1}{5}
$$

- LCD of 15 and 5 is 15
- Convert: $\frac{1}{5} = \frac{3}{15}$
- Subtract: $\frac{14}{15} - \frac{3}{15} = \frac{11}{15}$

✔ Answer: $\boxed{\frac{11}{15}}$

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Problem 11:

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

- LCD of 3 and 6 is 6
- Convert: $\frac{2}{3} = \frac{4}{6}$
- Subtract: $\frac{4}{6} - \frac{1}{6} = \frac{3}{6} = \frac{1}{2}$

✔ Answer: $\boxed{\frac{1}{2}}$

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Problem 12:

$$
\frac{14}{15} - \frac{1}{3}
$$

- LCD of 15 and 3 is 15
- Convert: $\frac{1}{3} = \frac{5}{15}$
- Subtract: $\frac{14}{15} - \frac{5}{15} = \frac{9}{15} = \frac{3}{5}$

✔ Answer: $\boxed{\frac{3}{5}}$

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Problem 13:

$$
\frac{1}{2} - \frac{1}{8}
$$

- LCD of 2 and 8 is 8
- Convert: $\frac{1}{2} = \frac{4}{8}$
- Subtract: $\frac{4}{8} - \frac{1}{8} = \frac{3}{8}$

✔ Answer: $\boxed{\frac{3}{8}}$

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Problem 14:

$$
\frac{1}{2} - \frac{1}{6}
$$

- LCD of 2 and 6 is 6
- Convert: $\frac{1}{2} = \frac{3}{6}$
- Subtract: $\frac{3}{6} - \frac{1}{6} = \frac{2}{6} = \frac{1}{3}$

✔ Answer: $\boxed{\frac{1}{3}}$

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Problem 15:

$$
\frac{1}{2} - \frac{1}{10}
$$

- LCD of 2 and 10 is 10
- Convert: $\frac{1}{2} = \frac{5}{10}$
- Subtract: $\frac{5}{10} - \frac{1}{10} = \frac{4}{10} = \frac{2}{5}$

✔ Answer: $\boxed{\frac{2}{5}}$

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Problem 16:

$$
\frac{1}{2} - \frac{1}{4}
$$

- LCD of 2 and 4 is 4
- Convert: $\frac{1}{2} = \frac{2}{4}$
- Subtract: $\frac{2}{4} - \frac{1}{4} = \frac{1}{4}$

✔ Answer: $\boxed{\frac{1}{4}}$

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Problem 17:

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

- LCD of 6 and 2 is 6
- Convert: $\frac{1}{2} = \frac{3}{6}$
- Subtract: $\frac{5}{6} - \frac{3}{6} = \frac{2}{6} = \frac{1}{3}$

✔ Answer: $\boxed{\frac{1}{3}}$

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Problem 18:

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

- LCD of 4 and 2 is 4
- Convert: $\frac{1}{2} = \frac{2}{4}$
- Subtract: $\frac{3}{4} - \frac{2}{4} = \frac{1}{4}$

✔ Answer: $\boxed{\frac{1}{4}}$

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Problem 19:

$$
\frac{7}{8} - \frac{1}{4}
$$

- LCD of 8 and 4 is 8
- Convert: $\frac{1}{4} = \frac{2}{8}$
- Subtract: $\frac{7}{8} - \frac{2}{8} = \frac{5}{8}$

✔ Answer: $\boxed{\frac{5}{8}}$

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Problem 20:

$$
\frac{3}{5} - \frac{1}{10}
$$

- LCD of 5 and 10 is 10
- Convert: $\frac{3}{5} = \frac{6}{10}$
- Subtract: $\frac{6}{10} - \frac{1}{10} = \frac{5}{10} = \frac{1}{2}$

✔ Answer: $\boxed{\frac{1}{2}}$

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## ✔ Final Answers:

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

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🔍 Summary Tips:

- Always find the least common denominator (LCD).
- Convert fractions to have the same denominator.
- Subtract numerators and keep the denominator.
- Simplify the result if possible.

Let me know if you'd like this in printable format or need help with adding fractions too!