Add & Subtract Fractions Worksheets for Grade 5 | Worsheets library - Free Printable

Let's solve each of the fraction subtraction problems step by step. The key to subtracting fractions is to have a common denominator. If the denominators are different, we need to find the least common denominator (LCD) and convert both fractions accordingly.

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1. $\frac{1}{2} - \frac{1}{11}$

- LCD of 2 and 11 is 22.
- Convert:
$\frac{1}{2} = \frac{11}{22}$,
$\frac{1}{11} = \frac{2}{22}$
- Subtract:
$\frac{11}{22} - \frac{2}{22} = \frac{9}{22}$

✔ Answer: $\frac{9}{22}$

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2. $\frac{4}{6} - \frac{2}{6}$

- Same denominator → subtract numerators:
$\frac{4 - 2}{6} = \frac{2}{6}$
- Simplify: $\frac{2}{6} = \frac{1}{3}$

✔ Answer: $\frac{1}{3}$

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

- LCD of 3 and 4 is 12.
- Convert:
$\frac{1}{3} = \frac{4}{12}$,
$\frac{1}{4} = \frac{3}{12}$
- Subtract:
$\frac{4}{12} - \frac{3}{12} = \frac{1}{12}$

✔ Answer: $\frac{1}{12}$

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4. $\frac{2}{3} - \frac{3}{8}$

- LCD of 3 and 8 is 24.
- Convert:
$\frac{2}{3} = \frac{16}{24}$,
$\frac{3}{8} = \frac{9}{24}$
- Subtract:
$\frac{16}{24} - \frac{9}{24} = \frac{7}{24}$

✔ Answer: $\frac{7}{24}$

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

- LCD of 3 and 4 is 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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6. $\frac{4}{6} - \frac{4}{8}$

- Simplify first:
$\frac{4}{6} = \frac{2}{3}$,
$\frac{4}{8} = \frac{1}{2}$
- Now: $\frac{2}{3} - \frac{1}{2}$
- LCD of 3 and 2 is 6.
- Convert:
$\frac{2}{3} = \frac{4}{6}$,
$\frac{1}{2} = \frac{3}{6}$
- Subtract:
$\frac{4}{6} - \frac{3}{6} = \frac{1}{6}$

✔ Answer: $\frac{1}{6}$

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

- Same denominator:
$\frac{2 - 1}{8} = \frac{1}{8}$

✔ Answer: $\frac{1}{8}$

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

- Simplify: $\frac{2}{4} = \frac{1}{2}$
- Now: $\frac{1}{2} - \frac{2}{7}$
- LCD of 2 and 7 is 14.
- Convert:
$\frac{1}{2} = \frac{7}{14}$,
$\frac{2}{7} = \frac{4}{14}$
- Subtract:
$\frac{7}{14} - \frac{4}{14} = \frac{3}{14}$

✔ Answer: $\frac{3}{14}$

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9. $\frac{7}{9} - \frac{13}{21}$

- LCD of 9 and 21 is 63.
- Convert:
$\frac{7}{9} = \frac{49}{63}$,
$\frac{13}{21} = \frac{39}{63}$
- Subtract:
$\frac{49}{63} - \frac{39}{63} = \frac{10}{63}$

✔ Answer: $\frac{10}{63}$

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10. $\frac{9}{15} - \frac{1}{2}$

- Simplify: $\frac{9}{15} = \frac{3}{5}$
- Now: $\frac{3}{5} - \frac{1}{2}$
- LCD of 5 and 2 is 10.
- Convert:
$\frac{3}{5} = \frac{6}{10}$,
$\frac{1}{2} = \frac{5}{10}$
- Subtract:
$\frac{6}{10} - \frac{5}{10} = \frac{1}{10}$

✔ Answer: $\frac{1}{10}$

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✔ Final Answers:

1. $\frac{9}{22}$
2. $\frac{1}{3}$
3. $\frac{1}{12}$
4. $\frac{7}{24}$
5. $\frac{5}{12}$
6. $\frac{1}{6}$
7. $\frac{1}{8}$
8. $\frac{3}{14}$
9. $\frac{10}{63}$
10. $\frac{1}{10}$

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