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

Of course! Let's solve each of these adding unlike fractions problems step by step.

To add fractions with different denominators (unlike fractions), we need to:

1. Find the Least Common Denominator (LCD) — the smallest number that both denominators divide into evenly.
2. Convert each fraction to an equivalent fraction with the LCD as the denominator.
3. Add the numerators, keeping the common denominator.
4. Simplify the result if possible (reduce to lowest terms or convert to a mixed number).

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Let’s go problem by problem.

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Problem 1:

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

- LCD of 2 and 3 is 6
- Convert: $\frac{1}{2} = \frac{3}{6}$, $\frac{2}{3} = \frac{4}{6}$
- Add: $\frac{3}{6} + \frac{4}{6} = \frac{7}{6}$
- Simplify: $\frac{7}{6} = 1\frac{1}{6}$

✔ Answer: $1\frac{1}{6}$

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Problem 2:

$\frac{8}{12} + \frac{8}{11}$

- First, simplify $\frac{8}{12} = \frac{2}{3}$
- Now: $\frac{2}{3} + \frac{8}{11}$
- LCD of 3 and 11 is 33
- Convert: $\frac{2}{3} = \frac{22}{33}$, $\frac{8}{11} = \frac{24}{33}$
- Add: $\frac{22}{33} + \frac{24}{33} = \frac{46}{33}$
- Simplify: $\frac{46}{33} = 1\frac{13}{33}$

✔ Answer: $1\frac{13}{33}$

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Problem 3:

$\frac{2}{7} + \frac{6}{10}$

- Simplify $\frac{6}{10} = \frac{3}{5}$
- Now: $\frac{2}{7} + \frac{3}{5}$
- LCD of 7 and 5 is 35
- Convert: $\frac{2}{7} = \frac{10}{35}$, $\frac{3}{5} = \frac{21}{35}$
- Add: $\frac{10}{35} + \frac{21}{35} = \frac{31}{35}$
- Already simplified.

✔ Answer: $\frac{31}{35}$

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Problem 4:

$\frac{1}{6} + \frac{6}{11}$

- LCD of 6 and 11 is 66
- Convert: $\frac{1}{6} = \frac{11}{66}$, $\frac{6}{11} = \frac{36}{66}$
- Add: $\frac{11}{66} + \frac{36}{66} = \frac{47}{66}$
- Already simplified.

✔ Answer: $\frac{47}{66}$

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Problem 5:

$\frac{5}{9} + \frac{1}{2}$

- LCD of 9 and 2 is 18
- Convert: $\frac{5}{9} = \frac{10}{18}$, $\frac{1}{2} = \frac{9}{18}$
- Add: $\frac{10}{18} + \frac{9}{18} = \frac{19}{18}$
- Simplify: $\frac{19}{18} = 1\frac{1}{18}$

✔ Answer: $1\frac{1}{18}$

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Problem 6:

$\frac{9}{12} + \frac{2}{12}$

- Same denominator! Just add numerators.
- $\frac{9}{12} + \frac{2}{12} = \frac{11}{12}$
- Already simplified.

✔ Answer: $\frac{11}{12}$

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Problem 7:

$\frac{2}{7} + \frac{1}{2}$

- LCD of 7 and 2 is 14
- Convert: $\frac{2}{7} = \frac{4}{14}$, $\frac{1}{2} = \frac{7}{14}$
- Add: $\frac{4}{14} + \frac{7}{14} = \frac{11}{14}$

✔ Answer: $\frac{11}{14}$

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Problem 8:

$\frac{1}{4} + \frac{6}{8}$

- Simplify $\frac{6}{8} = \frac{3}{4}$
- Now: $\frac{1}{4} + \frac{3}{4} = \frac{4}{4} = 1$

✔ Answer: $1$

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Problem 9:

$\frac{4}{10} + \frac{4}{5}$

- Simplify $\frac{4}{10} = \frac{2}{5}$
- Now: $\frac{2}{5} + \frac{4}{5} = \frac{6}{5}$
- Simplify: $\frac{6}{5} = 1\frac{1}{5}$

✔ Answer: $1\frac{1}{5}$

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Problem 10:

$\frac{1}{2} + \frac{8}{11}$

- LCD of 2 and 11 is 22
- Convert: $\frac{1}{2} = \frac{11}{22}$, $\frac{8}{11} = \frac{16}{22}$
- Add: $\frac{11}{22} + \frac{16}{22} = \frac{27}{22}$
- Simplify: $\frac{27}{22} = 1\frac{5}{22}$

✔ Answer: $1\frac{5}{22}$

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Problem 11:

$\frac{1}{11} + \frac{2}{12}$

- Simplify $\frac{2}{12} = \frac{1}{6}$
- Now: $\frac{1}{11} + \frac{1}{6}$
- LCD of 11 and 6 is 66
- Convert: $\frac{1}{11} = \frac{6}{66}$, $\frac{1}{6} = \frac{11}{66}$
- Add: $\frac{6}{66} + \frac{11}{66} = \frac{17}{66}$

✔ Answer: $\frac{17}{66}$

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Problem 12:

$\frac{2}{12} + \frac{2}{4}$

- Simplify: $\frac{2}{12} = \frac{1}{6}$, $\frac{2}{4} = \frac{1}{2}$
- Now: $\frac{1}{6} + \frac{1}{2}$
- LCD of 6 and 2 is 6
- Convert: $\frac{1}{6} = \frac{1}{6}$, $\frac{1}{2} = \frac{3}{6}$
- Add: $\frac{1}{6} + \frac{3}{6} = \frac{4}{6} = \frac{2}{3}$

✔ Answer: $\frac{2}{3}$

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Problem 13:

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

- LCD of 5 and 8 is 40
- Convert: $\frac{3}{5} = \frac{24}{40}$, $\frac{3}{8} = \frac{15}{40}$
- Add: $\frac{24}{40} + \frac{15}{40} = \frac{39}{40}$

✔ Answer: $\frac{39}{40}$

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Problem 14:

$\frac{6}{9} + \frac{1}{2}$

- Simplify $\frac{6}{9} = \frac{2}{3}$
- Now: $\frac{2}{3} + \frac{1}{2}$
- LCD of 3 and 2 is 6
- Convert: $\frac{2}{3} = \frac{4}{6}$, $\frac{1}{2} = \frac{3}{6}$
- Add: $\frac{4}{6} + \frac{3}{6} = \frac{7}{6} = 1\frac{1}{6}$

✔ Answer: $1\frac{1}{6}$

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## ✔ Final Answers Summary:

1. $1\frac{1}{6}$
2. $1\frac{13}{33}$
3. $\frac{31}{35}$
4. $\frac{47}{66}$
5. $1\frac{1}{18}$
6. $\frac{11}{12}$
7. $\frac{11}{14}$
8. $1$
9. $1\frac{1}{5}$
10. $1\frac{5}{22}$
11. $\frac{17}{66}$
12. $\frac{2}{3}$
13. $\frac{39}{40}$
14. $1\frac{1}{6}$

Let me know if you’d like a printable version or visual steps for any problem!