Grade 6 Fraction Worksheets | Free Printables | Math Worksheets - Free Printable

Sure! Let’s solve each of these fraction addition problems step by step. The key is to find a common denominator, convert the fractions, add the numerators, and then simplify if possible.

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

- LCD of 2 and 3 is 6
- Convert: $\frac{1}{2} = \frac{3}{6}, \quad \frac{1}{3} = \frac{2}{6}$
- Add: $\frac{3}{6} + \frac{2}{6} = \frac{5}{6}$

✔ Answer: $\frac{5}{6}$

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2. $\frac{4}{5} + \frac{1}{6}$

- LCD of 5 and 6 is 30
- Convert: $\frac{4}{5} = \frac{24}{30}, \quad \frac{1}{6} = \frac{5}{30}$
- Add: $\frac{24}{30} + \frac{5}{30} = \frac{29}{30}$

✔ Answer: $\frac{29}{30}$

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3. $\frac{3}{5} + \frac{2}{7}$

- LCD of 5 and 7 is 35
- Convert: $\frac{3}{5} = \frac{21}{35}, \quad \frac{2}{7} = \frac{10}{35}$
- Add: $\frac{21}{35} + \frac{10}{35} = \frac{31}{35}$

✔ Answer: $\frac{31}{35}$

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4. $\frac{4}{5} + \frac{1}{8}$

- LCD of 5 and 8 is 40
- Convert: $\frac{4}{5} = \frac{32}{40}, \quad \frac{1}{8} = \frac{5}{40}$
- Add: $\frac{32}{40} + \frac{5}{40} = \frac{37}{40}$

✔ Answer: $\frac{37}{40}$

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5. $\frac{5}{8} + \frac{2}{11}$

- LCD of 8 and 11 is 88
- Convert: $\frac{5}{8} = \frac{55}{88}, \quad \frac{2}{11} = \frac{16}{88}$
- Add: $\frac{55}{88} + \frac{16}{88} = \frac{71}{88}$

✔ Answer: $\frac{71}{88}$

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6. $\frac{5}{8} + \frac{2}{9}$

- LCD of 8 and 9 is 72
- Convert: $\frac{5}{8} = \frac{45}{72}, \quad \frac{2}{9} = \frac{16}{72}$
- Add: $\frac{45}{72} + \frac{16}{72} = \frac{61}{72}$

✔ Answer: $\frac{61}{72}$

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7. $\frac{4}{7} + \frac{5}{14}$

- LCD of 7 and 14 is 14
- Convert: $\frac{4}{7} = \frac{8}{14}, \quad \frac{5}{14} = \frac{5}{14}$
- Add: $\frac{8}{14} + \frac{5}{14} = \frac{13}{14}$

✔ Answer: $\frac{13}{14}$

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8. $\frac{3}{5} + \frac{4}{12}$

- First, simplify $\frac{4}{12} = \frac{1}{3}$
- Now: $\frac{3}{5} + \frac{1}{3}$
- LCD of 5 and 3 is 15
- Convert: $\frac{3}{5} = \frac{9}{15}, \quad \frac{1}{3} = \frac{5}{15}$
- Add: $\frac{9}{15} + \frac{5}{15} = \frac{14}{15}$

✔ Answer: $\frac{14}{15}$

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9. $\frac{7}{9} + \frac{1}{18}$

- LCD of 9 and 18 is 18
- Convert: $\frac{7}{9} = \frac{14}{18}, \quad \frac{1}{18} = \frac{1}{18}$
- Add: $\frac{14}{18} + \frac{1}{18} = \frac{15}{18}$
- Simplify: $\frac{15}{18} = \frac{5}{6}$ (divide numerator and denominator by 3)

✔ Answer: $\frac{5}{6}$

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10. $\frac{2}{10} + \frac{8}{30}$

- First, simplify both:
- $\frac{2}{10} = \frac{1}{5}$
- $\frac{8}{30} = \frac{4}{15}$
- Now: $\frac{1}{5} + \frac{4}{15}$
- LCD of 5 and 15 is 15
- Convert: $\frac{1}{5} = \frac{3}{15}, \quad \frac{4}{15} = \frac{4}{15}$
- Add: $\frac{3}{15} + \frac{4}{15} = \frac{7}{15}$

✔ Answer: $\frac{7}{15}$

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## ✔ Final Answers:

1. $\frac{5}{6}$
2. $\frac{29}{30}$
3. $\frac{31}{35}$
4. $\frac{37}{40}$
5. $\frac{71}{88}$
6. $\frac{61}{72}$
7. $\frac{13}{14}$
8. $\frac{14}{15}$
9. $\frac{5}{6}$
10. $\frac{7}{15}$

Let me know if you’d like to see visual models or step-by-step work for any problem!