Fractions Worksheets | Printable Fractions Worksheets for Teachers - Free Printable

Let's solve each of these fraction addition problems step by step. The key to adding fractions is finding a common denominator, converting each fraction to have that denominator, then adding the numerators.

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

- Find the least common denominator (LCD) of 4, 5, and 3:
$ \text{LCM}(4,5,3) = 60 $
- Convert:
- $\frac{3}{4} = \frac{3 \times 15}{4 \times 15} = \frac{45}{60}$
- $\frac{3}{5} = \frac{3 \times 12}{5 \times 12} = \frac{36}{60}$
- $\frac{1}{3} = \frac{1 \times 20}{3 \times 20} = \frac{20}{60}$
- Add: $\frac{45 + 36 + 20}{60} = \frac{101}{60}$
- Simplify: $ \frac{101}{60} = 1\frac{41}{60} $

✔ Answer: $1\frac{41}{60}$

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

- Simplify $\frac{2}{4} = \frac{1}{2}$
- Now: $\frac{2}{3} + \frac{4}{5} + \frac{1}{2}$
- LCD of 3, 5, 2 = 30
- Convert:
- $\frac{2}{3} = \frac{20}{30}$
- $\frac{4}{5} = \frac{24}{30}$
- $\frac{1}{2} = \frac{15}{30}$
- Add: $\frac{20 + 24 + 15}{30} = \frac{59}{30}$
- Simplify: $ \frac{59}{30} = 1\frac{29}{30} $

✔ Answer: $1\frac{29}{30}$

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3) $\frac{2}{4} + \frac{2}{5} + \frac{2}{10}$

- Simplify:
- $\frac{2}{4} = \frac{1}{2}$
- $\frac{2}{10} = \frac{1}{5}$
- So: $\frac{1}{2} + \frac{2}{5} + \frac{1}{5} = \frac{1}{2} + \frac{3}{5}$
- LCD of 2 and 5 = 10
- $\frac{1}{2} = \frac{5}{10}, \quad \frac{3}{5} = \frac{6}{10}$
- Add: $\frac{5 + 6}{10} = \frac{11}{10} = 1\frac{1}{10}$

✔ Answer: $1\frac{1}{10}$

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4) $\frac{7}{10} + \frac{2}{3} + \frac{1}{5}$

- LCD of 10, 3, 5 = 30
- Convert:
- $\frac{7}{10} = \frac{21}{30}$
- $\frac{2}{3} = \frac{20}{30}$
- $\frac{1}{5} = \frac{6}{30}$
- Add: $\frac{21 + 20 + 6}{30} = \frac{47}{30} = 1\frac{17}{30}$

✔ Answer: $1\frac{17}{30}$

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5) $\frac{3}{4} + \frac{1}{2} + \frac{1}{10}$

- LCD of 4, 2, 10 = 20
- Convert:
- $\frac{3}{4} = \frac{15}{20}$
- $\frac{1}{2} = \frac{10}{20}$
- $\frac{1}{10} = \frac{2}{20}$
- Add: $\frac{15 + 10 + 2}{20} = \frac{27}{20} = 1\frac{7}{20}$

✔ Answer: $1\frac{7}{20}$

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6) $\frac{8}{10} + \frac{1}{2} + \frac{2}{4}$

- Simplify:
- $\frac{8}{10} = \frac{4}{5}$
- $\frac{2}{4} = \frac{1}{2}$
- So: $\frac{4}{5} + \frac{1}{2} + \frac{1}{2} = \frac{4}{5} + 1$
- $\frac{4}{5} + 1 = 1\frac{4}{5}$

✔ Answer: $1\frac{4}{5}$

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7) $\frac{2}{5} + \frac{7}{10} + \frac{3}{4}$

- LCD of 5, 10, 4 = 20
- Convert:
- $\frac{2}{5} = \frac{8}{20}$
- $\frac{7}{10} = \frac{14}{20}$
- $\frac{3}{4} = \frac{15}{20}$
- Add: $\frac{8 + 14 + 15}{20} = \frac{37}{20} = 1\frac{17}{20}$

✔ Answer: $1\frac{17}{20}$

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8) $\frac{5}{10} + \frac{1}{4} + \frac{1}{5}$

- Simplify: $\frac{5}{10} = \frac{1}{2}$
- So: $\frac{1}{2} + \frac{1}{4} + \frac{1}{5}$
- LCD of 2, 4, 5 = 20
- Convert:
- $\frac{1}{2} = \frac{10}{20}$
- $\frac{1}{4} = \frac{5}{20}$
- $\frac{1}{5} = \frac{4}{20}$
- Add: $\frac{10 + 5 + 4}{20} = \frac{19}{20}$

✔ Answer: $\frac{19}{20}$

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9) $\frac{4}{5} + \frac{4}{10} + \frac{1}{2}$

- Simplify:
- $\frac{4}{10} = \frac{2}{5}$
- $\frac{1}{2} = \frac{1}{2}$
- So: $\frac{4}{5} + \frac{2}{5} + \frac{1}{2} = \frac{6}{5} + \frac{1}{2}$
- LCD of 5 and 2 = 10
- $\frac{6}{5} = \frac{12}{10}, \quad \frac{1}{2} = \frac{5}{10}$
- Add: $\frac{12 + 5}{10} = \frac{17}{10} = 1\frac{7}{10}$

✔ Answer: $1\frac{7}{10}$

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10) $\frac{3}{5} + \frac{3}{4} + \frac{6}{10}$

- Simplify: $\frac{6}{10} = \frac{3}{5}$
- So: $\frac{3}{5} + \frac{3}{4} + \frac{3}{5} = \frac{6}{5} + \frac{3}{4}$
- LCD of 5 and 4 = 20
- $\frac{6}{5} = \frac{24}{20}, \quad \frac{3}{4} = \frac{15}{20}$
- Add: $\frac{24 + 15}{20} = \frac{39}{20} = 1\frac{19}{20}$

✔ Answer: $1\frac{19}{20}$

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✔ Final Answers:

1) $1\frac{41}{60}$
2) $1\frac{29}{30}$
3) $1\frac{1}{10}$
4) $1\frac{17}{30}$
5) $1\frac{7}{20}$
6) $1\frac{4}{5}$
7) $1\frac{17}{20}$
8) $\frac{19}{20}$
9) $1\frac{7}{10}$
10) $1\frac{19}{20}$

Let me know if you'd like this in a printable format or need help with any specific step!