Fractions Worksheets | Printable Fractions Worksheets for Teachers - Free Printable

Explanation:
We are adding mixed numbers. A mixed number has a whole number part and a fraction part, like $4\frac{1}{2}$. To add them:

1. Add the whole numbers together.
2. Add the fractions together.
3. If the fraction sum is an improper fraction (numerator ≥ denominator), convert it to a mixed number and add the whole part to the total whole number.

Let’s solve each problem step by step.

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1) $4\frac{1}{2} + 6\frac{1}{5}$
Whole numbers: $4 + 6 = 10$
Fractions: $\frac{1}{2} + \frac{1}{5} = \frac{5}{10} + \frac{2}{10} = \frac{7}{10}$
Answer: $10\frac{7}{10}$

2) $2\frac{5}{10} + 5\frac{3}{5}$
First simplify: $\frac{5}{10} = \frac{1}{2}$, and $\frac{3}{5}$ stays.
Whole numbers: $2 + 5 = 7$
Fractions: $\frac{1}{2} + \frac{3}{5} = \frac{5}{10} + \frac{6}{10} = \frac{11}{10} = 1\frac{1}{10}$
Add the extra 1 to whole part: $7 + 1 = 8$, so answer: $8\frac{1}{10}$

3) $3\frac{4}{5} + 8\frac{1}{3}$
Whole numbers: $3 + 8 = 11$
Fractions: $\frac{4}{5} + \frac{1}{3} = \frac{12}{15} + \frac{5}{15} = \frac{17}{15} = 1\frac{2}{15}$
Add 1 to whole: $11 + 1 = 12$, so answer: $12\frac{2}{15}$

4) $2\frac{4}{5} + 8\frac{3}{4}$
Whole: $2 + 8 = 10$
Fractions: $\frac{4}{5} + \frac{3}{4} = \frac{16}{20} + \frac{15}{20} = \frac{31}{20} = 1\frac{11}{20}$
Add 1 → $10 + 1 = 11$, answer: $11\frac{11}{20}$

5) $3\frac{2}{3} + 5\frac{1}{4}$
Whole: $3 + 5 = 8$
Fractions: $\frac{2}{3} + \frac{1}{4} = \frac{8}{12} + \frac{3}{12} = \frac{11}{12}$
No carry-over. Answer: $8\frac{11}{12}$

6) $6\frac{4}{10} + 5\frac{3}{4}$
Simplify $\frac{4}{10} = \frac{2}{5}$
Whole: $6 + 5 = 11$
Fractions: $\frac{2}{5} + \frac{3}{4} = \frac{8}{20} + \frac{15}{20} = \frac{23}{20} = 1\frac{3}{20}$
Add 1 → $11 + 1 = 12$, answer: $12\frac{3}{20}$

7) $2\frac{1}{4} + 7\frac{2}{10}$
Simplify $\frac{2}{10} = \frac{1}{5}$
Whole: $2 + 7 = 9$
Fractions: $\frac{1}{4} + \frac{1}{5} = \frac{5}{20} + \frac{4}{20} = \frac{9}{20}$
Answer: $9\frac{9}{20}$

8) $6\frac{1}{2} + 4\frac{4}{5}$
Whole: $6 + 4 = 10$
Fractions: $\frac{1}{2} + \frac{4}{5} = \frac{5}{10} + \frac{8}{10} = \frac{13}{10} = 1\frac{3}{10}$
Add 1 → $10 + 1 = 11$, answer: $11\frac{3}{10}$

9) $2\frac{1}{2} + 9\frac{6}{10}$
Simplify $\frac{6}{10} = \frac{3}{5}$
Whole: $2 + 9 = 11$
Fractions: $\frac{1}{2} + \frac{3}{5} = \frac{5}{10} + \frac{6}{10} = \frac{11}{10} = 1\frac{1}{10}$
Add 1 → $11 + 1 = 12$, answer: $12\frac{1}{10}$

10) $5\frac{5}{10} + 8\frac{1}{2}$
Simplify $\frac{5}{10} = \frac{1}{2}$, so we have $5\frac{1}{2} + 8\frac{1}{2}$
Whole: $5 + 8 = 13$
Fractions: $\frac{1}{2} + \frac{1}{2} = 1$
Add 1 → $13 + 1 = 14$, answer: $14$

Now double-check all answers for errors:

1) $10\frac{7}{10}$ ✔
2) $8\frac{1}{10}$ ✔
3) $12\frac{2}{15}$ ✔
4) $11\frac{11}{20}$ ✔
5) $8\frac{11}{12}$ ✔
6) $12\frac{3}{20}$ ✔
7) $9\frac{9}{20}$ ✔
8) $11\frac{3}{10}$ ✔
9) $12\frac{1}{10}$ ✔
10) $14$ ✔

All correct.

Final Answer:
1) $10\frac{7}{10}$
2) $8\frac{1}{10}$
3) $12\frac{2}{15}$
4) $11\frac{11}{20}$
5) $8\frac{11}{12}$
6) $12\frac{3}{20}$
7) $9\frac{9}{20}$
8) $11\frac{3}{10}$
9) $12\frac{1}{10}$
10) $14$