Fractions Worksheets | Printable Fractions Worksheets for Teachers - Free Printable

Here are the step-by-step solutions for each problem. To add mixed numbers (a whole number and a fraction), we usually follow these steps:
1. Find a common denominator for the fractions so they have the same bottom number.
2. Add the fractions together. If the result is an improper fraction (top number bigger than bottom), turn it into a mixed number.
3. Add the whole numbers together.
4. Combine the new whole number sum with the fraction sum.

1) $5 \frac{1}{8} + 10 \frac{1}{16}$
* The denominators are 8 and 16. The common denominator is 16.
* Convert $\frac{1}{8}$ to sixteenths: $\frac{1 \times 2}{8 \times 2} = \frac{2}{16}$.
* Add fractions: $\frac{2}{16} + \frac{1}{16} = \frac{3}{16}$.
* Add whole numbers: $5 + 10 = 15$.
* Combine: $15 \frac{3}{16}$.

2) $6 \frac{5}{8} + 7 \frac{1}{8}$
* The denominators are already the same (8).
* Add fractions: $\frac{5}{8} + \frac{1}{8} = \frac{6}{8}$.
* Simplify the fraction: $\frac{6}{8}$ divides by 2 on top and bottom to become $\frac{3}{4}$.
* Add whole numbers: $6 + 7 = 13$.
* Combine: $13 \frac{3}{4}$.

3) $2 \frac{1}{2} + 3 \frac{3}{8}$
* Denominators are 2 and 8. Common denominator is 8.
* Convert $\frac{1}{2}$ to eighths: $\frac{1 \times 4}{2 \times 4} = \frac{4}{8}$.
* Add fractions: $\frac{4}{8} + \frac{3}{8} = \frac{7}{8}$.
* Add whole numbers: $2 + 3 = 5$.
* Combine: $5 \frac{7}{8}$.

4) $6 \frac{3}{4} + 9 \frac{1}{2}$
* Denominators are 4 and 2. Common denominator is 4.
* Convert $\frac{1}{2}$ to fourths: $\frac{1 \times 2}{2 \times 2} = \frac{2}{4}$.
* Add fractions: $\frac{3}{4} + \frac{2}{4} = \frac{5}{4}$.
* Since $\frac{5}{4}$ is improper, convert it: $\frac{5}{4} = 1 \frac{1}{4}$.
* Add whole numbers: $6 + 9 = 15$.
* Add the extra 1 from the fraction: $15 + 1 = 16$.
* Final answer: $16 \frac{1}{4}$.

5) $1 \frac{3}{4} + 10 \frac{9}{16}$
* Denominators are 4 and 16. Common denominator is 16.
* Convert $\frac{3}{4}$ to sixteenths: $\frac{3 \times 4}{4 \times 4} = \frac{12}{16}$.
* Add fractions: $\frac{12}{16} + \frac{9}{16} = \frac{21}{16}$.
* Convert improper fraction: $\frac{21}{16} = 1 \frac{5}{16}$.
* Add whole numbers: $1 + 10 = 11$.
* Add the extra 1: $11 + 1 = 12$.
* Final answer: $12 \frac{5}{16}$.

6) $8 \frac{1}{2} + 6 \frac{3}{4}$
* Denominators are 2 and 4. Common denominator is 4.
* Convert $\frac{1}{2}$ to fourths: $\frac{1 \times 2}{2 \times 2} = \frac{2}{4}$.
* Add fractions: $\frac{2}{4} + \frac{3}{4} = \frac{5}{4}$.
* Convert improper fraction: $\frac{5}{4} = 1 \frac{1}{4}$.
* Add whole numbers: $8 + 6 = 14$.
* Add the extra 1: $14 + 1 = 15$.
* Final answer: $15 \frac{1}{4}$.

7) $7 \frac{1}{8} + 10 \frac{3}{4}$
* Denominators are 8 and 4. Common denominator is 8.
* Convert $\frac{3}{4}$ to eighths: $\frac{3 \times 2}{4 \times 2} = \frac{6}{8}$.
* Add fractions: $\frac{1}{8} + \frac{6}{8} = \frac{7}{8}$.
* Add whole numbers: $7 + 10 = 17$.
* Combine: $17 \frac{7}{8}$.

8) $8 \frac{1}{2} + 11 \frac{1}{8}$
* Denominators are 2 and 8. Common denominator is 8.
* Convert $\frac{1}{2}$ to eighths: $\frac{1 \times 4}{2 \times 4} = \frac{4}{8}$.
* Add fractions: $\frac{4}{8} + \frac{1}{8} = \frac{5}{8}$.
* Add whole numbers: $8 + 11 = 19$.
* Combine: $19 \frac{5}{8}$.

9) $11 \frac{11}{16} + 10 \frac{1}{2}$
* Denominators are 16 and 2. Common denominator is 16.
* Convert $\frac{1}{2}$ to sixteenths: $\frac{1 \times 8}{2 \times 8} = \frac{8}{16}$.
* Add fractions: $\frac{11}{16} + \frac{8}{16} = \frac{19}{16}$.
* Convert improper fraction: $\frac{19}{16} = 1 \frac{3}{16}$.
* Add whole numbers: $11 + 10 = 21$.
* Add the extra 1: $21 + 1 = 22$.
* Final answer: $22 \frac{3}{16}$.

10) $1 \frac{1}{4} + 10 \frac{5}{8}$
* Denominators are 4 and 8. Common denominator is 8.
* Convert $\frac{1}{4}$ to eighths: $\frac{1 \times 2}{4 \times 2} = \frac{2}{8}$.
* Add fractions: $\frac{2}{8} + \frac{5}{8} = \frac{7}{8}$.
* Add whole numbers: $1 + 10 = 11$.
* Combine: $11 \frac{7}{8}$.

Final Answer:
1) $15 \frac{3}{16}$
2) $13 \frac{3}{4}$
3) $5 \frac{7}{8}$
4) $16 \frac{1}{4}$
5) $12 \frac{5}{16}$
6) $15 \frac{1}{4}$
7) $17 \frac{7}{8}$
8) $19 \frac{5}{8}$
9) $22 \frac{3}{16}$
10) $11 \frac{7}{8}$