Printable addition worksheet for elementary students.

Problem Description:

The image shows a series of addition problems involving fractions. Each problem requires adding two fractions and simplifying the result if possible. The task is to solve each problem step by step.

Solution:

We will solve each addition problem systematically, ensuring that we follow the correct steps for adding fractions:
1. Find a common denominator if the denominators are different.
2. Adjust the numerators accordingly.
3. Add the numerators while keeping the denominator the same.
4. Simplify the result if possible.

Let's go through each problem one by one.

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#### Row 1:
1. $\frac{3}{8} + \frac{4}{8}$
- Denominators are the same.
- Add the numerators: $3 + 4 = 7$.
- Result: $\frac{7}{8}$.

2. $\frac{3}{6} + \frac{6}{6}$
- Denominators are the same.
- Add the numerators: $3 + 6 = 9$.
- Simplify: $\frac{9}{6} = \frac{3}{2}$ (divide numerator and denominator by 3).
- Result: $\frac{3}{2}$.

3. $\frac{7}{2} + \frac{4}{7}$
- Find a common denominator: $2 \times 7 = 14$.
- Adjust the fractions:
- $\frac{7}{2} = \frac{7 \times 7}{2 \times 7} = \frac{49}{14}$,
- $\frac{4}{7} = \frac{4 \times 2}{7 \times 2} = \frac{8}{14}$.
- Add the numerators: $49 + 8 = 57$.
- Result: $\frac{57}{14}$.

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#### Row 2:
4. $\frac{2}{3} + \frac{6}{3}$
- Denominators are the same.
- Add the numerators: $2 + 6 = 8$.
- Simplify: $\frac{8}{3}$ (already in simplest form).
- Result: $\frac{8}{3}$.

5. $\frac{1}{7} + \frac{8}{9}$
- Find a common denominator: $7 \times 9 = 63$.
- Adjust the fractions:
- $\frac{1}{7} = \frac{1 \times 9}{7 \times 9} = \frac{9}{63}$,
- $\frac{8}{9} = \frac{8 \times 7}{9 \times 7} = \frac{56}{63}$.
- Add the numerators: $9 + 56 = 65$.
- Result: $\frac{65}{63}$.

6. $\frac{9}{8} + \frac{8}{6}$
- Simplify $\frac{8}{6}$ to $\frac{4}{3}$ (divide numerator and denominator by 2).
- Find a common denominator: $8 \times 3 = 24$.
- Adjust the fractions:
- $\frac{9}{8} = \frac{9 \times 3}{8 \times 3} = \frac{27}{24}$,
- $\frac{4}{3} = \frac{4 \times 8}{3 \times 8} = \frac{32}{24}$.
- Add the numerators: $27 + 32 = 59$.
- Result: $\frac{59}{24}$.

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#### Row 3:
7. $\frac{8}{1} + \frac{1}{3}$
- Simplify $\frac{8}{1}$ to $8$.
- Find a common denominator: $1 \times 3 = 3$.
- Adjust the fractions:
- $8 = \frac{8 \times 3}{1 \times 3} = \frac{24}{3}$,
- $\frac{1}{3} = \frac{1}{3}$.
- Add the numerators: $24 + 1 = 25$.
- Result: $\frac{25}{3}$.

8. $\frac{7}{9} + \frac{9}{8}$
- Find a common denominator: $9 \times 8 = 72$.
- Adjust the fractions:
- $\frac{7}{9} = \frac{7 \times 8}{9 \times 8} = \frac{56}{72}$,
- $\frac{9}{8} = \frac{9 \times 9}{8 \times 9} = \frac{81}{72}$.
- Add the numerators: $56 + 81 = 137$.
- Result: $\frac{137}{72}$.

9. $\frac{8}{4} + \frac{4}{6}$
- Simplify $\frac{8}{4}$ to $2$ and $\frac{4}{6}$ to $\frac{2}{3}$.
- Find a common denominator: $1 \times 3 = 3$.
- Adjust the fractions:
- $2 = \frac{2 \times 3}{1 \times 3} = \frac{6}{3}$,
- $\frac{2}{3} = \frac{2}{3}$.
- Add the numerators: $6 + 2 = 8$.
- Result: $\frac{8}{3}$.

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#### Row 4:
10. $\frac{7}{1} + \frac{1}{4}$
- Simplify $\frac{7}{1}$ to $7$.
- Find a common denominator: $1 \times 4 = 4$.
- Adjust the fractions:
- $7 = \frac{7 \times 4}{1 \times 4} = \frac{28}{4}$,
- $\frac{1}{4} = \frac{1}{4}$.
- Add the numerators: $28 + 1 = 29$.
- Result: $\frac{29}{4}$.

11. $\frac{9}{5} + \frac{5}{2}$
- Find a common denominator: $5 \times 2 = 10$.
- Adjust the fractions:
- $\frac{9}{5} = \frac{9 \times 2}{5 \times 2} = \frac{18}{10}$,
- $\frac{5}{2} = \frac{5 \times 5}{2 \times 5} = \frac{25}{10}$.
- Add the numerators: $18 + 25 = 43$.
- Result: $\frac{43}{10}$.

12. $\frac{3}{1} + \frac{1}{3}$
- Simplify $\frac{3}{1}$ to $3$.
- Find a common denominator: $1 \times 3 = 3$.
- Adjust the fractions:
- $3 = \frac{3 \times 3}{1 \times 3} = \frac{9}{3}$,
- $\frac{1}{3} = \frac{1}{3}$.
- Add the numerators: $9 + 1 = 10$.
- Result: $\frac{10}{3}$.

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#### Row 5:
13. $\frac{7}{6} + \frac{2}{9}$
- Find a common denominator: $6 \times 9 = 54$.
- Adjust the fractions:
- $\frac{7}{6} = \frac{7 \times 9}{6 \times 9} = \frac{63}{54}$,
- $\frac{2}{9} = \frac{2 \times 6}{9 \times 6} = \frac{12}{54}$.
- Add the numerators: $63 + 12 = 75$.
- Simplify: $\frac{75}{54} = \frac{25}{18}$ (divide numerator and denominator by 3).
- Result: $\frac{25}{18}$.

14. $\frac{4}{1} + \frac{1}{9}$
- Simplify $\frac{4}{1}$ to $4$.
- Find a common denominator: $1 \times 9 = 9$.
- Adjust the fractions:
- $4 = \frac{4 \times 9}{1 \times 9} = \frac{36}{9}$,
- $\frac{1}{9} = \frac{1}{9}$.
- Add the numerators: $36 + 1 = 37$.
- Result: $\frac{37}{9}$.

15. $\frac{9}{6} + \frac{6}{9}$
- Simplify $\frac{9}{6}$ to $\frac{3}{2}$ and $\frac{6}{9}$ to $\frac{2}{3}$.
- Find a common denominator: $2 \times 3 = 6$.
- Adjust the fractions:
- $\frac{3}{2} = \frac{3 \times 3}{2 \times 3} = \frac{9}{6}$,
- $\frac{2}{3} = \frac{2 \times 2}{3 \times 2} = \frac{4}{6}$.
- Add the numerators: $9 + 4 = 13$.
- Result: $\frac{13}{6}$.

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#### Row 6:
16. $\frac{3}{7} + \frac{5}{9}$
- Find a common denominator: $7 \times 9 = 63$.
- Adjust the fractions:
- $\frac{3}{7} = \frac{3 \times 9}{7 \times 9} = \frac{27}{63}$,
- $\frac{5}{9} = \frac{5 \times 7}{9 \times 7} = \frac{35}{63}$.
- Add the numerators: $27 + 35 = 62$.
- Result: $\frac{62}{63}$.

17. $\frac{7}{4} + \frac{4}{6}$
- Simplify $\frac{4}{6}$ to $\frac{2}{3}$.
- Find a common denominator: $4 \times 3 = 12$.
- Adjust the fractions:
- $\frac{7}{4} = \frac{7 \times 3}{4 \times 3} = \frac{21}{12}$,
- $\frac{2}{3} = \frac{2 \times 4}{3 \times 4} = \frac{8}{12}$.
- Add the numerators: $21 + 8 = 29$.
- Result: $\frac{29}{12}$.

18. $\frac{5}{6} + \frac{3}{2}$
- Find a common denominator: $6 \times 2 = 6$.
- Adjust the fractions:
- $\frac{5}{6} = \frac{5}{6}$,
- $\frac{3}{2} = \frac{3 \times 3}{2 \times 3} = \frac{9}{6}$.
- Add the numerators: $5 + 9 = 14$.
- Simplify: $\frac{14}{6} = \frac{7}{3}$ (divide numerator and denominator by 2).
- Result: $\frac{7}{3}$.

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#### Row 7:
19. $\frac{1}{5} + \frac{5}{3}$
- Find a common denominator: $5 \times 3 = 15$.
- Adjust the fractions:
- $\frac{1}{5} = \frac{1 \times 3}{5 \times 3} = \frac{3}{15}$,
- $\frac{5}{3} = \frac{5 \times 5}{3 \times 5} = \frac{25}{15}$.
- Add the numerators: $3 + 25 = 28$.
- Result: $\frac{28}{15}$.

20. $\frac{7}{3} + \frac{9}{1}$
- Simplify $\frac{9}{1}$ to $9$.
- Find a common denominator: $3 \times 1 = 3$.
- Adjust the fractions:
- $\frac{7}{3} = \frac{7}{3}$,
- $9 = \frac{9 \times 3}{1 \times 3} = \frac{27}{3}$.
- Add the numerators: $7 + 27 = 34$.
- Result: $\frac{34}{3}$.

21. $\frac{6}{7} + \frac{2}{2}$
- Simplify $\frac{2}{2}$ to $1$.
- Find a common denominator: $7 \times 1 = 7$.
- Adjust the fractions:
- $\frac{6}{7} = \frac{6}{7}$,
- $1 = \frac{1 \times 7}{1 \times 7} = \frac{7}{7}$.
- Add the numerators: $6 + 7 = 13$.
- Result: $\frac{13}{7}$.

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Final Answer:

$$
\boxed{
\begin{array}{ccc}
\frac{7}{8} & \frac{3}{2} & \frac{57}{14} \\
\frac{8}{3} & \frac{65}{63} & \frac{59}{24} \\
\frac{25}{3} & \frac{137}{72} & \frac{8}{3} \\
\frac{29}{4} & \frac{43}{10} & \frac{10}{3} \\
\frac{25}{18} & \frac{37}{9} & \frac{13}{6} \\
\frac{62}{63} & \frac{29}{12} & \frac{7}{3} \\
\frac{28}{15} & \frac{34}{3} & \frac{13}{7}
\end{array}
}
$$