Adding, Subtracting, Multiplying And Dividing Fractions Worksheets - Free Printable

Problem Description:

The worksheet provided is about adding fractions with like denominators. The task involves finding the sum of pairs of fractions where the denominators are the same. This is a fundamental concept in arithmetic, and the solution involves adding the numerators while keeping the denominator unchanged.

Solution Approach:

1. Identify the fractions: Each problem consists of two fractions with the same denominator.
2. Add the numerators: Since the denominators are the same, simply add the numerators together.
3. Keep the denominator: The denominator remains unchanged.
4. Simplify if possible: After adding, check if the resulting fraction can be simplified by dividing both the numerator and the denominator by their greatest common divisor (GCD).

Step-by-Step Solutions:

#### Row 1:
1. \( \frac{1}{4} + \frac{2}{4} = \frac{1+2}{4} = \frac{3}{4} \)
2. \( \frac{2}{3} + \frac{1}{3} = \frac{2+1}{3} = \frac{3}{3} = 1 \)
3. \( \frac{1}{8} + \frac{4}{8} = \frac{1+4}{8} = \frac{5}{8} \)

#### Row 2:
4. \( \frac{3}{14} + \frac{1}{14} = \frac{3+1}{14} = \frac{4}{14} = \frac{2}{7} \) (simplified by dividing by 2)
5. \( \frac{13}{20} + \frac{13}{20} = \frac{13+13}{20} = \frac{26}{20} = \frac{13}{10} \) (simplified by dividing by 2)
6. \( \frac{3}{5} + \frac{4}{5} = \frac{3+4}{5} = \frac{7}{5} \)

#### Row 3:
7. \( \frac{68}{100} + \frac{24}{100} = \frac{68+24}{100} = \frac{92}{100} = \frac{23}{25} \) (simplified by dividing by 4)
8. \( \frac{4}{6} + \frac{5}{6} = \frac{4+5}{6} = \frac{9}{6} = \frac{3}{2} \) (simplified by dividing by 3)
9. \( \frac{2}{10} + \frac{2}{10} = \frac{2+2}{10} = \frac{4}{10} = \frac{2}{5} \) (simplified by dividing by 2)

#### Row 4:
10. \( \frac{9}{50} + \frac{24}{50} = \frac{9+24}{50} = \frac{33}{50} \)
11. \( \frac{4}{12} + \frac{6}{12} = \frac{4+6}{12} = \frac{10}{12} = \frac{5}{6} \) (simplified by dividing by 2)
12. \( \frac{2}{11} + \frac{1}{11} = \frac{2+1}{11} = \frac{3}{11} \)

#### Row 5:
13. \( \frac{1}{2} + \frac{1}{2} = \frac{1+1}{2} = \frac{2}{2} = 1 \)
14. \( \frac{4}{9} + \frac{5}{9} = \frac{4+5}{9} = \frac{9}{9} = 1 \)
15. \( \frac{10}{13} + \frac{9}{13} = \frac{10+9}{13} = \frac{19}{13} \)

#### Row 6:
16. \( \frac{4}{7} + \frac{6}{7} = \frac{4+6}{7} = \frac{10}{7} \)
17. \( \frac{2}{15} + \frac{11}{15} = \frac{2+11}{15} = \frac{13}{15} \)
18. \( \frac{2}{10} + \frac{1}{10} = \frac{2+1}{10} = \frac{3}{10} \)

#### Row 7:
19. \( \frac{14}{25} + \frac{2}{25} = \frac{14+2}{25} = \frac{16}{25} \)
20. \( \frac{5}{7} + \frac{4}{7} = \frac{5+4}{7} = \frac{9}{7} \)
21. \( \frac{2}{5} + \frac{2}{5} = \frac{2+2}{5} = \frac{4}{5} \)

Final Answer:

\[
\boxed{
\begin{array}{ccc}
1. & \frac{3}{4} & 2. & 1 & 3. & \frac{5}{8} \\
4. & \frac{2}{7} & 5. & \frac{13}{10} & 6. & \frac{7}{5} \\
7. & \frac{23}{25} & 8. & \frac{3}{2} & 9. & \frac{2}{5} \\
10. & \frac{33}{50} & 11. & \frac{5}{6} & 12. & \frac{3}{11} \\
13. & 1 & 14. & 1 & 15. & \frac{19}{13} \\
16. & \frac{10}{7} & 17. & \frac{13}{15} & 18. & \frac{3}{10} \\
19. & \frac{16}{25} & 20. & \frac{9}{7} & 21. & \frac{4}{5} \\
\end{array}
}
\]