Reducing Fractions to Lowest Terms (A) - Free Printable

To solve the problem of reducing each fraction to its lowest terms, we need to simplify each fraction by dividing both the numerator and the denominator by their greatest common divisor (GCD). Let's go through each fraction step by step.

Step-by-Step Solution:

#### First Row:
1. $\frac{2}{4}$
- GCD of 2 and 4 is 2.
- Simplify: $\frac{2 \div 2}{4 \div 2} = \frac{1}{2}$

2. $\frac{35}{40}$
- GCD of 35 and 40 is 5.
- Simplify: $\frac{35 \div 5}{40 \div 5} = \frac{7}{8}$

3. $\frac{10}{16}$
- GCD of 10 and 16 is 2.
- Simplify: $\frac{10 \div 2}{16 \div 2} = \frac{5}{8}$

4. $\frac{8}{36}$
- GCD of 8 and 36 is 4.
- Simplify: $\frac{8 \div 4}{36 \div 4} = \frac{2}{9}$

#### Second Row:
5. $\frac{18}{20}$
- GCD of 18 and 20 is 2.
- Simplify: $\frac{18 \div 2}{20 \div 2} = \frac{9}{10}$

6. $\frac{4}{36}$
- GCD of 4 and 36 is 4.
- Simplify: $\frac{4 \div 4}{36 \div 4} = \frac{1}{9}$

7. $\frac{6}{9}$
- GCD of 6 and 9 is 3.
- Simplify: $\frac{6 \div 3}{9 \div 3} = \frac{2}{3}$

8. $\frac{2}{10}$
- GCD of 2 and 10 is 2.
- Simplify: $\frac{2 \div 2}{10 \div 2} = \frac{1}{5}$

#### Third Row:
9. $\frac{3}{30}$
- GCD of 3 and 30 is 3.
- Simplify: $\frac{3 \div 3}{30 \div 3} = \frac{1}{10}$

10. $\frac{44}{48}$
- GCD of 44 and 48 is 4.
- Simplify: $\frac{44 \div 4}{48 \div 4} = \frac{11}{12}$

11. $\frac{5}{15}$
- GCD of 5 and 15 is 5.
- Simplify: $\frac{5 \div 5}{15 \div 5} = \frac{1}{3}$

12. $\frac{10}{35}$
- GCD of 10 and 35 is 5.
- Simplify: $\frac{10 \div 5}{35 \div 5} = \frac{2}{7}$

#### Fourth Row:
13. $\frac{10}{45}$
- GCD of 10 and 45 is 5.
- Simplify: $\frac{10 \div 5}{45 \div 5} = \frac{2}{9}$

14. $\frac{6}{14}$
- GCD of 6 and 14 is 2.
- Simplify: $\frac{6 \div 2}{14 \div 2} = \frac{3}{7}$

15. $\frac{28}{32}$
- GCD of 28 and 32 is 4.
- Simplify: $\frac{28 \div 4}{32 \div 4} = \frac{7}{8}$

16. $\frac{20}{24}$
- GCD of 20 and 24 is 4.
- Simplify: $\frac{20 \div 4}{24 \div 4} = \frac{5}{6}$

#### Fifth Row:
17. $\frac{5}{15}$
- GCD of 5 and 15 is 5.
- Simplify: $\frac{5 \div 5}{15 \div 5} = \frac{1}{3}$

18. $\frac{4}{32}$
- GCD of 4 and 32 is 4.
- Simplify: $\frac{4 \div 4}{32 \div 4} = \frac{1}{8}$

19. $\frac{30}{35}$
- GCD of 30 and 35 is 5.
- Simplify: $\frac{30 \div 5}{35 \div 5} = \frac{6}{7}$

20. $\frac{3}{6}$
- GCD of 3 and 6 is 3.
- Simplify: $\frac{3 \div 3}{6 \div 3} = \frac{1}{2}$

#### Sixth Row:
21. $\frac{14}{24}$
- GCD of 14 and 24 is 2.
- Simplify: $\frac{14 \div 2}{24 \div 2} = \frac{7}{12}$

22. $\frac{18}{20}$
- GCD of 18 and 20 is 2.
- Simplify: $\frac{18 \div 2}{20 \div 2} = \frac{9}{10}$

23. $\frac{14}{18}$
- GCD of 14 and 18 is 2.
- Simplify: $\frac{14 \div 2}{18 \div 2} = \frac{7}{9}$

24. $\frac{5}{35}$
- GCD of 5 and 35 is 5.
- Simplify: $\frac{5 \div 5}{35 \div 5} = \frac{1}{7}$

#### Seventh Row:
25. $\frac{4}{40}$
- GCD of 4 and 40 is 4.
- Simplify: $\frac{4 \div 4}{40 \div 4} = \frac{1}{10}$

26. $\frac{35}{50}$
- GCD of 35 and 50 is 5.
- Simplify: $\frac{35 \div 5}{50 \div 5} = \frac{7}{10}$

27. $\frac{2}{18}$
- GCD of 2 and 18 is 2.
- Simplify: $\frac{2 \div 2}{18 \div 2} = \frac{1}{9}$

28. $\frac{2}{4}$
- GCD of 2 and 4 is 2.
- Simplify: $\frac{2 \div 2}{4 \div 2} = \frac{1}{2}$

#### Eighth Row:
29. $\frac{2}{6}$
- GCD of 2 and 6 is 2.
- Simplify: $\frac{2 \div 2}{6 \div 2} = \frac{1}{3}$

30. $\frac{2}{14}$
- GCD of 2 and 14 is 2.
- Simplify: $\frac{2 \div 2}{14 \div 2} = \frac{1}{7}$

31. $\frac{28}{40}$
- GCD of 28 and 40 is 4.
- Simplify: $\frac{28 \div 4}{40 \div 4} = \frac{7}{10}$

32. $\frac{4}{28}$
- GCD of 4 and 28 is 4.
- Simplify: $\frac{4 \div 4}{28 \div 4} = \frac{1}{7}$

#### Ninth Row:
33. $\frac{45}{50}$
- GCD of 45 and 50 is 5.
- Simplify: $\frac{45 \div 5}{50 \div 5} = \frac{9}{10}$

34. $\frac{12}{28}$
- GCD of 12 and 28 is 4.
- Simplify: $\frac{12 \div 4}{28 \div 4} = \frac{3}{7}$

35. $\frac{12}{40}$
- GCD of 12 and 40 is 4.
- Simplify: $\frac{12 \div 4}{40 \div 4} = \frac{3}{10}$

36. $\frac{25}{60}$
- GCD of 25 and 60 is 5.
- Simplify: $\frac{25 \div 5}{60 \div 5} = \frac{5}{12}$

Final Answer:

\[
\boxed{
\begin{array}{cccc}
\frac{1}{2} & \frac{7}{8} & \frac{5}{8} & \frac{2}{9} \\
\frac{9}{10} & \frac{1}{9} & \frac{2}{3} & \frac{1}{5} \\
\frac{1}{10} & \frac{11}{12} & \frac{1}{3} & \frac{2}{7} \\
\frac{2}{9} & \frac{3}{7} & \frac{7}{8} & \frac{5}{6} \\
\frac{1}{3} & \frac{1}{8} & \frac{6}{7} & \frac{1}{2} \\
\frac{7}{12} & \frac{9}{10} & \frac{7}{9} & \frac{1}{7} \\
\frac{1}{10} & \frac{7}{10} & \frac{1}{9} & \frac{1}{2} \\
\frac{1}{3} & \frac{1}{7} & \frac{7}{10} & \frac{1}{7} \\
\frac{9}{10} & \frac{3}{7} & \frac{3}{10} & \frac{5}{12} \\
\end{array}
}
\]