9 Worksheets on Simplifying Fractions for 6th Graders - Free Printable

To simplify these fractions, we need to find the largest number that divides evenly into both the top number (numerator) and the bottom number (denominator). This is called the "common factor." Once we find it, we divide both numbers by it to get the simplest form.

Here is the step-by-step solution for each problem:

1. $\frac{4}{8}$
* Both 4 and 8 can be divided by 4.
* $4 \div 4 = 1$
* $8 \div 4 = 2$
* Answer: $\frac{1}{2}$

2. $\frac{3}{15}$
* Both 3 and 15 can be divided by 3.
* $3 \div 3 = 1$
* $15 \div 3 = 5$
* Answer: $\frac{1}{5}$

3. $\frac{9}{15}$
* Both 9 and 15 can be divided by 3.
* $9 \div 3 = 3$
* $15 \div 3 = 5$
* Answer: $\frac{3}{5}$

4. $\frac{24}{30}$
* Both numbers are even, so they can be divided by 2, but they can also both be divided by 6. Let's use 6.
* $24 \div 6 = 4$
* $30 \div 6 = 5$
* Answer: $\frac{4}{5}$

5. $\frac{18}{30}$
* Both 18 and 30 can be divided by 6.
* $18 \div 6 = 3$
* $30 \div 6 = 5$
* Answer: $\frac{3}{5}$

6. $\frac{4}{12}$
* Both 4 and 12 can be divided by 4.
* $4 \div 4 = 1$
* $12 \div 4 = 3$
* Answer: $\frac{1}{3}$

7. $\frac{15}{20}$
* Both 15 and 20 end in 5 or 0, so they can be divided by 5.
* $15 \div 5 = 3$
* $20 \div 5 = 4$
* Answer: $\frac{3}{4}$

8. $\frac{6}{18}$
* Both 6 and 18 can be divided by 6.
* $6 \div 6 = 1$
* $18 \div 6 = 3$
* Answer: $\frac{1}{3}$

9. $\frac{5}{20}$
* Both 5 and 20 can be divided by 5.
* $5 \div 5 = 1$
* $20 \div 5 = 4$
* Answer: $\frac{1}{4}$

10. $\frac{4}{24}$
* Both 4 and 24 can be divided by 4.
* $4 \div 4 = 1$
* $24 \div 4 = 6$
* Answer: $\frac{1}{6}$

11. $\frac{6}{12}$
* Both 6 and 12 can be divided by 6.
* $6 \div 6 = 1$
* $12 \div 6 = 2$
* Answer: $\frac{1}{2}$

12. $\frac{3}{9}$
* Both 3 and 9 can be divided by 3.
* $3 \div 3 = 1$
* $9 \div 3 = 3$
* Answer: $\frac{1}{3}$

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