Grade 5 Fraction Worksheets | Free Printables | Math Worksheets - Free Printable

To simplify a fraction, 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 Greatest Common Factor (GCF). 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. $\frac{6}{16}$
* Both 6 and 16 are even numbers, so they can be divided by 2.
* $6 \div 2 = 3$
* $16 \div 2 = 8$
* The fraction becomes $\frac{3}{8}$. Since 3 is a prime number and doesn't go into 8, this is the simplest form.

2. $\frac{8}{20}$
* Both numbers are divisible by 4.
* $8 \div 4 = 2$
* $20 \div 4 = 5$
* The fraction becomes $\frac{2}{5}$.

3. $\frac{10}{18}$
* Both numbers are even, so divide by 2.
* $10 \div 2 = 5$
* $18 \div 2 = 9$
* The fraction becomes $\frac{5}{9}$.

4. $\frac{14}{24}$
* Both numbers are even, so divide by 2.
* $14 \div 2 = 7$
* $24 \div 2 = 12$
* The fraction becomes $\frac{7}{12}$.

5. $\frac{7}{21}$
* 7 goes into 21 exactly 3 times ($7 \times 3 = 21$).
* $7 \div 7 = 1$
* $21 \div 7 = 3$
* The fraction becomes $\frac{1}{3}$.

6. $\frac{30}{55}$
* Both numbers end in 0 or 5, so they are divisible by 5.
* $30 \div 5 = 6$
* $55 \div 5 = 11$
* The fraction becomes $\frac{6}{11}$.

7. $\frac{11}{44}$
* 11 goes into 44 exactly 4 times ($11 \times 4 = 44$).
* $11 \div 11 = 1$
* $44 \div 11 = 4$
* The fraction becomes $\frac{1}{4}$.

8. $\frac{25}{35}$
* Both numbers end in 5, so divide by 5.
* $25 \div 5 = 5$
* $35 \div 5 = 7$
* The fraction becomes $\frac{5}{7}$.

9. $\frac{33}{36}$
* Both numbers are in the 3 times table ($3 \times 11 = 33$ and $3 \times 12 = 36$). Divide by 3.
* $33 \div 3 = 11$
* $36 \div 3 = 12$
* The fraction becomes $\frac{11}{12}$.

10. $\frac{80}{90}$
* Both numbers end in 0, so divide by 10.
* $80 \div 10 = 8$
* $90 \div 10 = 9$
* The fraction becomes $\frac{8}{9}$.

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