Math worksheet for reducing fractions to their simplest form, featuring 15 problems and a cartoon pig.

To reduce a fraction to its simplest form, 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 Divisor (GCD). Once we find it, we divide both numbers by it.

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

1) $\frac{14}{22}$
* Both numbers are even, so they can be divided by 2.
* $14 \div 2 = 7$
* $22 \div 2 = 11$
* Result: $\frac{7}{11}$

2) $\frac{8}{18}$
* Both numbers are even, so divide by 2.
* $8 \div 2 = 4$
* $18 \div 2 = 9$
* Result: $\frac{4}{9}$

3) $\frac{14}{28}$
* 14 goes into 28 exactly two times ($14 \times 2 = 28$). So, divide both by 14.
* $14 \div 14 = 1$
* $28 \div 14 = 2$
* Result: $\frac{1}{2}$

4) $\frac{4}{56}$
* Both are divisible by 4.
* $4 \div 4 = 1$
* $56 \div 4 = 14$
* Result: $\frac{1}{14}$

5) $\frac{15}{27}$
* Both numbers are in the 3 times table ($3 \times 5 = 15$ and $3 \times 9 = 27$). Divide by 3.
* $15 \div 3 = 5$
* $27 \div 3 = 9$
* Result: $\frac{5}{9}$

6) $\frac{40}{16}$
* Both are divisible by 8.
* $40 \div 8 = 5$
* $16 \div 8 = 2$
* Result: $\frac{5}{2}$ (or $2 \frac{1}{2}$)

7) $\frac{22}{6}$
* Both are even, so divide by 2.
* $22 \div 2 = 11$
* $6 \div 2 = 3$
* Result: $\frac{11}{3}$ (or $3 \frac{2}{3}$)

8) $\frac{50}{6}$
* Both are even, so divide by 2.
* $50 \div 2 = 25$
* $6 \div 2 = 3$
* Result: $\frac{25}{3}$ (or $8 \frac{1}{3}$)

9) $\frac{88}{18}$
* Both are even, so divide by 2.
* $88 \div 2 = 44$
* $18 \div 2 = 9$
* Result: $\frac{44}{9}$ (or $4 \frac{8}{9}$)

10) $\frac{56}{8}$
* 8 goes into 56 exactly 7 times ($8 \times 7 = 56$).
* $56 \div 8 = 7$
* $8 \div 8 = 1$
* Result: $7$ (or $\frac{7}{1}$)

11) $\frac{25}{60}$
* Both numbers end in 5 or 0, so they are divisible by 5.
* $25 \div 5 = 5$
* $60 \div 5 = 12$
* Result: $\frac{5}{12}$

12) $\frac{16}{26}$
* Both are even, so divide by 2.
* $16 \div 2 = 8$
* $26 \div 2 = 13$
* Result: $\frac{8}{13}$

13) $\frac{21}{30}$
* Both are divisible by 3.
* $21 \div 3 = 7$
* $30 \div 3 = 10$
* Result: $\frac{7}{10}$

14) $\frac{418}{80}$
* Both are even, so start by dividing by 2.
* $418 \div 2 = 209$
* $80 \div 2 = 40$
* Check if 209 and 40 share any other factors. 40 is made of 2s and 5s. 209 does not end in an even number or 0/5, so it isn't divisible by 2 or 5.
* Result: $\frac{209}{40}$ (or $5 \frac{9}{40}$)

15) $\frac{230}{180}$
* First, cancel out the zeros at the end (divide by 10).
* $\frac{23}{18}$
* 23 is a prime number and does not go into 18 evenly.
* Result: $\frac{23}{18}$ (or $1 \frac{5}{18}$)

Final Answer:
1) $\frac{7}{11}$
2) $\frac{4}{9}$
3) $\frac{1}{2}$
4) $\frac{1}{14}$
5) $\frac{5}{9}$
6) $\frac{5}{2}$
7) $\frac{11}{3}$
8) $\frac{25}{3}$
9) $\frac{44}{9}$
10) $7$
11) $\frac{5}{12}$
12) $\frac{8}{13}$
13) $\frac{7}{10}$
14) $\frac{209}{40}$
15) $\frac{23}{18}$