Coloring Fractions Worksheet: Reduce fractions and color the fish using the given code.

Problem Overview:

The task involves reducing fractions and coloring the corresponding sections of a fish image based on a provided color code. The color code is as follows:

- $\frac{1}{4} = \text{Orange}$
- $\frac{1}{3} = \text{Yellow}$
- $\frac{1}{5} = \text{Blue}$
- $\frac{1}{2} = \text{Purple}$

We need to simplify each fraction in the image and then use the color code to determine which color to apply to each section.

---

Step-by-Step Solution:

#### 1. Simplify Each Fraction:
We will simplify each fraction by dividing the numerator and denominator by their greatest common divisor (GCD).

---

##### Top Row:
1. $\frac{25}{75}$:
- GCD of 25 and 75 is 25.
- Simplified: $\frac{25 \div 25}{75 \div 25} = \frac{1}{3}$.
- Color: Yellow.

2. $\frac{18}{36}$:
- GCD of 18 and 36 is 18.
- Simplified: $\frac{18 \div 18}{36 \div 18} = \frac{1}{2}$.
- Color: Purple.

3. $\frac{6}{24}$:
- GCD of 6 and 24 is 6.
- Simplified: $\frac{6 \div 6}{24 \div 6} = \frac{1}{4}$.
- Color: Orange.

---

##### Second Row:
4. $\frac{8}{16}$:
- GCD of 8 and 16 is 8.
- Simplified: $\frac{8 \div 8}{16 \div 8} = \frac{1}{2}$.
- Color: Purple.

5. $\frac{8}{24}$:
- GCD of 8 and 24 is 8.
- Simplified: $\frac{8 \div 8}{24 \div 8} = \frac{1}{3}$.
- Color: Yellow.

6. $\frac{16}{32}$:
- GCD of 16 and 32 is 16.
- Simplified: $\frac{16 \div 16}{32 \div 16} = \frac{1}{2}$.
- Color: Purple.

7. $\frac{7}{35}$:
- GCD of 7 and 35 is 7.
- Simplified: $\frac{7 \div 7}{35 \div 7} = \frac{1}{5}$.
- Color: Blue.

---

##### Third Row:
8. $\frac{8}{40}$:
- GCD of 8 and 40 is 8.
- Simplified: $\frac{8 \div 8}{40 \div 8} = \frac{1}{5}$.
- Color: Blue.

9. $\frac{12}{36}$:
- GCD of 12 and 36 is 12.
- Simplified: $\frac{12 \div 12}{36 \div 12} = \frac{1}{3}$.
- Color: Yellow.

10. $\frac{6}{24}$:
- GCD of 6 and 24 is 6.
- Simplified: $\frac{6 \div 6}{24 \div 6} = \frac{1}{4}$.
- Color: Orange.

11. $\frac{12}{48}$:
- GCD of 12 and 48 is 12.
- Simplified: $\frac{12 \div 12}{48 \div 12} = \frac{1}{4}$.
- Color: Orange.

12. $\frac{9}{27}$:
- GCD of 9 and 27 is 9.
- Simplified: $\frac{9 \div 9}{27 \div 9} = \frac{1}{3}$.
- Color: Yellow.

13. $\frac{18}{54}$:
- GCD of 18 and 54 is 18.
- Simplified: $\frac{18 \div 18}{54 \div 18} = \frac{1}{3}$.
- Color: Yellow.

14. $\frac{15}{30}$:
- GCD of 15 and 30 is 15.
- Simplified: $\frac{15 \div 15}{30 \div 15} = \frac{1}{2}$.
- Color: Purple.

---

##### Fourth Row:
15. $\frac{4}{16}$:
- GCD of 4 and 16 is 4.
- Simplified: $\frac{4 \div 4}{16 \div 4} = \frac{1}{4}$.
- Color: Orange.

16. $\frac{15}{75}$:
- GCD of 15 and 75 is 15.
- Simplified: $\frac{15 \div 15}{75 \div 15} = \frac{1}{5}$.
- Color: Blue.

17. $\frac{4}{12}$:
- GCD of 4 and 12 is 4.
- Simplified: $\frac{4 \div 4}{12 \div 4} = \frac{1}{3}$.
- Color: Yellow.

18. $\frac{9}{45}$:
- GCD of 9 and 45 is 9.
- Simplified: $\frac{9 \div 9}{45 \div 9} = \frac{1}{5}$.
- Color: Blue.

19. $\frac{12}{24}$:
- GCD of 12 and 24 is 12.
- Simplified: $\frac{12 \div 12}{24 \div 12} = \frac{1}{2}$.
- Color: Purple.

20. $\frac{3}{15}$:
- GCD of 3 and 15 is 3.
- Simplified: $\frac{3 \div 3}{15 \div 3} = \frac{1}{5}$.
- Color: Blue.

---

##### Fifth Row:
21. $\frac{14}{28}$:
- GCD of 14 and 28 is 14.
- Simplified: $\frac{14 \div 14}{28 \div 14} = \frac{1}{2}$.
- Color: Purple.

22. $\frac{17}{34}$:
- GCD of 17 and 34 is 17.
- Simplified: $\frac{17 \div 17}{34 \div 17} = \frac{1}{2}$.
- Color: Purple.

23. $\frac{8}{40}$:
- GCD of 8 and 40 is 8.
- Simplified: $\frac{8 \div 8}{40 \div 8} = \frac{1}{5}$.
- Color: Blue.

---

Final Answer:

Based on the simplifications and the color code, the sections should be colored as follows:

- Orange: $\frac{1}{4}$ (Sections with fractions $\frac{25}{75}$, $\frac{6}{24}$, $\frac{8}{40}$, $\frac{12}{48}$, $\frac{4}{16}$, $\frac{15}{75}$).
- Yellow: $\frac{1}{3}$ (Sections with fractions $\frac{8}{16}$, $\frac{8}{24}$, $\frac{16}{32}$, $\frac{12}{36}$, $\frac{9}{27}$, $\frac{18}{54}$, $\frac{4}{12}$, $\frac{9}{45}$).
- Blue: $\frac{1}{5}$ (Sections with fractions $\frac{7}{35}$, $\frac{8}{40}$, $\frac{15}{30}$, $\frac{3}{15}$, $\frac{8}{40}$).
- Purple: $\frac{1}{2}$ (Sections with fractions $\frac{18}{36}$, $\frac{12}{24}$, $\frac{14}{28}$, $\frac{17}{34}$).

Thus, the final answer is:

\boxed{\text{See the detailed coloring instructions above.}}