https://file.aiquickdraw.com/mathbot/file/1730200931357mvbxqb3a.jpg

Let's analyze the diagrams to determine what fraction of each cake is left.

### Diagram (a):
- The cake is divided into 12 equal slices.
- **4 slices** are shaded (eaten), and **8 slices** remain.
- The fraction of cake left is:  
  \[
  \frac{8}{12} = \frac{2}{3}
  \]

### Diagram (b):
- The cake is also divided into 12 equal slices.
- **2 slices** are shaded (eaten), and **10 slices** remain.
- The fraction of cake left is:  
  \[
  \frac{10}{12} = \frac{5}{6}
  \]

### Diagram (c):
- Similarly, the cake is divided into 12 equal slices.
- **7 slices** are shaded (eaten), and **5 slices** remain.
- The fraction of cake left is:  
  \[
  \frac{5}{12}
  \]

### Summary:
- Diagram (a): \( \frac{2}{3} \) of the cake is left.
- Diagram (b): \( \frac{5}{6} \) of the cake is left.
- Diagram (c): \( \frac{5}{12} \) of the cake is left.

Would you like more details or have any questions about these fractions?

Here are some related questions to explore:

1. What is the decimal equivalent of each fraction?
2. How would the fractions change if each cake had 16 slices instead of 12?
3. If one cake is shared equally among 4 people, how much would each person get in each case?
4. Can you express each fraction as a percentage?
5. How would you combine the fractions of cakes left to find the total fraction of cake left across all three?

**Tip:** Always simplify fractions to their lowest terms for clarity.

In each of the diagrams below, what fraction of each cake is left?

Learn how to find the fraction of each cake that is left by analyzing shaded portions in diagrams. This exercise involves counting slices, calculating fractions, and simplifying them to their lowest terms. Suitable for students in Grades 4-6.

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