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The worksheet presents several diagrams, and your task is to express each as an improper fraction and a mixed number. I'll guide you through solving them by identifying the number of shaded parts and the total parts in each diagram.

Let's go step by step:

1. **Diagram (a):**
   - Total sections: 12 (3 rows of 4).
   - Shaded sections: 10.
   - Improper fraction: \( \frac{10}{12} \), which simplifies to \( \frac{5}{6} \).
   - Mixed number: Since the fraction is less than 1, there's no whole part. It remains \( \frac{5}{6} \).

2. **Diagram (b):**
   - Total sections: 12.
   - Shaded sections: 9.
   - Improper fraction: \( \frac{9}{12} \), which simplifies to \( \frac{3}{4} \).
   - Mixed number: \( \frac{3}{4} \) (no whole number).

3. **Diagram (c):**
   - Total sections: 8 (2 rows of 4).
   - Shaded sections: 7.
   - Improper fraction: \( \frac{7}{8} \).
   - Mixed number: \( \frac{7}{8} \) (no whole number).

4. **Diagram (d):**
   - Total sections: 6 (2 rows of 3).
   - Shaded sections: 5.
   - Improper fraction: \( \frac{5}{6} \).
   - Mixed number: \( \frac{5}{6} \).

5. **Diagram (e):**
   - Total sections: 8.
   - Shaded sections: 6.
   - Improper fraction: \( \frac{6}{8} \), which simplifies to \( \frac{3}{4} \).
   - Mixed number: \( \frac{3}{4} \).

6. **Diagram (f):**
   - Total sections: 10.
   - Shaded sections: 7.
   - Improper fraction: \( \frac{7}{10} \).
   - Mixed number: \( \frac{7}{10} \).

7. **Diagram (g):**
   - Total sections: 12.
   - Shaded sections: 11.
   - Improper fraction: \( \frac{11}{12} \).
   - Mixed number: \( \frac{11}{12} \).

8. **Diagram (h):**
   - Total sections: 12.
   - Shaded sections: 8.
   - Improper fraction: \( \frac{8}{12} \), which simplifies to \( \frac{2}{3} \).
   - Mixed number: \( \frac{2}{3} \).

9. **Diagram (i):**
   - Total sections: 12.
   - Shaded sections: 10.
   - Improper fraction: \( \frac{10}{12} \

Express each diagram as an improper fraction and a mixed number. The diagrams show different shapes divided into equal parts with some shaded.

Learn how to express diagrams as improper fractions and mixed numbers in this guided practice problem. Diagrams are divided into equal parts, and students must identify the shaded portions. Suitable for Grades 3-5.

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