https://file.aiquickdraw.com/mathbot/file/1726065879736a5iyazbg.jpg

Let's go through the problems in the image you provided.

### Problem 1: Simplify the fractions to their simplest form.
- a. \( \frac{8}{16} \)
- b. \( \frac{14}{21} \)
- c. \( \frac{10}{140} \)
- d. \( \frac{245}{350} \)
- e. \( \frac{100}{1000} \)

#### Solutions:
1. \( \frac{8}{16} = \frac{1}{2} \)
2. \( \frac{14}{21} = \frac{2}{3} \)
3. \( \frac{10}{140} = \frac{1}{14} \)
4. \( \frac{245}{350} = \frac{7}{10} \)
5. \( \frac{100}{1000} = \frac{1}{10} \)

---

### Problem 2: Write the simplest fraction for the shaded parts in the diagrams.

#### a. 
The first diagram is a circle divided into 8 parts, with 4 shaded. So, the fraction is:
\[
\frac{4}{8} = \frac{1}{2}
\]

#### b.
The second diagram is a grid with 16 parts, 12 of which are shaded. The fraction is:
\[
\frac{12}{16} = \frac{3}{4}
\]

#### c.
The third diagram is a grid of 24 triangles, with 8 shaded. The fraction is:
\[
\frac{8}{24} = \frac{1}{3}
\]

#### d.
The fourth diagram shows 36 small triangles, with 18 shaded. The fraction is:
\[
\frac{18}{36} = \frac{1}{2}
\]

---

### Problem 3: Fill in the blanks with the correct numbers.

#### a. \( \frac{28}{?} = \frac{2}{3} \)

To find the missing denominator:
\[
28 \div 2 = 14 \quad \text{so} \quad ? = 42
\]

#### b. \( \frac{33}{44} = \frac{?}{4} \)

To find the missing numerator:
\[
44 \div 11 = 4 \quad \text{so} \quad 33 \div 11 = 3
\quad ? = 3
\]

#### c. \( \frac{15}{45} = \frac{1}{?} \)

To find the missing denominator:
\[
45 \div 15 = 3
\quad ? = 3
\]

#### d. \( \frac{?}{81} = \frac{4}{9} \)

To find the missing numerator:
\[
81 \div 9 = 9 \quad \text{so} \quad 9 \times 4 = 36
\quad ? = 36
\]

---

Would you like more detailed explanations or have any specific questions? Here are some related questions for practice:

1. Simplify \( \frac{20}{60} \).
2. What fraction represents 5 shaded parts out of 20?
3. Find the missing number: \( \frac{12}{36} = \frac{1}{?} \).
4. Is \( \frac{15}{45} \) equivalent to \( \frac{1}{3} \)? Why?
5. What is the simplest form of \( \frac{40}{100} \)?

**Tip:** To simplify a fraction, always divide both the numerator and the denominator by their greatest common divisor (GCD).

Simplify fractions, write the simplest fraction for shaded parts, and complete fraction equations based on the provided worksheet.

Solve fraction problems including simplification, equivalent fractions, and completing missing numbers in fraction equations. Suitable for Grade 4 students, this worksheet covers important concepts like identifying the simplest fraction form and finding equivalent fractions.

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