Compare fractions using visual pie charts on a Grade 3 math worksheet.

The task involves comparing fractions represented by shaded parts of circles and determining whether one fraction is greater than, less than, or equal to the other. Below is a step-by-step explanation of how to solve each problem.

Key Concepts:

1. Fractions as Parts of a Whole: Each circle represents a whole, and the shaded portion represents a fraction of that whole.
2. Comparing Fractions: To compare two fractions, look at the number of shaded parts relative to the total number of parts in each circle.
3. Symbols:
- `>` means "greater than"
- `<` means "less than"
- `=` means "equal to"

Solution for Each Problem:

#### Problem 1:
- Left Circle: 3 out of 4 parts are shaded (Fraction: \( \frac{3}{4} \))
- Right Circle: 4 out of 5 parts are shaded (Fraction: \( \frac{4}{5} \))
- Comparison: \( \frac{3}{4} < \frac{4}{5} \) because \( \frac{4}{5} \) has more shaded parts relative to its total parts.
- Answer: `<`

#### Problem 2:
- Left Circle: 2 out of 3 parts are shaded (Fraction: \( \frac{2}{3} \))
- Right Circle: 3 out of 4 parts are shaded (Fraction: \( \frac{3}{4} \))
- Comparison: \( \frac{2}{3} < \frac{3}{4} \) because \( \frac{3}{4} \) has more shaded parts relative to its total parts.
- Answer: `<`

#### Problem 3:
- Left Circle: 5 out of 8 parts are shaded (Fraction: \( \frac{5}{8} \))
- Right Circle: 3 out of 4 parts are shaded (Fraction: \( \frac{3}{4} \))
- Comparison: \( \frac{5}{8} < \frac{3}{4} \) because \( \frac{3}{4} \) has more shaded parts relative to its total parts.
- Answer: `<`

#### Problem 4:
- Left Circle: 3 out of 6 parts are shaded (Fraction: \( \frac{3}{6} \))
- Right Circle: 2 out of 4 parts are shaded (Fraction: \( \frac{2}{4} \))
- Simplify both fractions:
- \( \frac{3}{6} = \frac{1}{2} \)
- \( \frac{2}{4} = \frac{1}{2} \)
- Comparison: \( \frac{3}{6} = \frac{2}{4} \)
- Answer: `=`

#### Problem 5:
- Left Circle: 7 out of 8 parts are shaded (Fraction: \( \frac{7}{8} \))
- Right Circle: 5 out of 6 parts are shaded (Fraction: \( \frac{5}{6} \))
- Comparison: \( \frac{7}{8} > \frac{5}{6} \) because \( \frac{7}{8} \) has more shaded parts relative to its total parts.
- Answer: `>`

#### Problem 6:
- Left Circle: 3 out of 4 parts are shaded (Fraction: \( \frac{3}{4} \))
- Right Circle: 2 out of 3 parts are shaded (Fraction: \( \frac{2}{3} \))
- Comparison: \( \frac{3}{4} > \frac{2}{3} \) because \( \frac{3}{4} \) has more shaded parts relative to its total parts.
- Answer: `>`

#### Problem 7:
- Left Circle: 1 out of 3 parts are shaded (Fraction: \( \frac{1}{3} \))
- Right Circle: 3 out of 8 parts are shaded (Fraction: \( \frac{3}{8} \))
- Comparison: \( \frac{1}{3} > \frac{3}{8} \) because \( \frac{1}{3} \) has more shaded parts relative to its total parts.
- Answer: `>`

#### Problem 8:
- Left Circle: 3 out of 4 parts are shaded (Fraction: \( \frac{3}{4} \))
- Right Circle: 5 out of 6 parts are shaded (Fraction: \( \frac{5}{6} \))
- Comparison: \( \frac{3}{4} < \frac{5}{6} \) because \( \frac{5}{6} \) has more shaded parts relative to its total parts.
- Answer: `<`

#### Problem 9:
- Left Circle: 2 out of 3 parts are shaded (Fraction: \( \frac{2}{3} \))
- Right Circle: 5 out of 8 parts are shaded (Fraction: \( \frac{5}{8} \))
- Comparison: \( \frac{2}{3} > \frac{5}{8} \) because \( \frac{2}{3} \) has more shaded parts relative to its total parts.
- Answer: `>`

#### Problem 10:
- Left Circle: 3 out of 4 parts are shaded (Fraction: \( \frac{3}{4} \))
- Right Circle: 5 out of 6 parts are shaded (Fraction: \( \frac{5}{6} \))
- Comparison: \( \frac{3}{4} < \frac{5}{6} \) because \( \frac{5}{6} \) has more shaded parts relative to its total parts.
- Answer: `<`

Final Answers:

1. `<`
2. `<`
3. `<`
4. `=`
5. `>`
6. `>`
7. `>`
8. `<`
9. `>`
10. `<`

\boxed{<, <, <, =, >, >, >, <, >, <}