Comparing Fractions Worksheet: Shade the models and determine if fractions are less than, greater than, or equal to each other.

To solve the problem of comparing fractions and shading the fraction models, we need to analyze each pair of fractions step by step. Let's go through each question:

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Question 1:

- Fractions: $\frac{3}{4}$ and $\frac{1}{4}$
- Shading:
- $\frac{3}{4}$: Shade 3 out of 4 parts.
- $\frac{1}{4}$: Shade 1 out of 4 parts.
- Comparison: Since 3 parts are more than 1 part, $\frac{3}{4} > \frac{1}{4}$.

Answer: $\boxed{>}$

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Question 2:

- Fractions: $\frac{2}{8}$ and $\frac{1}{4}$
- Simplify $\frac{2}{8}$: $\frac{2}{8} = \frac{1}{4}$ (both numerator and denominator divided by 2).
- Shading:
- $\frac{2}{8}$: Shade 2 out of 8 parts.
- $\frac{1}{4}$: Shade 1 out of 4 parts (which is equivalent to 2 out of 8 parts).
- Comparison: Since $\frac{2}{8} = \frac{1}{4}$, the two fractions are equal.

Answer: $\boxed{=}$

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Question 3:

- Fractions: $\frac{2}{3}$ and $\frac{2}{6}$
- Shading:
- $\frac{2}{3}$: Shade 2 out of 3 parts.
- $\frac{2}{6}$: Shade 2 out of 6 parts.
- Comparison: $\frac{2}{3}$ is larger because 2 parts out of 3 are more than 2 parts out of 6.

Answer: $\boxed{>}$

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Question 4:

- Fractions: $\frac{1}{3}$ and $\frac{2}{3}$
- Shading:
- $\frac{1}{3}$: Shade 1 out of 3 parts.
- $\frac{2}{3}$: Shade 2 out of 3 parts.
- Comparison: Since 1 part is less than 2 parts, $\frac{1}{3} < \frac{2}{3}$.

Answer: $\boxed{<}$

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Question 5:

- Fractions: $\frac{5}{6}$ and $\frac{2}{6}$
- Shading:
- $\frac{5}{6}$: Shade 5 out of 6 parts.
- $\frac{2}{6}$: Shade 2 out of 6 parts.
- Comparison: Since 5 parts are more than 2 parts, $\frac{5}{6} > \frac{2}{6}$.

Answer: $\boxed{>}$

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Question 6:

- Fractions: $\frac{3}{5}$ and $\frac{6}{10}$
- Simplify $\frac{6}{10}$: $\frac{6}{10} = \frac{3}{5}$ (both numerator and denominator divided by 2).
- Shading:
- $\frac{3}{5}$: Shade 3 out of 5 parts.
- $\frac{6}{10}$: Shade 6 out of 10 parts (which is equivalent to 3 out of 5 parts).
- Comparison: Since $\frac{3}{5} = \frac{6}{10}$, the two fractions are equal.

Answer: $\boxed{=}$

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Question 7:

- Fractions: $\frac{2}{3}$ and $\frac{2}{8}$
- Shading:
- $\frac{2}{3}$: Shade 2 out of 3 parts.
- $\frac{2}{8}$: Shade 2 out of 8 parts.
- Comparison: $\frac{2}{3}$ is larger because 2 parts out of 3 are more than 2 parts out of 8.

Answer: $\boxed{>}$

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Question 8:

- Fractions: $\frac{1}{4}$ and $\frac{1}{6}$
- Shading:
- $\frac{1}{4}$: Shade 1 out of 4 parts.
- $\frac{1}{6}$: Shade 1 out of 6 parts.
- Comparison: Since 1 part out of 4 is more than 1 part out of 6, $\frac{1}{4} > \frac{1}{6}$.

Answer: $\boxed{>}$

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Final Answers:

1. $\boxed{>}$
2. $\boxed{=}$
3. $\boxed{>}$
4. $\boxed{<}$
5. $\boxed{>}$
6. $\boxed{=}$
7. $\boxed{>}$
8. $\boxed{>}$

Boxed Final Answer:
$$
\boxed{>, =, >, <, >, =, >, >}
$$