Fraction identification and representation worksheet for math practice.

Let's solve this step-by-step. The worksheet has two parts:

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Part 1: What is the Fraction of the Shaded Area?

We need to determine what fraction of each shape is shaded.

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#### 1) Rectangle divided into 5 equal parts, 3 shaded
- Total parts = 5
- Shaded parts = 3
- Fraction = 3/5

#### 2) Rectangle divided into 3 equal parts, 1 shaded
- Total parts = 3
- Shaded parts = 1
- Fraction = 1/3

#### 3) Rectangle divided into 5 equal parts, 4 shaded
- Total parts = 5
- Shaded parts = 4
- Fraction = 4/5

#### 4) Circle divided into 6 equal parts, 2 shaded
- Total parts = 6
- Shaded parts = 2
- Fraction = 2/6 = 1/3 (simplified)

#### 5) Circle divided into 8 equal parts, 2 shaded
- Total parts = 8
- Shaded parts = 2
- Fraction = 2/8 = 1/4

#### 6) Octagon (8 sides), divided into 8 equal parts, 1 shaded
- Total parts = 8
- Shaded parts = 1
- Fraction = 1/8

#### 7) Rectangle divided into 5 equal parts, 4 shaded
- Total parts = 5
- Shaded parts = 4
- Fraction = 4/5

#### 8) Octagon divided into 8 equal parts, 3 shaded
- Total parts = 8
- Shaded parts = 3
- Fraction = 3/8

#### 9) Rectangle divided into 7 equal parts, 6 shaded
- Total parts = 7
- Shaded parts = 6
- Fraction = 6/7

#### 10) Pentagon divided into 5 equal parts, 3 shaded
- Total parts = 5
- Shaded parts = 3
- Fraction = 3/5

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✔ Part 1 Answers:

1) 3/5
2) 1/3
3) 4/5
4) 2/6 or 1/3
5) 2/8 or 1/4
6) 1/8
7) 4/5
8) 3/8
9) 6/7
10) 3/5

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Part 2: Shade the Figure with the Indicated Fraction

Now we interpret the given fractions and shade accordingly.

> Note: Since you can't actually shade on text, I’ll explain how many parts to shade in each figure.

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#### 11) Circle divided into 4 parts, shade 1/4
- Total parts = 4
- Shade 1 part

#### 12) Octagon divided into 8 parts, shade 6/8
- Total parts = 8
- Shade 6 parts

#### 13) Rectangle divided into 6 parts, shade 1/6
- Total parts = 6
- Shade 1 part

#### 14) Circle divided into 4 parts, shade 3/4
- Total parts = 4
- Shade 3 parts

#### 15) Diamond (square rotated) divided into 4 parts, shade 2/4
- Total parts = 4
- Shade 2 parts (which is half)

#### 16) Circle divided into 6 parts, shade 2/6
- Total parts = 6
- Shade 2 parts

#### 17) Pentagon divided into 5 parts, shade 2/5
- Total parts = 5
- Shade 2 parts

#### 18) Rectangle divided into 8 parts, shade 4/8
- Total parts = 8
- Shade 4 parts

#### 19) Circle divided into 8 parts, shade 3/8
- Total parts = 8
- Shade 3 parts

#### 20) Pentagon divided into 5 parts, shade 1/5
- Total parts = 5
- Shade 1 part

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✔ Part 2 Instructions (for shading):

11) Shade 1 out of 4 parts
12) Shade 6 out of 8 parts
13) Shade 1 out of 6 parts
14) Shade 3 out of 4 parts
15) Shade 2 out of 4 parts
16) Shade 2 out of 6 parts
17) Shade 2 out of 5 parts
18) Shade 4 out of 8 parts
19) Shade 3 out of 8 parts
20) Shade 1 out of 5 parts

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Final Answer Summary:

#### Part 1: Fractions of Shaded Areas
1) 3/5
2) 1/3
3) 4/5
4) 1/3
5) 1/4
6) 1/8
7) 4/5
8) 3/8
9) 6/7
10) 3/5

#### Part 2: How to Shade
Follow the instructions above for each shape based on the given fraction.

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✔ Tip: When simplifying fractions like 2/6 → 1/3 or 4/8 → 1/2, always reduce to lowest terms unless otherwise specified.

Let me know if you'd like a printable version or visual guide!