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
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2) Rectangle divided into 3 equal parts, 1 shaded
- Total parts = 3
- Shaded parts = 1
- Fraction =
1/3
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3) Rectangle divided into 5 equal parts, 4 shaded
- Total parts = 5
- Shaded parts = 4
- Fraction =
4/5
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4) Circle divided into 6 equal parts, 2 shaded
- Total parts = 6
- Shaded parts = 2
- Fraction =
2/6 = 1/3 (simplified)
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5) Circle divided into 8 equal parts, 2 shaded
- Total parts = 8
- Shaded parts = 2
- Fraction =
2/8 = 1/4
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6) Octagon (8 sides), divided into 8 equal parts, 1 shaded
- Total parts = 8
- Shaded parts = 1
- Fraction =
1/8
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7) Rectangle divided into 5 equal parts, 4 shaded
- Total parts = 5
- Shaded parts = 4
- Fraction =
4/5
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8) Octagon divided into 8 equal parts, 3 shaded
- Total parts = 8
- Shaded parts = 3
- Fraction =
3/8
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9) Rectangle divided into 7 equal parts, 6 shaded
- Total parts = 7
- Shaded parts = 6
- Fraction =
6/7
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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)
1/3
5)
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 need to shade the correct number of parts based on the given fraction.
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11) Circle divided into 4 parts → shade 1/4
- Shade
1 out of 4 sections
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12) Octagon (8 parts) → shade 6/8
- Shade
6 out of 8 sections
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13) Rectangle divided into 6 parts → shade 1/6
- Shade
1 out of 6 parts
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14) Circle divided into 4 parts → shade 3/4
- Shade
3 out of 4 parts
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15) Diamond (square rotated) divided into 4 parts → shade 2/4
- Shade
2 out of 4 parts (or 1/2)
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16) Circle divided into 6 parts → shade 2/6
- Shade
2 out of 6 parts (simplifies to 1/3)
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17) Pentagon divided into 5 parts → shade 2/5
- Shade
2 out of 5 parts
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18) Rectangle divided into 8 parts → shade 4/8
- Shade
4 out of 8 parts (same as 1/2)
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19) Circle divided into 8 parts → shade 3/8
- Shade
3 out of 8 parts
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20) Pentagon divided into 5 parts → shade 1/5
- Shade
1 out of 5 parts
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✔ Part 2 Instructions:
For each problem, shade the number of parts indicated by the numerator, out of the total number of equal parts (denominator).
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Example: For #11: Circle with 4 parts → shade 1 part.
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Final Answer Summary:
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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
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Part 2: Shade the Figures
11) Shade 1 of 4 parts
12) Shade 6 of 8 parts
13) Shade 1 of 6 parts
14) Shade 3 of 4 parts
15) Shade 2 of 4 parts
16) Shade 2 of 6 parts
17) Shade 2 of 5 parts
18) Shade 4 of 8 parts
19) Shade 3 of 8 parts
20) Shade 1 of 5 parts
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✔ Tip: Always check that the figure is divided into equal parts and count carefully!
Let me know if you'd like a visual guide or printable version!
Parent Tip: Review the logic above to help your child master the concept of fractions basics worksheet.