To solve the problem of determining the fraction of each shape that is shaded, we need to analyze each shape individually and count the number of shaded parts relative to the total number of parts in the shape. Let's go through each shape step by step:
---
Shape a:
- The shape is a square divided into 4 smaller squares.
- 1 out of the 4 smaller squares is shaded.
- Fraction shaded: \( \frac{1}{4} \).
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Shape b:
- The shape is a circle divided into 8 equal sectors.
- 3 out of the 8 sectors are shaded.
- Fraction shaded: \( \frac{3}{8} \).
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Shape c:
- The shape is a triangle divided into 2 smaller triangles.
- 1 out of the 2 smaller triangles is shaded.
- Fraction shaded: \( \frac{1}{2} \).
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Shape d:
- The shape is a square divided into 9 smaller squares.
- 5 out of the 9 smaller squares are shaded.
- Fraction shaded: \( \frac{5}{9} \).
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Shape e:
- The shape is a hexagon divided into 6 smaller triangles.
- 3 out of the 6 smaller triangles are shaded.
- Fraction shaded: \( \frac{3}{6} = \frac{1}{2} \).
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Shape f:
- The shape is a star divided into 10 smaller triangular sections.
- 4 out of the 10 sections are shaded.
- Fraction shaded: \( \frac{4}{10} = \frac{2}{5} \).
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Shape g:
- The shape is a grid of 16 smaller squares.
- 7 out of the 16 smaller squares are shaded.
- Fraction shaded: \( \frac{7}{16} \).
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Shape h:
- The shape is a circle divided into 6 equal sectors.
- 2 out of the 6 sectors are shaded.
- Fraction shaded: \( \frac{2}{6} = \frac{1}{3} \).
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Shape i:
- The shape is a star divided into 10 smaller triangular sections.
- 5 out of the 10 sections are shaded.
- Fraction shaded: \( \frac{5}{10} = \frac{1}{2} \).
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Shape j:
- The shape is a pentagon divided into 5 smaller triangular sections.
- 2 out of the 5 sections are shaded.
- Fraction shaded: \( \frac{2}{5} \).
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Shape k:
- The shape is a star divided into 10 smaller triangular sections.
- 4 out of the 10 sections are shaded.
- Fraction shaded: \( \frac{4}{10} = \frac{2}{5} \).
---
Shape l:
- The shape is a square divided into 4 smaller triangles.
- 3 out of the 4 smaller triangles are shaded.
- Fraction shaded: \( \frac{3}{4} \).
---
Final Answers:
\[
\boxed{
\begin{array}{ll}
a) & \frac{1}{4} \\
b) & \frac{3}{8} \\
c) & \frac{1}{2} \\
d) & \frac{5}{9} \\
e) & \frac{1}{2} \\
f) & \frac{2}{5} \\
g) & \frac{7}{16} \\
h) & \frac{1}{3} \\
i) & \frac{1}{2} \\
j) & \frac{2}{5} \\
k) & \frac{2}{5} \\
l) & \frac{3}{4} \\
\end{array}
}
\]
Each fraction represents the proportion of the shape that is shaded.
Parent Tip: Review the logic above to help your child master the concept of draw fractions worksheet.
