Problem: Equivalent Fractions Worksheet
The task involves identifying equivalent fractions based on the visual representations provided in the worksheet. Each problem shows two sets of shapes, and we need to determine the fraction represented by each set and confirm their equivalence.
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Solution:
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1 a.
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Left Side:
- There are 3 circles, and 2 of them are shaded.
- Fraction: \( \frac{2}{3} \)
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Right Side:
- There are 3 circles, and 2 of them are shaded.
- Fraction: \( \frac{2}{3} \)
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Conclusion:
- Both sides represent the same fraction: \( \frac{2}{3} \).
- Therefore, \( \frac{2}{3} = \frac{2}{3} \).
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2 a.
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Left Side:
- There are 3 circles, and 2 of them are shaded.
- Fraction: \( \frac{2}{3} \)
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Right Side:
- There are 3 circles, and 2 of them are shaded.
- Fraction: \( \frac{2}{3} \)
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Conclusion:
- Both sides represent the same fraction: \( \frac{2}{3} \).
- Therefore, \( \frac{2}{3} = \frac{2}{3} \).
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3 a.
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Left Side:
- There are 4 circles, and 3 of them are shaded.
- Fraction: \( \frac{3}{4} \)
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Right Side:
- There are 4 circles, and 3 of them are shaded.
- Fraction: \( \frac{3}{4} \)
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Conclusion:
- Both sides represent the same fraction: \( \frac{3}{4} \).
- Therefore, \( \frac{3}{4} = \frac{3}{4} \).
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4 a.
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Left Side:
- There are 4 circles, and 3 of them are shaded.
- Fraction: \( \frac{3}{4} \)
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Right Side:
- There are 4 triangles, and 3 of them are shaded.
- Fraction: \( \frac{3}{4} \)
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Conclusion:
- Both sides represent the same fraction: \( \frac{3}{4} \).
- Therefore, \( \frac{3}{4} = \frac{3}{4} \).
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5 a.
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Left Side:
- There are 5 circles, and 4 of them are shaded.
- Fraction: \( \frac{4}{5} \)
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Right Side:
- There are 5 circles, and 4 of them are shaded.
- Fraction: \( \frac{4}{5} \)
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Conclusion:
- Both sides represent the same fraction: \( \frac{4}{5} \).
- Therefore, \( \frac{4}{5} = \frac{4}{5} \).
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Final Answer:
\[
\boxed{
\begin{aligned}
1. & \quad \frac{2}{3} = \frac{2}{3} \\
2. & \quad \frac{2}{3} = \frac{2}{3} \\
3. & \quad \frac{3}{4} = \frac{3}{4} \\
4. & \quad \frac{3}{4} = \frac{3}{4} \\
5. & \quad \frac{4}{5} = \frac{4}{5}
\end{aligned}
}
\]
Parent Tip: Review the logic above to help your child master the concept of improper fractions worksheet 4th grade.
