Adding Fractions with Same Denominator | Free Worksheets | Printables - Free Printable

To solve the problem, we need to analyze each pair of figures and determine the equivalent fractions by comparing the shaded parts. Let's go through each question step by step.

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Question 1:

- Left Figure: The circle is divided into 2 equal parts, and 1 part is shaded.
- Fraction: \( \frac{1}{2} \)
- Right Figure: The circle is divided into 4 equal parts, and 2 parts are shaded.
- Fraction: \( \frac{2}{4} \)
- Equivalent Fractions: Both represent the same shaded area.
- Answer: \( \frac{1}{2} = \frac{2}{4} \)

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Question 2:

- Left Figure: The circle is divided into 8 equal parts, and 3 parts are shaded.
- Fraction: \( \frac{3}{8} \)
- Right Figure: The circle is divided into 2 equal parts, and 1 part is shaded.
- Fraction: \( \frac{1}{2} \)
- Equivalent Fractions: These are not directly equivalent, but we can check if they can be simplified or compared.
- Answer: \( \frac{3}{8} \neq \frac{1}{2} \) (No equivalence here as given).

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Question 3:

- Left Figure: The circle is divided into 3 equal parts, and 2 parts are shaded.
- Fraction: \( \frac{2}{3} \)
- Right Figure: The circle is divided into 6 equal parts, and 4 parts are shaded.
- Fraction: \( \frac{4}{6} \)
- Equivalent Fractions: Simplify \( \frac{4}{6} \):
- \( \frac{4}{6} = \frac{2}{3} \)
- Answer: \( \frac{2}{3} = \frac{4}{6} \)

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Question 4:

- Left Figure: The circle is divided into 4 equal parts, and 2 parts are shaded.
- Fraction: \( \frac{2}{4} \)
- Right Figure: The circle is divided into 8 equal parts, and 4 parts are shaded.
- Fraction: \( \frac{4}{8} \)
- Equivalent Fractions: Simplify \( \frac{2}{4} \) and \( \frac{4}{8} \):
- \( \frac{2}{4} = \frac{1}{2} \)
- \( \frac{4}{8} = \frac{1}{2} \)
- Answer: \( \frac{2}{4} = \frac{4}{8} \)

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Question 5:

- Left Figure: The circle is divided into 4 equal parts, and 3 parts are shaded.
- Fraction: \( \frac{3}{4} \)
- Right Figure: The circle is divided into 8 equal parts, and 6 parts are shaded.
- Fraction: \( \frac{6}{8} \)
- Equivalent Fractions: Simplify \( \frac{6}{8} \):
- \( \frac{6}{8} = \frac{3}{4} \)
- Answer: \( \frac{3}{4} = \frac{6}{8} \)

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Question 6:

- Left Figure: The circle is divided into 8 equal parts, and 4 parts are shaded.
- Fraction: \( \frac{4}{8} \)
- Right Figure: The circle is divided into 4 equal parts, and 2 parts are shaded.
- Fraction: \( \frac{2}{4} \)
- Equivalent Fractions: Simplify both fractions:
- \( \frac{4}{8} = \frac{1}{2} \)
- \( \frac{2}{4} = \frac{1}{2} \)
- Answer: \( \frac{4}{8} = \frac{2}{4} \)

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Question 7:

- Left Figure: The circle is divided into 10 equal parts, and 5 parts are shaded.
- Fraction: \( \frac{5}{10} \)
- Right Figure: The circle is divided into 4 equal parts, and 2 parts are shaded.
- Fraction: \( \frac{2}{4} \)
- Equivalent Fractions: Simplify both fractions:
- \( \frac{5}{10} = \frac{1}{2} \)
- \( \frac{2}{4} = \frac{1}{2} \)
- Answer: \( \frac{5}{10} = \frac{2}{4} \)

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Question 8:

- Left Figure: The circle is divided into 2 equal parts, and 1 part is shaded.
- Fraction: \( \frac{1}{2} \)
- Right Figure: The circle is divided into 6 equal parts, and 3 parts are shaded.
- Fraction: \( \frac{3}{6} \)
- Equivalent Fractions: Simplify \( \frac{3}{6} \):
- \( \frac{3}{6} = \frac{1}{2} \)
- Answer: \( \frac{1}{2} = \frac{3}{6} \)

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Final Answers:

1. \( \frac{1}{2} = \frac{2}{4} \)
2. \( \frac{3}{8} \neq \frac{1}{2} \) (No equivalence)
3. \( \frac{2}{3} = \frac{4}{6} \)
4. \( \frac{2}{4} = \frac{4}{8} \)
5. \( \frac{3}{4} = \frac{6}{8} \)
6. \( \frac{4}{8} = \frac{2}{4} \)
7. \( \frac{5}{10} = \frac{2}{4} \)
8. \( \frac{1}{2} = \frac{3}{6} \)

\[
\boxed{
\begin{array}{ll}
1. & \frac{1}{2} = \frac{2}{4} \\
2. & \frac{3}{8} \neq \frac{1}{2} \\
3. & \frac{2}{3} = \frac{4}{6} \\
4. & \frac{2}{4} = \frac{4}{8} \\
5. & \frac{3}{4} = \frac{6}{8} \\
6. & \frac{4}{8} = \frac{2}{4} \\
7. & \frac{5}{10} = \frac{2}{4} \\
8. & \frac{1}{2} = \frac{3}{6} \\
\end{array}
}
\]