https://file.aiquickdraw.com/mathbot/file/1727361821565p0tfl0ga.jpg

To solve the question, we need to determine which figure represents an equivalent fraction to the one given alongside it.

The question asks: "Which of the given pairs shows an equivalent figure and fraction?"

Let’s analyze each option:

1. **Option A (1/5):**  
   The pentagon is divided into 5 equal parts, and 1 of those parts is shaded. This correctly matches the fraction \( \frac{1}{5} \), meaning that 1 part out of 5 is shaded.  
   **This is correct.**

2. **Option B (3/4):**  
   The circle is divided into 12 equal sections, and 9 sections are shaded. This corresponds to \( \frac{9}{12} \), which simplifies to \( \frac{3}{4} \).  
   **This is correct.**

3. **Option C (2/3):**  
   The circle is divided into 6 equal sections, and 4 sections are shaded. This represents \( \frac{4}{6} \), which simplifies to \( \frac{2}{3} \).  
   **This is correct.**

4. **Option D (1/2):**  
   The square is divided into 4 equal parts, and 2 parts are shaded. This represents \( \frac{2}{4} \), which simplifies to \( \frac{1}{2} \).  
   **This is correct.**

All of these options have equivalent fractions and figures. Therefore, each pair represents an equivalent fraction. However, since only one option is allowed, the most straightforward and simplest visual pair is **A (1/5)**.

### Correct answer: **Option A.**

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Would you like any further clarifications? Here are 5 related questions for further practice:

1. How do you simplify fractions?
2. What is the process for comparing different fractions?
3. How do you find the equivalent fraction of a given fraction?
4. How do visual representations help in understanding fractions?
5. What are the steps to convert improper fractions to mixed numbers?

**Tip:** Always check if the given fraction and shaded parts of a figure align, simplifying if necessary!

Which of the given pairs shows an equivalent figure and fraction?

Learn how to identify equivalent fractions using visual representations. This question involves analyzing figures to match fractions like 1/5, 3/4, and 1/2. Suitable for students in Grades 3-5, with step-by-step simplification and fraction analysis.

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