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Based on the image you uploaded, you are asked to identify equivalent fractions to \( \frac{1}{2} \) using a fraction wall. Here’s how to solve each part of the challenge:

### 1. Identifying fractions equivalent to \( \frac{1}{2} \)
Looking at the fraction wall, \( \frac{1}{2} \) takes up exactly half of the full length of "1". Other fractions that take up the same amount of space as \( \frac{1}{2} \) are:

\[
\frac{1}{2} = \frac{2}{4} = \frac{3}{6} = \frac{4}{8} = \frac{5}{10}
\]

These fractions are equivalent because they all represent half of the whole.

### 2. How to know which fractions are equivalent to \( \frac{1}{2} \)
Equivalent fractions have the same value but different numerators and denominators. To verify that fractions are equivalent to \( \frac{1}{2} \), you can multiply both the numerator and denominator of \( \frac{1}{2} \) by the same number. For example:

\[
\frac{1}{2} \times \frac{2}{2} = \frac{2}{4}, \quad \frac{1}{2} \times \frac{3}{3} = \frac{3}{6}, \quad \frac{1}{2} \times \frac{4}{4} = \frac{4}{8}
\]

This shows that the fractions are equivalent because multiplying by a form of 1 (e.g., \( \frac{2}{2} \), \( \frac{3}{3} \)) keeps the value of the fraction the same.

### 3. Writing two more fractions equivalent to \( \frac{1}{2} \)
Two additional fractions that are equivalent to \( \frac{1}{2} \) are:

\[
\frac{6}{12} \quad \text{and} \quad \frac{7}{14}
\]

These can be found by continuing the pattern of multiplying both numerator and denominator by the same number.

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Would you like further details or explanations on this?

Here are 5 questions to expand your understanding:
1. What process would you use to find more fractions equivalent to \( \frac{1}{2} \)?
2. How can you check if two fractions are equivalent without using a fraction wall?
3. Why does multiplying the numerator and denominator by the same number keep a fraction equivalent?
4. Can you find a fraction larger than \( \frac{1}{2} \) on the fraction wall?
5. What is the simplest form of a fraction, and how do you reduce fractions?

**Tip:** When comparing fractions, look at their decimal forms to see if they represent the same value.

Use the fraction wall to identify all the fractions that are equivalent to 1/2. Explain how you knew which fractions were equivalent to a half. Write another two fractions that are equivalent to a half.

Learn how to identify fractions equivalent to 1/2 using a fraction wall. This exercise helps students in grades 3-5 understand equivalent fractions, how to explain them, and how to find additional equivalent fractions like 6/12 and 7/14.

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