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The image contains five fraction problems that involve simplifying fractions and possibly solving for equivalent fractions. Let's go through them one by one.

### 1. Problem 1: 
\[
\frac{2}{5} = \frac{\_}{\_} \times \frac{\_}{\_} = \frac{\_}{\_}
\]
This problem seems to ask for multiplying the fraction by another fraction (most likely 1 in the form of \(\frac{a}{a}\)) to create an equivalent fraction.

### 2. Problem 2:
\[
\frac{10}{25} = \frac{\_}{\_} \times \frac{\_}{\_} = \frac{\_}{\_}
\]
This involves simplifying \(\frac{10}{25}\) by multiplying it by \(\frac{a}{a}\) to get an equivalent fraction.

### 3. Problem 3:
\[
\frac{12}{20} = \frac{\_}{\_} \times \frac{\_}{\_} = \frac{\_}{\_}
\]
This again involves simplifying or creating an equivalent fraction for \(\frac{12}{20}\).

### 4. Problem 4:
\[
\frac{6}{10} = \frac{\_}{\_}
\]
This problem asks for the simplified form of \(\frac{6}{10}\).

### 5. Problem 5:
\[
\frac{25}{200} = \frac{\_}{\_}
\]
This one asks for the simplified form of \(\frac{25}{200}\).

### Solutions:

1. **First problem**:
   \[
   \frac{2}{5} = \frac{2}{5} \times \frac{1}{1} = \frac{2}{5}
   \]
   The fraction is already in its simplest form.

2. **Second problem**:
   \[
   \frac{10}{25} = \frac{10}{25} \times \frac{1}{1} = \frac{2}{5}
   \]
   Simplifying by dividing both numerator and denominator by their greatest common divisor (GCD), which is 5.

3. **Third problem**:
   \[
   \frac{12}{20} = \frac{12}{20} \times \frac{1}{1} = \frac{3}{5}
   \]
   Simplifying by dividing both numerator and denominator by their GCD, which is 4.

4. **Fourth problem**:
   \[
   \frac{6}{10} = \frac{3}{5}
   \]
   Simplifying by dividing both numerator and denominator by their GCD, which is 2.

5. **Fifth problem**:
   \[
   \frac{25}{200} = \frac{1}{8}
   \]
   Simplifying by dividing both numerator and denominator by their GCD, which is 25.

Would you like more details or have any questions? Here are five related questions:

1. What is the process to find the greatest common divisor (GCD)?
2. How do you know when a fraction is in its simplest form?
3. Can all fractions be simplified?
4. How do you multiply fractions to find an equivalent fraction?
5. What are some practical applications of simplifying fractions?

**Tip:** When simplifying fractions, always check for the greatest common divisor (GCD) to reduce the fraction to its simplest form.

Simplifying fractions and multiplying them to find equivalent fractions

Learn how to simplify fractions and multiply them to find equivalent forms. This includes problems such as simplifying 10/25, 12/20, and multiplying fractions by 1 to find equivalent fractions.

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