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The question asks to determine how many \( \frac{1}{8} \) cups fit into \( \frac{2}{4} \) of a cup. Let's go through the steps to solve this.

### Step-by-Step Solution

1. **Understanding Fractions in the Question**:
   - Mark has \( \frac{2}{4} \) of a cup of blackberries.
   - He is using a \( \frac{1}{8} \) measuring cup.

2. **Convert \( \frac{2}{4} \) to Simplest Terms**:
   - \( \frac{2}{4} = \frac{1}{2} \) (since both the numerator and denominator are divisible by 2).

3. **Find How Many \( \frac{1}{8} \) Cups Are in \( \frac{1}{2} \)**:
   - To do this, divide \( \frac{1}{2} \) by \( \frac{1}{8} \):
   \[
   \frac{1}{2} \div \frac{1}{8} = \frac{1}{2} \times \frac{8}{1} = \frac{8}{2} = 4
   \]

4. **Interpretation**:
   - This means there are 4 of the \( \frac{1}{8} \) measuring cups in \( \frac{2}{4} \) (or \( \frac{1}{2} \)) cup of blackberries.

5. **Complete the Equation**:
   - Therefore, \( 2 \) fourths \( = 4 \) eighths.

### Final Answer

The answer to the blank in the equation is:
\[
2 \text{ fourths} = 4 \text{ eighths}
\]

Would you like more details or have any questions?

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Here are five related questions to expand your understanding:
1. How can you determine how many \( \frac{1}{6} \) cups fit into \( \frac{3}{4} \) of a cup?
2. If Mark wanted to use \( \frac{3}{8} \) of a cup instead of \( \frac{1}{8} \), how would the calculation change?
3. Can you represent \( \frac{3}{4} \) as a fraction in terms of eighths?
4. How would you calculate if Mark had a \( \frac{1}{4} \) measuring cup and needed \( \frac{5}{8} \) of a cup?
5. What does it mean to divide by a fraction, and why does it involve multiplying by its reciprocal?

**Tip:** Remember, dividing by a fraction is the same as multiplying by its reciprocal (flipping the fraction). This can help solve problems involving smaller portions.

Mark is making a triple berry smoothie with raspberries, blackberries, blueberries, and coconut water. He only has a 1/8 measuring cup. Mark needs 2/4 of a cup of blackberries. Divide the model to show how many 1/8 cups are in 2/4. Complete the equation: 2 fourths = __ eighths.

Learn how to determine the number of 1/8 cups in 2/4 of a cup with a step-by-step explanation. This problem covers the concepts of fractions, equivalent fractions, and dividing fractions. Suitable for students in Grades 3-5.

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