https://file.aiquickdraw.com/mathbot/file/17304256023610fp5y3z7.jpg

To solve this problem, let’s go through each step with the details provided:

1. **Understanding the Fractional Requirement**:
   - Mark needs \( \frac{4}{4} \) of a cup of coconut water, which is equivalent to 1 whole cup.
   - He only has a \( \frac{1}{8} \)-cup measuring cup.

2. **Determining the Number of \( \frac{1}{8} \)-Cup Portions in a Whole ( \( \frac{4}{4} \) )**:
   - To find how many \( \frac{1}{8} \) cups are in \( \frac{4}{4} \) (or 1 cup), divide \( \frac{4}{4} \) by \( \frac{1}{8} \):
     \[
     \frac{4}{4} \div \frac{1}{8} = 4 \times 8 = 8
     \]
   - This means that 8 portions of \( \frac{1}{8} \) make up \( \frac{4}{4} \).

3. **Using the Model**:
   - The model shows that each section represents \( \frac{1}{8} \) of the cup, and there are 8 sections total, filling the whole bar to show one complete cup.

4. **Completing the Equation**:
   - The equation \(4 \text{ fourths} = \_\_ \text{ eighths} \) implies that 4 fourths (or one whole) is equivalent to 8 eighths.
   - Therefore, the answer for the blank is **8**.

So, the answer to complete the equation is:
\[
4 \text{ fourths} = 8 \text{ eighths}
\]

Would you like more details on any of these steps or have any questions?

Here are five related questions to expand understanding:
1. What does dividing by a fraction actually mean in real-life scenarios?
2. How can you convert any fraction into eighths?
3. If Mark needed \( \frac{6}{4} \) cups, how many \( \frac{1}{8} \) cups would he need?
4. How would this model look if Mark had a \( \frac{1}{4} \)-cup measuring cup instead?
5. Why does dividing by \( \frac{1}{8} \) result in multiplying by 8?

**Tip**: When dividing by a fraction, remember to multiply by the reciprocal of that fraction.

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

Learn how to find how many 1/8 measuring cups are in a whole cup using division of fractions. This problem demonstrates equivalent fractions and division concepts, suitable for Grade 4 students.

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