Ms. Dawson's health class is studying nutrition. The class split into four groups, and each group was assigned a different type of juice. Before looking at the nutrients in their juice, each group rated its taste on a scale from 1 to 10 and calculated an average rating. This table shows the ratings they reported.
Type of juice	Average rating
apple	8 1/2
orange	8 3/4
grape	8.3
pineapple	8 3/5
How many types of juice had an average rating greater than 8.4?

To solve the problem of determining how many types of juice had an average rating greater than 8.4, let's first convert all the ratings to decimal form for easier comparison.

Here are the conversions:

1. **Apple**: \( 8 \frac{1}{2} = 8.5 \)
2. **Orange**: \( 8 \frac{3}{4} = 8.75 \)
3. **Grape**: \( 8.3 \) (already in decimal form)
4. **Pineapple**: \( 8 \frac{3}{5} = 8.6 \)

Now, we compare each rating with 8.4:

- Apple: \( 8.5 > 8.4 \)
- Orange: \( 8.75 > 8.4 \)
- Grape: \( 8.3 \not> 8.4 \)
- Pineapple: \( 8.6 > 8.4 \)

So, there are **three** types of juice with an average rating greater than 8.4.

Would you like more details or have any questions about this? 

Here are some additional questions you might find interesting:
1. What is the difference between the highest and lowest average ratings?
2. How would the results change if Grape juice had a rating of 8.5?
3. If a fifth group rated their juice as 8.1, how would that affect the overall average rating of all juices?
4. How can the class calculate the total average rating across all groups?
5. What would the decimal form of \( 8 \frac{7}{10} \) be?
6. How does converting fractions to decimals help in comparing values?
7. If the Grape juice had been rated as 8.4 exactly, would it be considered "greater than" 8.4?
8. What mathematical operations are involved in converting fractions to decimals?

**Tip:** When comparing fractions and decimals, converting all numbers to decimal form first can make the process much easier and less error-prone.

Discover how many types of juice had an average rating greater than 8.4 with a detailed step-by-step solution. This problem involves converting ratings to decimals and comparing them, suitable for Grades 4-6 students.

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