Emma is planning her garden and wants to balance the height of different types of plants. She starts by planting two different types of plants. Type A: These plants grow to a height of 5/4 above the ground. Type B: Unfortunately, due to soil conditions, these plants grow downwards, with their roots extending -3/2 feet below the ground level. Emma decides to make some changes: (I)  she trims the roots of type B plants reducing the downward growth by 5/6 feet. Find the height of type B plant after the adjustments. 

To find the height of Type B plants after the adjustment, we will follow these steps:

### Step 1: Initial height of Type B plant

The original height (or downward growth) of the Type B plants is given as:

\[
\text{Initial height of Type B} = -\frac{3}{2} \text{ feet}
\]

This represents the downward extension of the roots, below ground level.

### Step 2: Adjustment by trimming the roots

Emma trims the roots, reducing the downward growth by \( \frac{5}{6} \) feet. This means we are adding \( \frac{5}{6} \) feet to the original downward height:

\[
\text{New height of Type B} = -\frac{3}{2} + \frac{5}{6}
\]

### Step 3: Finding a common denominator

To add these fractions, we first need to find a common denominator. The least common denominator (LCD) of 2 and 6 is 6, so we rewrite both fractions with denominator 6:

\[
-\frac{3}{2} = -\frac{9}{6}
\]

\[
\frac{5}{6} = \frac{5}{6}
\]

### Step 4: Add the fractions

Now, add the two fractions:

\[
-\frac{9}{6} + \frac{5}{6} = \frac{-9 + 5}{6} = \frac{-4}{6} = -\frac{2}{3}
\]

### Step 5: Conclusion

The new height of the Type B plant, after trimming, is \( -\frac{2}{3} \) feet below ground level.

### Final Answer:

The height of the Type B plant after the adjustment is \( -\frac{2}{3} \) feet.

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

Here are some related questions you might find interesting:
1. What is the total height difference between Type A and Type B plants after the adjustment?
2. If Emma further reduces the downward growth of Type B by 1/2 feet, what would be the new height?
3. How much total trimming is required to bring Type B's height to ground level?
4. If Type A grows an additional 1/4 feet, what will be the new height of Type A?
5. What is the average height between Type A and Type B plants after adjustments?

**Tip:** Always try to reduce fractions to their simplest form when performing calculations to avoid unnecessary complications.

Emma is planning her garden and wants to balance the height of different types of plants. She starts by planting two different types of plants. Type A: These plants grow to a height of 5/4 above the ground. Type B: Unfortunately, due to soil conditions, these plants grow downwards, with their roots extending -3/2 feet below the ground level. Emma decides to make some changes: (I) she trims the roots of type B plants reducing the downward growth by 5/6 feet. Find the height of type B plant after the adjustments.

Solve Emma's garden problem by adjusting the height of Type B plants. This problem involves adding fractions and working with negative numbers to determine the final height of plants. Suitable for Grades 6-8.

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