Questions: The roots of a plant reach down 3 3/4 inches below ground. How many inches is the plant above the ground?

The roots of a plant reach down 3 3/4 inches below ground. How many inches is the plant above the ground?
Transcript text: The roots of a plant reach down $3 \frac{3}{4}$ inches below ground. How many inches is the plant above the ground?
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Solution

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Solution Steps

Step 1: Understand the Problem

The problem states that the roots of a plant reach down 3 3/4 inches below the ground. The total height of the plant, including the part above and below the ground, is 12 1/2 inches. We need to find out how many inches the plant is above the ground.

Step 2: Convert Mixed Numbers to Improper Fractions

First, convert the mixed numbers to improper fractions for easier calculation.

  • 3 3/4 inches = (3 * 4 + 3)/4 = 15/4 inches
  • 12 1/2 inches = (12 * 2 + 1)/2 = 25/2 inches
Step 3: Subtract the Depth of the Roots from the Total Height

To find the height of the plant above the ground, subtract the depth of the roots from the total height of the plant.

  • Convert 25/2 to a common denominator with 15/4:
    • 25/2 = 50/4
  • Subtract 15/4 from 50/4:
    • 50/4 - 15/4 = 35/4
Step 4: Convert the Result Back to a Mixed Number

Convert 35/4 back to a mixed number:

  • 35/4 = 8 3/4

Final Answer

The plant is 8 3/4 inches above the ground.

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