n his garden Tim plants the seed 5 and one half
 in. below the ground. After one month the tomato plant has grown a total of 11 and three fourths
 in. How many inches is the plant above the​ ground?
Question content area bottom
Part 1
The tomato plant is 
  
enter your response here in. above the ground.

To determine how many inches the tomato plant is **above the ground**, we need to subtract the depth it was planted below the ground from the total growth.

The plant was planted **5 and one-half inches** below the ground, and it grew a total of **11 and three-fourths inches**.

### Step 1: Convert both values to improper fractions.
- **5 and one-half inches** = \( 5 \frac{1}{2} = \frac{11}{2} \) inches
- **11 and three-fourths inches** = \( 11 \frac{3}{4} = \frac{47}{4} \) inches

### Step 2: Subtract the depth from the total growth.
We subtract the depth (which is a negative value) from the total growth:
\[
\text{Height above ground} = \frac{47}{4} - \frac{11}{2}
\]

To perform this operation, we need to express both fractions with a common denominator:
\[
\frac{11}{2} = \frac{22}{4}
\]
Now subtract:
\[
\frac{47}{4} - \frac{22}{4} = \frac{25}{4}
\]

### Step 3: Convert the result back to a mixed number.
\[
\frac{25}{4} = 6 \frac{1}{4}
\]

So, the tomato plant is **6 and one-fourth inches** above the ground.

Would you like more details or have any questions?

Here are some related questions you might find interesting:
1. How do you convert mixed numbers to improper fractions?
2. How do you add and subtract fractions with different denominators?
3. What are some real-life applications of adding and subtracting fractions?
4. How can you estimate fractional values in measurements?
5. What is the easiest way to convert fractions to decimals?

**Tip:** When working with fractions, always ensure a common denominator before performing addition or subtraction!

In his garden, Tim plants the seed 5 and one-half inches below the ground. After one month, the tomato plant has grown a total of 11 and three-fourths inches. How many inches is the plant above the ground?

Learn how to calculate the height of a tomato plant above the ground. This problem involves converting mixed numbers to improper fractions and subtracting fractions with common denominators. Suitable for students in Grades 5-6, this step-by-step guide simplifies the process of working with fractions.

Math Problem Statement

Solution

Ask a new question for Free

By Image

Math Problem Analysis

Mathematical Concepts

Formulas

Theorems

Suitable Grade Level

Related Recommendation