A turtle is crawling up a hill that rises 6 feet for every horizontal change of 36 feet. Write the slope of the hill as a fraction in simplest form.



To find the slope of the hill, we can use the formula for slope, which is:

\[
\text{slope} = \frac{\text{rise}}{\text{run}}
\]

Here, the rise is 6 feet, and the run is 36 feet. So,

\[
\text{slope} = \frac{6}{36}
\]

Now, we simplify this fraction by dividing both the numerator and the denominator by their greatest common divisor, which is 6:

\[
\frac{6 \div 6}{36 \div 6} = \frac{1}{6}
\]

Thus, the slope of the hill in simplest form is:

\[
\frac{1}{6}
\]

Do you want more details or have any questions?

1. How do you find the slope of a line given two points?
2. What is the significance of a slope in real-world problems?
3. Can the slope of a hill ever be negative, and what would that mean?
4. How do you simplify fractions generally?
5. What are some practical applications of slope in engineering?

**Tip:** Always check if a fraction can be simplified by finding the greatest common divisor of the numerator and the denominator.

A turtle is crawling up a hill that rises 6 feet for every horizontal change of 36 feet. Write the slope of the hill as a fraction in simplest form.

Learn how to calculate the slope of a hill with a rise of 6 feet and a horizontal run of 36 feet. The solution involves simplifying the fraction 6/36 to its simplest form, resulting in 1/6. This problem is ideal for students in Grades 6-8.

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