A road has a grade of 6%. What is the slope of this road?

Step 1 ：First, we need to understand that the grade of a road is a measure of its steepness, or the degree of difficulty in travelling along it. It is calculated by the ratio of the vertical change to the horizontal change. As we know, this is also the definition of slope in mathematics. So, the grade of a road is the same as the slope.

Step 2 ：However, the grade is usually expressed as a percentage, while the slope is a ratio. Therefore, we need to convert the percentage to a ratio. To do this, we simply divide the percentage by 100.

Step 3 ：\[ \text{Slope} = \frac{\text{Grade}}{100} \]

Step 4 ：\[ \text{Slope} = \frac{6}{100} \]