Use the image to answer the question.

Question

An illustration shows a number line with arrows at both ends. There are 9 tick marks on the number line. The first tick mark is labeled 0. The ninth tick mark is labeled 1. The fourth tick mark is labeled A. A closed point is marked at A. None of the other tick marks are labeled.

What fraction is represented by A
on the number line?

(1 point)

Answer 1

To determine the fraction represented by point A on the number line, we first observe that there are 9 tick marks between 0 and 1, which means that each tick mark represents an increment of \( \frac{1}{8} \) because:

\[ \text{Total increments} = 9 - 1 = 8 \quad \Rightarrow \quad \text{Value of each tick mark} = \frac{1}{8} \]

Now, we count the position of point A. It is labeled on the 4th tick mark.

Starting from 0:

• 1st tick mark = \( \frac{1}{8} \)
• 2nd tick mark = \( \frac{2}{8} = \frac{1}{4} \)
• 3rd tick mark = \( \frac{3}{8} \)
• 4th tick mark = \( \frac{4}{8} = \frac{1}{2} \)

Thus, point A corresponds to the value \( \frac{1}{2} \).

Therefore, the fraction represented by A on the number line is \( \frac{1}{2} \).