Question

what fraction does the point on the number line show? a \\(\frac{1}{2}\\) b \\(\frac{1}{3}\\) c \\(\frac{1}{4}\\) d \\(\frac{3}{4}\\)

Explanation:

Step1: Analyze the number line

The number line is from 0 to 1, and there are two main marks (0, a middle mark, and 1)? Wait, no, looking at the number line, the segment from 0 to 1 is divided into three equal parts? Wait, no, the green dot is at the first division if we consider 0 to 1 divided into 3 parts? Wait, no, let's check the options. The options are 1/3, 1/2, 1/4, 3/4. Wait, the number line: from 0 to 1, there is a mark between 0 and 1, and then the green dot is at the first third? Wait, no, maybe the number line is divided into 3 parts? Wait, no, let's see: the distance from 0 to the green dot, then to the next mark, then to 1. So total parts: from 0 to 1, how many equal parts? Let's count the intervals. From 0 to the green dot: 1 part, green dot to next mark: 1 part, next mark to 1: 1 part? Wait, no, the number line has 0, then a green dot, then a mark, then 1. So the segment from 0 to 1 is divided into 3 equal parts? Wait, no, maybe it's divided into 3 parts? Wait, the options include 1/3. Let's think: if the number line from 0 to 1 is divided into 3 equal segments, then the first segment (from 0 to the green dot) is 1/3 of the total length (since 0 to 1 is length 1, divided into 3 parts, each part is 1/3). So the green dot is at 1/3? Wait, no, wait the options: A is 1/2, B is 1/3, C is 1/4, D is 3/4. Wait, maybe the number line is divided into 3 parts? Wait, let's re-examine the number line. The left end is 0, then a green dot, then a vertical line, then 1. So the distance from 0 to the green dot, green dot to the vertical line, vertical line to 1. So three equal parts? So each part is 1/3. So the green dot is at 1/3? Wait, no, maybe the vertical line is at 2/3? Wait, no, 0 to 1, with a mark at 2/3? No, the green dot is between 0 and the middle mark (if it's divided into 3 parts). Wait, maybe the number line is divided into 3 equal parts, so the first division (green dot) is at 1/3. So the fraction is 1/3, which is option B.

Step2: Confirm the fraction

The number line from 0 to 1 is divided into 3 equal segments (since there are two intervals: 0 to green dot, green dot to middle mark, middle mark to 1). So each segment has length \( \frac{1}{3} \). The green dot is at the end of the first segment, so its position is \( \frac{1}{3} \).

Answer:

B. \( \frac{1}{3} \)