Question

which fraction is represented on the number line below?
0 1
options: $\frac{17}{10}$, $\frac{2}{5}$, $\frac{1}{4}$, $\frac{1}{2}$

Explanation:

Step1: Analyze the number line

The number line is from 0 to 1, and we need to determine the fraction represented by the dot. Let's analyze each option:

• $\frac{17}{10}=1.7$, which is greater than 1, so it can't be on this number line (since the line is from 0 to 1).
• $\frac{2}{5} = 0.4$
• $\frac{1}{4}=0.25$
• $\frac{1}{2}=0.5$

Now, looking at the number line, the dot is closer to 0 but not too close. Let's see the positions:
If we assume the number line is divided into 5 equal parts (since $\frac{2}{5}$ is a candidate), from 0 to 1, each part is $\frac{1}{5}=0.2$. So $\frac{2}{5}$ would be at the second mark (0.2*2 = 0.4), $\frac{1}{4}=0.25$ is at the first quarter mark, $\frac{1}{2}=0.5$ is at the middle.

Looking at the number line, the dot is at a position that is $\frac{2}{5}$ (0.4) because $\frac{1}{4}=0.25$ is too close to 0, $\frac{1}{2}=0.5$ is in the middle, and $\frac{17}{10}$ is over 1. So the correct fraction is $\frac{2}{5}$.

Answer:

$\frac{2}{5}$ (corresponding to the option with $\frac{2}{5}$)