Question

use the number lines below to find a fraction that is equivalent to \\(\frac{4}{6}\\) and has a denominator of 3. type the answer in the boxes. \\(\frac{\square}{\square}\\)

Explanation:

Step1: Simplify the given fraction

$\frac{4}{6} = \frac{4\div2}{6\div2} = \frac{2}{3}$

Step2: Verify denominator matches requirement

The simplified fraction has a denominator of 3, which meets the problem's requirement.

Step3: Cross-check with number lines

The first number line has 6 equal parts, $\frac{4}{6}$ is 4 parts. The second number line has 3 equal parts, 2 parts correspond to the same position as $\frac{4}{6}$, confirming $\frac{2}{3}$ is equivalent.

Answer:

$\frac{2}{3}$