Question

use the model to help answer the question.
image of fraction bars
which fraction is equivalent to \\(\frac{2}{3}\\) ?
a. \\(\frac{4}{6}\\)
b. \\(\frac{3}{4}\\)
c. \\(\frac{5}{6}\\)
d. \\(\frac{1}{2}\\)

Explanation:

Step1: Simplify each option

For option A: Simplify $\frac{4}{6}$ by dividing numerator and denominator by 2. $\frac{4\div2}{6\div2}=\frac{2}{3}$.
For option B: $\frac{3}{4}$ cannot be simplified to $\frac{2}{3}$ as 3 and 4 have no common factors with 2 and 3 (other than 1).
For option C: $\frac{5}{6}$ is already in simplest form and is not equal to $\frac{2}{3}$.
For option D: $\frac{1}{2}$ is not equal to $\frac{2}{3}$ (cross - multiply: $1\times3 = 3$, $2\times2 = 4$, $3
eq4$).

Answer:

A. $\frac{4}{6}$