Question

Which of the following equivalent fractions is not equal to the other fractions?

Answer 1

Let us represent the options visually to compare.
$\bullet$ Option A: $\frac{2}{4}$


$\bullet$ Option B: $\frac{1}{2}$


$\bullet$ Option C: $\frac{3}{6}$


$\bullet$ Option D: $\frac{2}{6}$


Let's divide the numerator and denominator of $\frac{2}{4}$ by $2,\frac{3}{6}$ by $3,$ and $\frac{2}{6}$ by $2$.

$\frac{2÷2}{4÷2}=\frac{1}{2}$

$\frac{3÷3}{6÷3}=\frac{1}{2}$

$\frac{2÷2}{6÷2}=\frac{1}{3}$

This means $\frac{1}{2},\frac{2}{4},$ and $\frac{3}{6}$ are all equivalent fractions of $\frac{1}{2}$ except $\frac{2}{6}.$
This means, for option D to be equal to the other 3 options, 3 parts need to be shaded so that the fraction of the colored part becomes $\frac{3}{6},$ which is an equivalent fraction of $\frac{1}{2}.$

Hence, option D is the correct answer.