Step-by-step explanation:
We have the fractions [tex]\frac{1}{4}[/tex] and [tex]\frac{2}{3}[/tex].
To see if they are equivalent, let's find a common denominator to compare the fractions. The least common multiple of the denominators [tex]3[/tex] and [tex]4[/tex] is [tex]12[/tex], so let's convert the fractions to have this denominator.
[tex]\frac{1}{4} = \frac{3}{12}[/tex]
[tex]\frac{2}{3} = \frac{8}{12}[/tex]
Now that they have common denominators, we can see that the fractions are not equivalent.
