Given:
The fraction is [tex]\dfrac{4}{6}[/tex].
To find:
The equivalent fraction.
Solution:
We have,
[tex]\dfrac{4}{6}[/tex]
Here, the numerator is 4 and denominator is 6. Both are even numbers, so they can be divisible by 2.
Divide numerator and denominator by 2.
[tex]\dfrac{4}{6}=\dfrac{\dfrac{4}{2}}{\dfrac{6}{2}}[/tex]
[tex]\dfrac{4}{6}=\dfrac{2}{3}[/tex]
[tex]\dfrac{4}{6}\equiv \dfrac{2}{3}[/tex]
So, the given fraction is equivalent to [tex]\dfrac{2}{3}[/tex].
Therefore, the correct option is B.