The choices b and c are equivalent to [tex]\frac{4}{6}[/tex].
Step-by-step explanation:
Step 1:
First, we need to bring the fraction [tex]\frac{4}{6}[/tex] to its simplest form. To do so, we divide the numerator and the denominator by the greatest factor.
The greatest factor for 4 and 6 is 2. So we divide it by 2.
So [tex]\frac{4}{2}=2, \frac{6}{2}=3, \frac{4}{6}= \frac{2}{3}[/tex].
Step 2:
Similarly, we need to do the same for all the given four options.
a. [tex]\frac{2}{4}[/tex], the greatest factor for 2 and 4 is 2. So we divide the fraction by 2.
So [tex]\frac{2}{2}=1, \frac{4}{2}=2, \frac{2}{4}= \frac{1}{2}[/tex].
b. [tex]\frac{8}{12}[/tex], the greatest common factor for 8 and 12 is 4. So we divide the fraction by 4.
So [tex]\frac{8}{4}=2, \frac{12}{4}=3, \frac{8}{12}= \frac{2}{3}[/tex].
For options c and d, 1 is the greatest factor so they cannot be simplified. They remain as they are.
Step 3:
So options b and c are equal to the simplification of [tex]\frac{4}{6}[/tex] i.e. [tex]\frac{2}{3}[/tex].
