Answer:
A. [tex]\frac{6}{18}[/tex]
C.[tex]\frac{25}{75}[/tex]
D. [tex]\frac{19}{57}[/tex]
Step-by-step explanation:
We want to determine which of the options will simplify to [tex]\frac{1}{3}[/tex].
Let us first of all simplify all the given options, then we can select the ones that are equivalent to [tex]\frac{1}{3}[/tex].
The first fraction is [tex]\frac{6}{18}[/tex].
This is the same as [tex]\frac{6}{3\times 6}[/tex].
We cancel the common factor to obtain;
[tex]\frac{1}{3}[/tex]
For the second option we have [tex]\frac{9}{36}=\frac{9}{9\times 4}=\frac{1}{4}[/tex].
For the third option we have [tex]\frac{25}{75}=\frac{25}{3\times25}=\frac{1}{3}[/tex]
For the fourth option we have[tex]\frac{19}{57}=\frac{19}{3\times 19}=\frac{1}{3}[/tex]
Therefore the correct options are
A. [tex]\frac{6}{18}[/tex]
C.[tex]\frac{25}{75}[/tex]
D. [tex]\frac{19}{57}[/tex]
