Answer:
(C)
Step-by-step explanation:
A. The given fractions are:
[tex]\frac{32}{116}=\frac{9}{29}[/tex]
Upon solving , we get
[tex]\frac{8}{29}=\frac{9}{29}[/tex]
which is not possible, therefore this proportion does not show equivalence.
B.The given fractions are:
[tex]\frac{18}{36}=\frac{144}{72}[/tex]
Upon solving , we get
[tex]\frac{1}{2}=\frac{2}{1}[/tex]
which is not possible, therefore this proportion does not show equivalence.
C. The given fractions are:
[tex]\frac{18}{36}=\frac{72}{144}[/tex]
Upon solving , we get
[tex]\frac{1}{2}=\frac{1}{2}[/tex]
which satisfies the equivalence of two fractions, thus this is correct option.
D.The given fractions are:
[tex]\frac{19}{95}=\frac{57}{76}[/tex]
which is not possible, therefore this proportion does not show equivalence.
