Question

Which proportion correctly shows the equivalence of two fractions? 

A. 32⁄116 = 9⁄29  B. 18⁄36 = 144⁄72  C. 18⁄36 = 72⁄144  D. 19⁄95 = 57⁄76

Answer 1

c is the answer

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Explanation:

Answer 2

(C)

Explanation:

A. The given fractions are:

`(32)/(116)=(9)/(29)`

Upon solving , we get

`(8)/(29)=(9)/(29)`

which is not possible, therefore this proportion does not show equivalence.

B.The given fractions are:

`(18)/(36)=(144)/(72)`

Upon solving , we get

`(1)/(2)=(2)/(1)`

which is not possible, therefore this proportion does not show equivalence.

C. The given fractions are:

`(18)/(36)=(72)/(144)`

Upon solving , we get

`(1)/(2)=(1)/(2)`

which satisfies the equivalence of two fractions, thus this is correct option.

D.The given fractions are:

`(19)/(95)=(57)/(76)`

which is not possible, therefore this proportion does not show equivalence.