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Equivalent Expressions - Ethnicity of a Child

SATMAT-XUZJYM

The ethnicity of Kate's paternal grandfather (her father's father) is $x$% German. Kate has no other German influence in her ethnicity.

Assuming Kate has children with her husband, who has no German influence in his own background, which of the following expressions correctly shows the amount of German influence in her children's ethnicity?

A

$\cfrac { 1 }{ 2 } x\%$

B

$\cfrac { 1 }{ 4 } x\%$

C

$\cfrac { 1 }{ 8 } x\%$

D

$\cfrac { 1 }{ 16 } x\%$