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Answer :
[tex]\frac{19}{114}=\frac{19}{19 \cdot 6}=\frac{1}{6}[/tex]
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To do it you should try do divide 114 by 19. If you get signed number then it is possible to simplify that ratio.
[tex]114:19=6[/tex]
then:
[tex]\frac{19}{114}=\frac{19:19}{114:19}=\frac{1}{6}[/tex]
[tex]114:19=6[/tex]
then:
[tex]\frac{19}{114}=\frac{19:19}{114:19}=\frac{1}{6}[/tex]