3,11(6)=\(\frac{187}{60}\)

\(\frac{18,7}{x}=3,11\left(6\right)\)

\(\Rightarrow\frac{18,7}{x}=\frac{187}{60}\)

\(\Rightarrow x=\frac{18,7\cdot60}{187}=\frac{187\cdot6}{187}=6\)

3,11(6)=3.11+0,00(6)=3,11+0,00(1).6=311/100+1/900.6=311/100+1/150=187/60

thay vào

18,7:x=187/60

=>x=18,7:187,60=6

vậy x=6

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18,7/x=3,11(6)

=>18,7/x=4/25

=>x=25.18,7/4=116,875

18,7:x=3,11(6) mà 3,11(6)=\(\frac{187}{60}\)

nên 18,7:x=\(\frac{187}{60}\)Suy ra x=\(\frac{187}{10}\):\(\frac{187}{60}\)=6