Ta có : \(0,\left(1\right)=\frac{1}{9};\)\(0,0\left(1\right)=\frac{1}{90};\)\(0,00\left(1\right)=\frac{1}{900}\)nên suy ra:
\(-2,37\left(1\right)=-\left[2,37\left(1\right)\right]\)
\(=-\left[2,37+0,00\left(1\right)\right]\)
\(=-\left[2,37+\frac{1}{900}\right]\)
\(=-\left[\frac{2133}{900}+\frac{1}{900}\right]\)
\(=-\frac{2134}{900}=\frac{-1067}{450}\)
Vậy \(-2,37\left(1\right)=\frac{-1067}{450}\)