0,3(18)=0,3+0,0(18)=3/10+0,0(01).18=3/10+1/990.18=3/10+1/55=7/22

0,3(18)=0,3+0,0(18)=0,3+0,0(01). 18 =0,3+\(\frac{1}{990}.18=\frac{3}{10}+\frac{1}{55}=\frac{7}{22}\)

0,1(23)  =\(\frac{1}{10}.1,\left(23\right)=\frac{1}{10}\left(1+0,\left(23\right)\right)=\frac{1}{10}.\left(1+23.0,\left(01\right)\right)=\frac{1}{10}.\left(1+23.\frac{1}{99}\right)=\frac{61}{495}\)

\(\frac{5^3.90.4^3}{25^2.3^2.2^{13}}=\frac{5^3.2.3^2.5.\left(2^2\right)^3}{\left(5^2\right)^2.3^2.2^{13}}=\frac{5^4.3^2.2^7}{5^4.3^2.2^{13}}=\frac{1}{2^4}=\frac{1}{16}\)

1/16                            

\(\frac{5^3.90.4^3}{25^3.3^2.2^{13}}=\frac{125.90.64}{15625.9.8192}=\frac{125.9.10.64}{125.125.9.64.128}=\frac{10}{125.128}=\frac{10}{16000}=\frac{1}{1600}\)

\(0,3\left(18\right)=\frac{1}{10}.\left(3+18.0,\left(01\right)\right)=\frac{1}{10}.\left(3+18.\frac{1}{99}\right)=\frac{7}{22}\)

0,0(3)=1/30

0,1(2)=11/90

0,3(27)=18/55