0,0(8) = \(0,\left(8\right).\frac{1}{10}\)
= \(0,\left(1\right).8.\frac{1}{10}\)
= \(\frac{1}{9}.8.\frac{1}{10}\)
= \(\frac{4}{45}\)
0,1(2) = 1,(2) . \(\frac{1}{10}\)
= \(\left[1+0,\left(2\right)\right].\frac{1}{10}\)
= \(\left[1+\frac{2}{9}\right].\frac{1}{10}\) (bạn làm tương tự như bên trên nhé)
= \(\frac{11}{90}\)
0,1(23) = 1,(23)\(.\frac{1}{10}\)
= \(\left[1+0,\left(23\right)\right].\frac{1}{10}\)
= \(\left[1+23.0,\left(01\right)\right].\frac{1}{10}\)
= \(\left(1+23.\frac{1}{99}\right).\frac{1}{10}\)
= \(\left(1+\frac{23}{99}\right).\frac{1}{10}\)
= \(\frac{122}{99}.\frac{1}{10}\)
=\(\frac{61}{495}\)
Chúc bạn học tốt
