Question

obtenha a fração irredutível equivalente a cada dizima períodica
0,232323
3,666
0,2171717
0,35111

Answer 1

$0,232323...= \dfrac{23}{99}$

$3,666...= \dfrac{36-3}{9} = \dfrac{33}{9}= \dfrac{33:3}{9:3} = \dfrac{11}{3}$

$0,2171717...= \dfrac{217-2}{990} =\dfrac{215}{990}=\dfrac{215:5}{990:5}=\dfrac{43}{198}$

$0,35111...= \dfrac{351-35}{900} = \dfrac{316}{900}= \dfrac{316:4}{900:4}= \dfrac{79}{225}$