Question

transforme em fracao irredutivel os seguintes numeros decimais
a) 0.16 b) 0.31222... c) 0.474747... d) - 2.1212... e) 1.4555... f) 1.1111...

Answer 1

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$a) \\ 0,16= \frac{16}{100} = \frac{4}{25} \\ b) \\ 0,31222...= \frac{312-31}{900} = \frac{281}{900} \\ c) \\ 0,4747...= \frac{47}{99} \\ d) \\ -2,1212...=-2+ \frac{12}{99}= - \frac{210}{99} =- \frac{70}{33} \\ e) \\ 1,4555...=1+ \frac{45-4}{90} =1+ \frac{41}{90} = \frac{131}{90} \\ f) \\ 1,111...=1+ \frac{1}{9} = \frac{10}{9}$