Respostas

2013-06-05T19:58:09-03:00

a) Vamos chamar o valor de 0,555... de a, vamos multiplicar a por 10 tendo 10a=5,555....

Agora iremos subtrair a de 10a ==> 10a-a=5,555...-0,555... ==> 9a=5 ==> a=5/9

 

b) 1,0303.... = a ===> 100a=103,0303.... ==> 100a-a=103,0303...-1,0303... => 99a=102 ==> a=34/33

 

c)5,018018...=a ==> 1000a=5018,018... => 1000a-a=5018,018-5,0180... => 5013=999a => a=5013/999 => a= 557/111

d) 0,06666=a ==> 10a = 0,666..... 100a=6,6666==> 100a-10a = 6,6666-0,6666 => 90a=6 => a=1/15

e) 1,29666.... =a ==> 1000a=1296,666 ==> 100a=129,666... ==> 900a=1167 a=>389/300

 

f) 0,45... =a ==> 100a=45,45... => 99a=45 ==> a=5/11

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