Question

transforma as dizimas 0,161616 e 1,2666 em fração

Answer 1

0,16161616...

 

 

16,161...=100x

 -0,161...=x

---------------------

16=99x

x=16/99

 

 

1,266666...

 

 

12,666...=10x

 -1,266...=x

-------------------

11,4=9x

x=11,4/9

x=114/90=57/45

Answer 2

a) 0,1616161...=\frac{16}{99}

 

 

$<var>b) 1,2666...=1+0,26666.= 1+\frac{2,6666}{10} =1+\frac{2+0,6666}{10}=</var>$

 

$<var>1+\frac{2+0,6666}{10}=1+\frac{2+\frac{6}{9}}{10}=1+\frac{\frac{24}{9}}{10}=1+\frac{24}{90}=\frac{114}{90}=\frac{57}{45}</var>$