Question

Resolva as expressões:
a) 2/5 x 1,3333....
b)5/9 : 0,56565656.....

Answer 1

a)
$1,333...=1+0,333...=1+ \frac{3}{9}= \frac{12}{9}= \frac{4}{3}$

Portanto,

$\frac{2}{5}.1,333...= \frac{2}{5}. \frac{4}{3}= \frac{2.4}{5.3}= \frac{8}{15}$

b)
$0,565656...= \frac{56}{99}$

Portanto,

$\frac{5}{9}: \frac{56}{99}= \frac{5}{9}.\frac{99}{56}=\frac{5}{1}. \frac{11}{56}= \frac{55}{56}$