Question

Calculeaza :
a) 2 pe 5 din 0,1(6) =
b) 4:9 - 0,(5) : 5 pe 3 =

Answer 1

$\displaystyle\dfrac{2}{5}\times 0,1(6)=\dfrac{2}{5}\times\dfrac{16-1}{90}=\dfrac{2}{5}\times\dfrac{1}{6}=\dfrac{2}{30}=\dfrac{1}{15} \\ \\ \dfrac{4}{9}-\dfrac{5}{9}:\dfrac{5}{3}=\dfrac{4}{9}-\dfrac{5}{9}\times\dfrac{3}{5}=\dfrac{4}{9}-\dfrac{3}{9}=\dfrac{1}{9}$

Answer 2

a) = 2/5  x 15/90 = 30/450 = 1/ 15 

b) = 4/9 - 5/9 x 3/5 = 4/9 - 3/9 =  1/9