Question

aflati x din proportia 0,(3)supra 0,1(6) = x supra 2,5

Answer 1

0,(3)=3/9=1/3
0,1(6)=(16-1)/90=15/90=1/6
2,5=25/10=5/2
(1/3)/(1/6)=x/(5/2)
6/3=2x/5
6·5=2x·3
30=6x
6x=30
x=30/6
x=5

Answer 2

3/9/15/90=x/25/10
⇒1/3/1/6=x/5/2
⇒1/3·6/1=x·2/5
⇒6/3=2x/5
⇒2=2x/5
⇒2x/5=2
⇒x=5·2/2
⇒x=5·1
⇒x=5;