Question

aflati x din proportia x• 1,(6)supra 0,(5)=0,4(6)supra3,75

Answer 1

1,(6)=(16-1)/9=15/9=simplif=5/3
0,(5)=5/9
0,4(6)=(46-4)/90=42/90=14/30
375/100=simplif=75/20=15/4
x·[(5/3)/(5/9)]=[(14/30)/(15/4)]
x·5/3:5/9=14/30:15/4
x·5/3·9/5=14/30·4/15
3x=28/225
3x·225=28
675x=28
x=28/675
x=0,04(148)

Answer 2

x·1,6/0,5=0,4(6)/3,75
16x/10 : 5/10=46-4/90 : 375/100
16x/10  : 5/10=42/90 : 375/100
16x/10 · 10/5=42/90 · 100/375
16x/5=420/3375
16x · 3375=5·420
54000x=2100
x=2100/54000
x=0,3(8)
Sper ca te-am ajutat!