Question

Gía trị của x thỏa mãn : 0,1(6) : x = 0,(33) là x = .........

Giup mjnh vs !

Answer 1

0,1(6):x=0,(33)

=>[0,1+0,0(6)]:x=33/99=1/3

=>(1/10+1/15):1/3=x

=>1/6.3=x

=>x=3/6=1/2=0,5

nhớ tick nhé

Answer 2

Ta có: \(0,1\left(6\right)=0,1+0,0\left(6\right)=0,1+\frac{1}{10}.0,\left(6\right)=0,1+\frac{1}{10}.6.0,\left(1\right)=0,1+\frac{1}{10}.6.\frac{1}{9}=\frac{1}{6}\)\(0,\left(33\right)=33.0,\left(01\right)=33.\frac{1}{99}=\frac{1}{3}\)

\(\Rightarrow\frac{1}{6}:x=\frac{1}{3}\Rightarrow x=\frac{1}{6}:\frac{1}{3}=\frac{1}{2}\)