Answer:
[tex]\dfrac{5}{11}=0.\overline{45}[/tex]
Step-by-step explanation:
Given: [tex]\dfrac{5}{11}[/tex]
We need to change given fraction into decimal.
[tex]x=\dfrac{5}{11}-------(1)[/tex]
[tex]11x=5[/tex]
Multiply both sides by 9
[tex]99x=45-----------(2)[/tex]
Add equation (1) and (2)
[tex]99x+x=45+\dfrac{5}{11}[/tex]
[tex]100x=45.45.....[/tex]
Divide both sides by 100
[tex]x=0.454545.....[/tex]
[tex]\dfrac{5}{11}=0.454545.......=0.\overline{45}[/tex]
