Answer:
c. [tex]\frac{5}{33}[/tex]
Step-by-step explanation:
The given decimal is [tex]0.\bar {15}[/tex]
Let [tex]y=0.\bar {15}...(1)[/tex]
Multiply equation (1) by 100.
[tex]100y=15.\bar {15}...(2)[/tex]
Subtract equation (1) from equation (2)
[tex]\Rightarrow 100y-y=15.\bar {15}-0.\bar {15}[/tex]
[tex]\Rightarrow 99y=15[/tex]
Divide both sides by 99.
[tex]\Rightarrow y=\frac{15}{99}[/tex]
Simplify;
[tex]\Rightarrow y=\frac{5}{33}[/tex]
