Answer :
[tex]0.050505...=?\\\\x=0.50505...\ \ /\cdot100\\\\100x=5.050505...\\-------------\\100x-x=5.050505..-0.050505...\\\\99x=5\ \ /:99\\\\x= \frac{\big{5}}{\big{99}} [/tex]
Answer:
[tex]\frac{5}{99}[/tex]
Step-by-step explanation:
We are given a repeating decimal [tex]0.\bar{05}[/tex]
Let x=0.0505050505.......... ---------------eq(1)
We can see two digit is repeating after decimal
So, we multiply by 100 both sides of equation x=0.05050505.... and we get
100x=5.0505050505......... ---------------eq(2)
Subtract eq(2)-eq(1)
100x-x=5
99x=5
[tex]x=\frac{5}{99}[/tex]
[tex]0.050505..... = \frac{5}{99}[/tex]
Thus, [tex]\frac{5}{99}[/tex] as fraction.
