Answer:
x= [tex]\frac{23}{33}[/tex].
Step-by-step explanation:
Given : What is 0.69¯¯¯¯.
To find: expressed as a fraction in simplest form.
Solution : We have given that 0.69¯¯¯¯.
We can write it as 0.696969........
Solve by recurring decimal
Let x = 0.69
On multiplying both sides by 100
100x = 69.6969......
100x = 69 + 0.69
Plug x= 0.69
100x = 69 + x
On subtracting x from both sides
100x -x = 69
99 x = 69
On dividing both sides by 99
x = [tex]\frac{69}{99}[/tex].
x = [tex]\frac{23}{33}[/tex].
Therefore , x= [tex]\frac{23}{33}[/tex].
