Answer:
x = [tex]\frac{1131}{99}[/tex].
Step-by-step explanation:
Given : 11.42424242 …
To find : Convert it to a rational expression in the form of a over b, where b ≠ 0.
Solution: We have given 11.42424242 …
We can see here two number 42 are repeating.
Let x = 11.42424242 …
On multiplying both sides by 100
100x = 100 * 11.42424242 …
100x = 1142.424242.....
100x = 11.4242.....+1131.00000.....
100x = x + 1131.0000....
On subtracting both sides by x
100x -x = 1131
99x = 1131.
On dividing both side by99.
x = [tex]\frac{1131}{99}[/tex].
Therefore, x = [tex]\frac{1131}{99}[/tex].
