Answer:
0.15 repeating is 5/33
Work Shown:
First, we can write:
x = 0.15 repeating = 0.1515...
Now, we multiply both sides by 100:
⇒ 100x = 15.1515... (2)
Subtracting (1) from (2), we get:
⇒ 100x − x = 15.1515... - 0.1515...
We can now solve for x as follows:
⇒ 100x − x = (15 + 0.1515...) − 0.1515...
⇒ (100 − 1) x = 15 + 0
⇒ 99 x = 15
After simplifying the fraction:
⇒ x = 15/99 = 5/33
